<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=us-ascii">
<style type="text/css" style="display:none;"><!-- P {margin-top:0;margin-bottom:0;} --></style>
</head>
<body dir="ltr">
<div id="divtagdefaultwrapper" style="font-size:12pt;color:#000000;font-family:Calibri,Helvetica,sans-serif;" dir="ltr">
<p style="margin-top:0;margin-bottom:0"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Hi Justin,</span></p>
<p style="margin-top:0;margin-bottom:0"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
<span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">1) Here is some UFL for my mixed system (u in BDM2, h in DG1)</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; color: rgb(205, 161, 7); background-color: rgb(178, 178, 178);"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">a</span></span><span style="font-variant-ligatures: no-common-ligatures; background-color: rgb(178, 178, 178);"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
= (</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"> </span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; background-color: #b2b2b2"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">inner(ai*u,v) - dt*inner(f*perp(u),v) +</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; background-color: #b2b2b2"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">dt*inner(g*h,div(v))
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"> </span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; background-color: #b2b2b2"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">+inner(ai*h,phi) - dt*inner(H*div(u),phi)</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
</span></span></p>
<p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo; background-color: rgb(178, 178, 178);">
<span style="font-variant-ligatures: no-common-ligatures; font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">)*dx<span style="background-color: rgb(255, 255, 255);"> </span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo; background-color: rgb(178, 178, 178);">
<span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255);"><br>
</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo; background-color: rgb(178, 178, 178);">
<span style="font-variant-ligatures: no-common-ligatures; font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"><span style="background-color: rgb(255, 255, 255);"></span></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255);">Which
then has the exact Schur complement (when using an H(div)-L2 element pair</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo; background-color: rgb(178, 178, 178);">
<span style="font-variant-ligatures: no-common-ligatures; color: rgb(205, 161, 7);"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"><br>
</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo; background-color: rgb(178, 178, 178);">
<span style="font-variant-ligatures: no-common-ligatures; font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);"></span><span style="font-variant-ligatures: no-common-ligatures; color: rgb(205, 161, 7);"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">aP</span></span><span style="font-variant-ligatures: no-common-ligatures;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255);">
= (inner(ai*u,v) + dt**2*inner(g*H*div(u)/ai,div(v))</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255);"> </span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; background-color: #b2b2b2"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">- dt*inner(f*perp(u),v)</span></span><span style="background-color: rgb(255, 255, 255); font-family: Arial, Helvetica, sans-serif; font-size: 10pt; color: rgb(0, 0, 0);">)*dx</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="background-color: rgb(178, 178, 178);"><br>
</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="background-color: rgb(255, 255, 255); font-family: Arial, Helvetica, sans-serif; font-size: 10pt; color: rgb(0, 0, 0);">2) I put FGMRES on the outer iteration and appended the result to the bottom of this message.</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="background-color: rgb(178, 178, 178);"><br>
</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="background-color: rgb(255, 255, 255); font-family: Arial, Helvetica, sans-serif; font-size: 10pt; color: rgb(0, 0, 0);">all the best</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="background-color: rgb(255, 255, 255); font-family: Arial, Helvetica, sans-serif; font-size: 10pt; color: rgb(0, 0, 0);">--Colin </span></p>
<p style="margin-top:0;margin-bottom:0"><br>
</p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"> Residual norms for firedrake_0_ solve.</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP unpreconditioned resid norm 1.086016610848e-03 true resid norm 1.086016610848e-03 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 8.120721494511e+01 true resid norm 1.655197512879e+02 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 9.439702024300e+00 true resid norm 3.075997034466e+01 ||r(i)||/||b|| 1.858386694356e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 1.137279699060e+00 true resid norm 7.503013051026e+00 ||r(i)||/||b|| 4.533001646417e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 1.496062340941e-01 true resid norm 1.484527899318e+00 ||r(i)||/||b|| 8.968886720568e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 2.056482137526e-02 true resid norm 3.031663733277e-01 ||r(i)||/||b|| 1.831602397713e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 1.745270896489e-03 true resid norm 3.767168288302e-02 ||r(i)||/||b|| 2.275962994742e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 1.564628458491e-04 true resid norm 3.546145962849e-03 ||r(i)||/||b|| 2.142430698002e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP unpreconditioned resid norm 1.085836886832e-03 true resid norm 1.085836886832e-03 ||r(i)||/||b|| 9.998345108044e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 3.877459187203e-01 true resid norm 1.000000000000e+00 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 4.065088730543e-02 true resid norm 1.756656283999e-01 ||r(i)||/||b|| 1.756656283999e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 5.708009085053e-03 true resid norm 4.422956647739e-02 ||r(i)||/||b|| 4.422956647739e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 7.309033373261e-04 true resid norm 8.666099848662e-03 ||r(i)||/||b|| 8.666099848662e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 1.133694903547e-04 true resid norm 1.609496315342e-03 ||r(i)||/||b|| 1.609496315342e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 1.227169910863e-05 true resid norm 2.710100172099e-04 ||r(i)||/||b|| 2.710100172099e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 1.047216213052e-06 true resid norm 2.489323919135e-05 ||r(i)||/||b|| 2.489323919135e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP unpreconditioned resid norm 1.075476649437e-03 true resid norm 1.075476649437e-03 ||r(i)||/||b|| 9.902948432781e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 4.856780223694e-01 true resid norm 1.000000000000e+00 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 4.745469162937e-02 true resid norm 3.302334019978e-01 ||r(i)||/||b|| 3.302334019978e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 7.434637319370e-03 true resid norm 7.716456937097e-02 ||r(i)||/||b|| 7.716456937097e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 9.477403463953e-04 true resid norm 1.245956505675e-02 ||r(i)||/||b|| 1.245956505675e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 1.197149803247e-04 true resid norm 2.445415954040e-03 ||r(i)||/||b|| 2.445415954041e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 8.629298003468e-06 true resid norm 2.172099238673e-04 ||r(i)||/||b|| 2.172099238673e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 8.102365661753e-07 true resid norm 2.101591443240e-05 ||r(i)||/||b|| 2.101591443241e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP unpreconditioned resid norm 8.228196318802e-04 true resid norm 8.228196318802e-04 ||r(i)||/||b|| 7.576492142582e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 5.432442358474e-01 true resid norm 1.000000000000e+00 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 5.878289354883e-02 true resid norm 3.137642427673e-01 ||r(i)||/||b|| 3.137642427673e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 5.788229173110e-03 true resid norm 8.897854046325e-02 ||r(i)||/||b|| 8.897854046324e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 8.498991030513e-04 true resid norm 1.495053243269e-02 ||r(i)||/||b|| 1.495053243269e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 1.033515356385e-04 true resid norm 1.845694418294e-03 ||r(i)||/||b|| 1.845694418294e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 7.847588222485e-06 true resid norm 2.466173373852e-04 ||r(i)||/||b|| 2.466173373852e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 7.146079509981e-07 true resid norm 1.719476126742e-05 ||r(i)||/||b|| 1.719476126742e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP unpreconditioned resid norm 1.657400277959e-04 true resid norm 1.657400277959e-04 ||r(i)||/||b|| 1.526127926041e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 5.120302137337e-01 true resid norm 9.999999999998e-01 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 6.454992757385e-02 true resid norm 2.912694339903e-01 ||r(i)||/||b|| 2.912694339903e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 6.671724869182e-03 true resid norm 6.254491231334e-02 ||r(i)||/||b|| 6.254491231335e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 8.212101901860e-04 true resid norm 1.773238703254e-02 ||r(i)||/||b|| 1.773238703254e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 1.093679881645e-04 true resid norm 2.931666247026e-03 ||r(i)||/||b|| 2.931666247027e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 1.186578053622e-05 true resid norm 3.303748399822e-04 ||r(i)||/||b|| 3.303748399822e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 6.503381106855e-07 true resid norm 1.912788140490e-05 ||r(i)||/||b|| 1.912788140490e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP unpreconditioned resid norm 2.448137330609e-05 true resid norm 2.448137330609e-05 ||r(i)||/||b|| 2.254235622324e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 5.179583235178e-01 true resid norm 1.000000000000e+00 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 5.254142246569e-02 true resid norm 2.516327547106e-01 ||r(i)||/||b|| 2.516327547105e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 7.363444586475e-03 true resid norm 5.234766639265e-02 ||r(i)||/||b|| 5.234766639263e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 9.704643808280e-04 true resid norm 1.267956066012e-02 ||r(i)||/||b|| 1.267956066011e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 1.086598853731e-04 true resid norm 3.391601116038e-03 ||r(i)||/||b|| 3.391601116037e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 7.629924161284e-06 true resid norm 3.006619653634e-04 ||r(i)||/||b|| 3.006619653632e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 7.239392986410e-07 true resid norm 2.150547391218e-05 ||r(i)||/||b|| 2.150547391217e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP unpreconditioned resid norm 2.402006637155e-06 true resid norm 2.402006637153e-06 ||r(i)||/||b|| 2.211758653745e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 3.416765078712e-01 true resid norm 9.999999999993e-01 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 3.841617294439e-02 true resid norm 1.983060322744e-01 ||r(i)||/||b|| 1.983060322745e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 5.192499214944e-03 true resid norm 3.903498722784e-02 ||r(i)||/||b|| 3.903498722787e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 7.152864973143e-04 true resid norm 7.896855714048e-03 ||r(i)||/||b|| 7.896855714054e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 9.150050794784e-05 true resid norm 1.709682316519e-03 ||r(i)||/||b|| 1.709682316520e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 1.369470900870e-05 true resid norm 4.755514972773e-04 ||r(i)||/||b|| 4.755514972776e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 8.553609674167e-07 true resid norm 4.128479317005e-05 ||r(i)||/||b|| 4.128479317008e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">7 KSP unpreconditioned resid norm 1.986730253405e-07 true resid norm 1.986730253416e-07 ||r(i)||/||b|| 1.829373725568e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 3.737152121707e-01 true resid norm 1.000000000001e+00 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 2.327226787051e-02 true resid norm 1.728532258160e-01 ||r(i)||/||b|| 1.728532258158e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 2.663283601003e-03 true resid norm 2.117224456449e-02 ||r(i)||/||b|| 2.117224456446e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 4.000029435799e-04 true resid norm 4.527340194475e-03 ||r(i)||/||b|| 4.527340194470e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 4.886053047259e-05 true resid norm 7.959488416139e-04 ||r(i)||/||b|| 7.959488416128e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 7.135914581342e-06 true resid norm 1.973225005950e-04 ||r(i)||/||b|| 1.973225005947e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 1.059888416230e-06 true resid norm 4.026894864745e-05 ||r(i)||/||b|| 4.026894864740e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">8 KSP unpreconditioned resid norm 1.847329119073e-08 true resid norm 1.847329119335e-08 ||r(i)||/||b|| 1.701013686976e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 3.105703514818e-01 true resid norm 9.999999999993e-01 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 2.274848341406e-02 true resid norm 1.655926612050e-01 ||r(i)||/||b|| 1.655926612051e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 1.896323766042e-03 true resid norm 2.108620526506e-02 ||r(i)||/||b|| 2.108620526507e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 2.098171871374e-04 true resid norm 2.562423770591e-03 ||r(i)||/||b|| 2.562423770592e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 2.802038862500e-05 true resid norm 4.753351438216e-04 ||r(i)||/||b|| 4.753351438219e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 2.875826461982e-06 true resid norm 8.618109518277e-05 ||r(i)||/||b|| 8.618109518283e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">9 KSP unpreconditioned resid norm 1.093052879829e-09 true resid norm 1.093052879480e-09 ||r(i)||/||b|| 1.006478969623e-06</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Residual norms for firedrake_0_fieldsplit_1_ solve.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">0 KSP preconditioned resid norm 2.400304155508e-01 true resid norm 9.999999999373e-01 ||r(i)||/||b|| 1.000000000000e+00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">1 KSP preconditioned resid norm 1.375935214529e-02 true resid norm 1.268731042794e-01 ||r(i)||/||b|| 1.268731042874e-01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">2 KSP preconditioned resid norm 1.359927799420e-03 true resid norm 1.743482323300e-02 ||r(i)||/||b|| 1.743482323409e-02</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">3 KSP preconditioned resid norm 1.329143848901e-04 true resid norm 2.112118748978e-03 ||r(i)||/||b|| 2.112118749111e-03</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">4 KSP preconditioned resid norm 2.299763657223e-05 true resid norm 3.661832963830e-04 ||r(i)||/||b|| 3.661832964060e-04</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">5 KSP preconditioned resid norm 3.042002639898e-06 true resid norm 8.825775436656e-05 ||r(i)||/||b|| 8.825775437210e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">6 KSP preconditioned resid norm 2.755403722945e-07 true resid norm 1.154450754603e-05 ||r(i)||/||b|| 1.154450754675e-05</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">10 KSP unpreconditioned resid norm 6.865249627765e-11 true resid norm 6.865249509492e-11 ||r(i)||/||b|| 6.321495860116e-08</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">KSP Object: (firedrake_0_) 1 MPI processes</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: fgmres</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">happy breakdown tolerance 1e-30</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">maximum iterations=10000, initial guess is zero</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">tolerances:</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">relative=1e-07, absolute=1e-50, divergence=10000.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">right preconditioning</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using UNPRECONDITIONED norm type for convergence test</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">PC Object: (firedrake_0_) 1 MPI processes</span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: fieldsplit</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">FieldSplit with Schur preconditioner, factorization FULL</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Preconditioner for the Schur complement formed from A11</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Split info:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Split number 0 Defined by IS</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Split number 1 Defined by IS</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">KSP solver for A00 block</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">KSP Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: preonly</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">maximum iterations=10000, initial guess is zero</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">tolerances:</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">relative=1e-05, absolute=1e-50, divergence=10000.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">left preconditioning</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using NONE norm type for convergence test</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">PC Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: lu</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">out-of-place factorization</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">tolerance for zero pivot 2.22045e-14</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">matrix ordering: nd</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">factor fill ratio given 5., needed 1.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Factored matrix follows:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=6144, cols=6144</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">package used to perform factorization: petsc</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=18432, allocated nonzeros=18432</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 2048 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">linear system matrix = precond matrix:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=6144, cols=6144</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=18432, allocated nonzeros=18432</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 2048 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">KSP solver for S = A11 - A10 inv(A00) A01</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"> </span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">KSP Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: gmres</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">happy breakdown tolerance 1e-30</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">maximum iterations=10000, initial guess is zero</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">tolerances:</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">relative=1e-05, absolute=1e-50, divergence=10000.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">left preconditioning</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using PRECONDITIONED norm type for convergence test</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">PC Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: lu</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">out-of-place factorization</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">tolerance for zero pivot 2.22045e-14</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">matrix ordering: nd</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">factor fill ratio given 5., needed 5.09173</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Factored matrix follows:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=15360, cols=15360</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">package used to perform factorization: petsc</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=1360836, allocated nonzeros=1360836</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 5120 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">linear system matrix followed by preconditioner matrix:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: schurcomplement</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=15360, cols=15360</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Schur complement A11 - A10 inv(A00) A01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">A11</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=15360, cols=15360</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=267264, allocated nonzeros=267264</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 5120 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">A10</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=15360, cols=6144</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=73728, allocated nonzeros=73728</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 5120 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">KSP of A00</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">KSP Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: preonly</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">maximum iterations=10000, initial guess is zero</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">tolerances:</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">relative=1e-05, absolute=1e-50, divergence=10000.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">left preconditioning</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using NONE norm type for convergence test</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">PC Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: lu</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">out-of-place factorization</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">tolerance for zero pivot 2.22045e-14</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">matrix ordering: nd</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">factor fill ratio given 5., needed 1.</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Factored matrix follows:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=6144, cols=6144</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">package used to perform factorization: petsc</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=18432, allocated nonzeros=18432</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 2048 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">linear system matrix = precond matrix:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=6144, cols=6144</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=18432, allocated nonzeros=18432</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 2048 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">A01</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=6144, cols=15360</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=73728, allocated nonzeros=73728</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 2048 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=15360, cols=15360</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=267264, allocated nonzeros=267264</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 5120 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">linear system matrix followed by preconditioner matrix:</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: (firedrake_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=21504, cols=21504</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=433152, allocated nonzeros=433152</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">using I-node routines: found 7168 nodes, limit used is 5</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">Mat Object: (firedrake_0_) 1 MPI processes</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">type: seqaij</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">rows=21504, cols=21504</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total: nonzeros=433152, allocated nonzeros=433152</span></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures"><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;">total number of mallocs used during MatSetValues calls =0</span></span></p>
<p><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span><span style="font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"></span></p>
<p style="margin-right: 0px; margin-left: 0px; font-stretch: normal; font-size: 11px; line-height: normal; font-family: Menlo;">
<span style="font-variant-ligatures: no-common-ligatures; font-family: Arial, Helvetica, sans-serif; font-size: 10pt;"> using I-node routines: found 7168 nodes, limit used is 5</span></p>
</div>
<hr style="display:inline-block;width:98%" tabindex="-1">
<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> Justin Chang <jychang48@gmail.com><br>
<b>Sent:</b> 18 March 2019 21:01:17<br>
<b>To:</b> Cotter, Colin J<br>
<b>Cc:</b> petsc-users@mcs.anl.gov<br>
<b>Subject:</b> Re: [petsc-users] Confusing Schur preconditioner behaviour</font>
<div> </div>
</div>
<div>
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">Colin,
<div><br>
</div>
<div>1) What equations are you solving?</div>
<div><br>
</div>
<div>2) In your second case, you set the outer ksp to preonly, thus we are unable to see the ksp_monitor for the (firedrake_0_) solver. Set it to gmres and see if you have a similar output to your first case:</div>
<div><br>
</div>
0 KSP preconditioned resid norm 4.985448866758e+00 true resid norm 1.086016610848e-03 ||r(i)||/||b|| 1.000000000000e+00<br>
1 KSP preconditioned resid norm 1.245615753306e-13 true resid norm 2.082000915439e-14 ||r(i)||/||b|| 1.917098591903e-11</div>
<div dir="ltr"><br>
</div>
<div>Because according to the first ksp_view output, after one lu sweep for the (firedrake_0_fieldsplit_1_) solver. That is, going from:</div>
<div><br>
</div>
0 KSP preconditioned resid norm 8.819238435108e-02 true resid norm 1.797571993221e-01 ||r(i)||/||b|| 1.000000000000e+00<br>
<br>
to <br>
<br>
1 KSP preconditioned resid norm 1.025167319984e-02 true resid norm 3.340583874349e-02 ||r(i)||/||b|| 1.858386694356e-01</div>
<div dir="ltr"><br>
</div>
<div>appeared to give you an exact schur complement.</div>
<div><br>
</div>
<div>Justin</div>
</div>
</div>
</div>
</div>
</div>
<br>
<div class="x_gmail_quote">
<div dir="ltr" class="x_gmail_attr">On Mon, Mar 18, 2019 at 2:18 PM Cotter, Colin J via petsc-users <<a href="mailto:petsc-users@mcs.anl.gov">petsc-users@mcs.anl.gov</a>> wrote:<br>
</div>
<blockquote class="x_gmail_quote" style="margin:0px 0px 0px 0.8ex; border-left-width:1px; border-left-style:solid; border-left-color:rgb(204,204,204); padding-left:1ex">
<div dir="ltr">
<div id="x_gmail-m_-1881985261999472254divtagdefaultwrapper" dir="ltr" style="font-size:12pt; color:rgb(0,0,0); font-family:Calibri,Helvetica,sans-serif">
<p style="margin-top:0px; margin-bottom:0px">Sorry, just to clarify, in the second case I see several *inner* iterations, even though I'm using LU on a supposedly exact Schur complement as the preconditioner for the Schur system.</p>
</div>
<hr style="display:inline-block; width:98%">
<div id="x_gmail-m_-1881985261999472254divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" color="#000000" style="font-size:11pt"><b>From:</b> petsc-users <<a href="mailto:petsc-users-bounces@mcs.anl.gov" target="_blank">petsc-users-bounces@mcs.anl.gov</a>>
on behalf of Cotter, Colin J via petsc-users <<a href="mailto:petsc-users@mcs.anl.gov" target="_blank">petsc-users@mcs.anl.gov</a>><br>
<b>Sent:</b> 18 March 2019 20:14:48<br>
<b>To:</b> <a href="mailto:petsc-users@mcs.anl.gov" target="_blank">petsc-users@mcs.anl.gov</a><br>
<b>Subject:</b> [petsc-users] Confusing Schur preconditioner behaviour</font>
<div> </div>
</div>
<div dir="ltr">
<div id="x_gmail-m_-1881985261999472254x_divtagdefaultwrapper" dir="ltr" style="font-size:12pt; color:rgb(0,0,0); font-family:Calibri,Helvetica,sans-serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols">
<p style="margin-top:0px; margin-bottom:0px"></p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Dear petsc-users,</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
I'm solving a 2x2 block system, for which I can construct the Schur complement analytically (through compatible FEM stuff),</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
which I can pass as the preconditioning matrix.</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
When using gmres on the outer iteration, and preonly+lu on the inner iterations with a Schur complement preconditioner,</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
I see convergence in 1 iteration as expected. However, when I set gmres+lu on the inner iteration for S, I see several iterations.</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
This seems strange to me, as the first result seems to confirm that I have an exact Schur complement, but the second result</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
implies not.</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
What could be going on here?</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
I've appended output to the bottom of this message, first the preonly+lu and then for gmres+lu.</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
all the best</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
--Colin</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
</p>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_ITS iterations 1</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Residual norms for firedrake_0_ solve.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
0 KSP preconditioned resid norm 4.985448866758e+00 true resid norm 1.086016610848e-03 ||r(i)||/||b|| 1.000000000000e+00</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_ITS iterations 1</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
1 KSP preconditioned resid norm 1.245615753306e-13 true resid norm 2.082000915439e-14 ||r(i)||/||b|| 1.917098591903e-11</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: gmres</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
happy breakdown tolerance 1e-30</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-07, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using PRECONDITIONED norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: fieldsplit</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
FieldSplit with Schur preconditioner, factorization FULL</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Preconditioner for the Schur complement formed from A11</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Split info:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Split number 0 Defined by IS</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Split number 1 Defined by IS</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP solver for A00 block</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: preonly</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using NONE norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: lu</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
out-of-place factorization</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerance for zero pivot 2.22045e-14</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
matrix ordering: nd</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
factor fill ratio given 5., needed 1.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Factored matrix follows:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
package used to perform factorization: petsc</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix = precond matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP solver for S = A11 - A10 inv(A00) A01 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: preonly</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using NONE norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: lu</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
out-of-place factorization</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerance for zero pivot 2.22045e-14</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
matrix ordering: nd</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
factor fill ratio given 5., needed 5.09173</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Factored matrix follows:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
package used to perform factorization: petsc</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=1360836, allocated nonzeros=1360836</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix followed by preconditioner matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: schurcomplement</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Schur complement A11 - A10 inv(A00) A01</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
A11</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=267264, allocated nonzeros=267264</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
A10</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=73728, allocated nonzeros=73728</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP of A00</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: preonly</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using NONE norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: lu</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
out-of-place factorization</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerance for zero pivot 2.22045e-14</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
matrix ordering: nd</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
factor fill ratio given 5., needed 1.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Factored matrix follows:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
package used to perform factorization: petsc</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix = precond matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
A01</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=73728, allocated nonzeros=73728</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=267264, allocated nonzeros=267264</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix followed by preconditioner matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: nest</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=21504, cols=21504</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Matrix object: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type=nest, rows=2, cols=2 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
MatNest structure: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,0) : type=seqaij, rows=15360, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,1) : type=seqaij, rows=15360, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,0) : type=seqaij, rows=6144, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,1) : type=seqaij, rows=6144, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: nest</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=21504, cols=21504</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Matrix object: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type=nest, rows=2, cols=2 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
MatNest structure: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,0) : prefix="firedrake_0_fieldsplit_1_", type=seqaij, rows=15360, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,1) : type=seqaij, rows=15360, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,0) : type=seqaij, rows=6144, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,1) : prefix="firedrake_0_fieldsplit_0_", type=seqaij, rows=6144, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</div>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
=====</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</p>
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
</p>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Residual norms for firedrake_0_fieldsplit_1_ solve.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
0 KSP preconditioned resid norm 8.819238435108e-02 true resid norm 1.797571993221e-01 ||r(i)||/||b|| 1.000000000000e+00</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
1 KSP preconditioned resid norm 1.025167319984e-02 true resid norm 3.340583874349e-02 ||r(i)||/||b|| 1.858386694356e-01</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
2 KSP preconditioned resid norm 1.235104644359e-03 true resid norm 8.148396804822e-03 ||r(i)||/||b|| 4.533001646417e-02</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
3 KSP preconditioned resid norm 1.624748553125e-04 true resid norm 1.612221957927e-03 ||r(i)||/||b|| 8.968886720573e-03</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
4 KSP preconditioned resid norm 2.233373761266e-05 true resid norm 3.292437172839e-04 ||r(i)||/||b|| 1.831602397710e-03</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
5 KSP preconditioned resid norm 1.895393184017e-06 true resid norm 4.091207337005e-05 ||r(i)||/||b|| 2.275962994770e-04</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
6 KSP preconditioned resid norm 1.699212495729e-07 true resid norm 3.851173419652e-06 ||r(i)||/||b|| 2.142430697728e-05</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Linear firedrake_0_fieldsplit_1_ solve converged due to CONVERGED_RTOL iterations 6</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: preonly</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using NONE norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: fieldsplit</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
FieldSplit with Schur preconditioner, factorization FULL</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Preconditioner for the Schur complement formed from A11</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Split info:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Split number 0 Defined by IS</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Split number 1 Defined by IS</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP solver for A00 block</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: preonly</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using NONE norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: lu</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
out-of-place factorization</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerance for zero pivot 2.22045e-14</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
matrix ordering: nd</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
factor fill ratio given 5., needed 1.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Factored matrix follows:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
package used to perform factorization: petsc</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix = precond matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP solver for S = A11 - A10 inv(A00) A01 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: gmres</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
happy breakdown tolerance 1e-30</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using PRECONDITIONED norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: lu</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
out-of-place factorization</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerance for zero pivot 2.22045e-14</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
matrix ordering: nd</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
factor fill ratio given 5., needed 5.09173</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Factored matrix follows:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
package used to perform factorization: petsc</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=1360836, allocated nonzeros=1360836</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix followed by preconditioner matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: schurcomplement</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Schur complement A11 - A10 inv(A00) A01</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
A11</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=267264, allocated nonzeros=267264</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
A10</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=73728, allocated nonzeros=73728</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP of A00</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
KSP Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: preonly</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
maximum iterations=10000, initial guess is zero</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
left preconditioning</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using NONE norm type for convergence test</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
PC Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: lu</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
out-of-place factorization</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
tolerance for zero pivot 2.22045e-14</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
matrix ordering: nd</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
factor fill ratio given 5., needed 1.</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Factored matrix follows:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
package used to perform factorization: petsc</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix = precond matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=6144</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=18432, allocated nonzeros=18432</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
A01</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=6144, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=73728, allocated nonzeros=73728</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 2048 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_fieldsplit_1_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: seqaij</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=15360, cols=15360</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total: nonzeros=267264, allocated nonzeros=267264</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
total number of mallocs used during MatSetValues calls =0</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
using I-node routines: found 5120 nodes, limit used is 5</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
linear system matrix followed by preconditioner matrix:</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: nest</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=21504, cols=21504</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Matrix object: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type=nest, rows=2, cols=2 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
MatNest structure: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,0) : type=seqaij, rows=15360, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,1) : type=seqaij, rows=15360, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,0) : type=seqaij, rows=6144, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,1) : type=seqaij, rows=6144, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Mat Object: (firedrake_0_) 1 MPI processes</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type: nest</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
rows=21504, cols=21504</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
Matrix object: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
type=nest, rows=2, cols=2 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
MatNest structure: </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,0) : prefix="firedrake_0_fieldsplit_1_", type=seqaij, rows=15360, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(0,1) : type=seqaij, rows=15360, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,0) : type=seqaij, rows=6144, cols=15360 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
(1,1) : prefix="firedrake_0_fieldsplit_0_", type=seqaij, rows=6144, cols=6144 </div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<br>
</div>
<br style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<p style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
</p>
<br>
<p></p>
</div>
</div>
</div>
</blockquote>
</div>
</div>
</body>
</html>