<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div><br></div> It would have been best to send <span style="background-color: rgb(245, 245, 245); font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">formfunctions.cpp</span><span style="background-color: rgb(245, 245, 245); font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span> since that is where the problem is. Likely you have a local variable (hence the message "stack-allocation") in that function that is not initialized but that you use to fill up the function array values.<div><div><br></div><div> Valgrind does not detect all uses of unitialized memory, it only detects them when they would change a flow direction in the code, like in an if () test. This is why the problem pops up in the VecNorm() and not if you just call your function from main(). There are compiler options to detect the use of used declared variables that are not initialized which might help you find the problem at compile time.</div><div><br></div><div> Barry</div><div><br></div><div><div><br><blockquote type="cite"><div>On May 9, 2023, at 10:59 PM, Tu, Jiannan <Jiannan_Tu@uml.edu> wrote:</div><br class="Apple-interchange-newline"><div><meta charset="UTF-8"><div class="WordSection1" style="page: WordSection1; caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;"><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="">I am using PETSC SNES to solve a nonlinear equation system resulted from discretization of partial differential equations. When I use Valgrind to check my program, there are lots of errors of ‘Unconditional jump or move depends on uninitialised value(s)’ produced. The errors occur in the function routine set by<span class="Apple-converted-space"> </span></span><b><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(170, 55, 49);">SNESSetFunction</span></b><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(119, 119, 119);">(</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(122, 62, 157);">snes</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(119, 119, 119);">,</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);"><span class="Apple-converted-space"> </span></span><b><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(170, 55, 49);">NULL</span></b><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(119, 119, 119);">,</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);"><span class="Apple-converted-space"> </span></span><b><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(170, 55, 49);">formfunctions</span></b><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(119, 119, 119);">,</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);"><span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(119, 119, 119);">&</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(122, 62, 157);">params</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(119, 119, 119);">).<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas;">Even using only one MPI process such errors occur. It seems solution vector X is not initialized through SNESSolve(). But<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(119, 119, 119);">if the<span class="Apple-converted-space"> </span></span><b><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(170, 55, 49);">formfunctions()</span></b><span style="font-size: 10.5pt; font-family: Consolas;"><span class="Apple-converted-space"> </span>is called directly from main(), there are no errors. I really don’t understand why. Could you please help me identify what is going wrong?<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;">Thank you very much,</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;">Jiannan</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;">-------------------------------------------------</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;">The error message is like the following example</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">Conditional jump or move depends on uninitialised value(s)<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== at<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">0xA19178C</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">: sqrt (</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">w_sqrt_compat.c</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">31</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">)<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== by<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">0x4EA9E4C</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">: VecNorm_Seq (</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">bvec2.c</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">227</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">)<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== by<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">0x4F705C8</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">: VecNorm (</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">rvector.c</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">228</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">)<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== by<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">0x65D5B16</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">: SNESSolve_NEWTONLS (</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">ls.c</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">179</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">)<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== by<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">0x673093F</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">: SNESSolve (</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">snes.c</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">4809</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">)<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== by<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">0x12F607</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">: main (</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">iditm3d.cpp</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">138</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">)<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== Uninitialised value was created by a stack allocation<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">==</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">866758</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">== at<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">0x11AC36</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">: functions(Field***, Field***, Field***, int, int, int, int, int, int, AppCtx*, Field***) (</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">formfunctions.cpp</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">:</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(156, 93, 39);">16</span><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">)<o:p></o:p></span></div></div></div></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas; color: rgb(51, 51, 51);">functions() is called within the<span class="Apple-converted-space"> </span></span><span style="font-size: 10.5pt; font-family: Consolas;">formfunctions(). The code snippet using SNES solver is</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> int formfunctions(SNES, Vec, Vec, void *ctx);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> int jacobian(SNES, Vec, Mat, Mat, void *ctx);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMDACreate3d(MPI_COMM_WORLD,DM_BOUNDARY_GHOSTED,DM_BOUNDARY_GHOSTED,DM_BOUNDARY_PERIODIC,</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMDA_STENCIL_STAR,a1,a2,a3,PETSC_DECIDE,PETSC_DECIDE,1,a4,2,NULL,NULL,NULL,&da);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMSetFromOptions(da);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMSetUp(da);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMCreateGlobalVector(da, &X);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> VecDuplicate(X, ¶ms.U);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> VecDuplicate(X, ¶ms.Xn);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> /* set up grids and related geometric parameters. Set up initial solution vector X */</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> if (initialize(da, X, ¶ms) < 0) exit(-1);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNES snes;</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNESCreate(MPI_COMM_WORLD, &snes);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNESSetType(snes, SNESNEWTONLS);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNESSetFromOptions(snes);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNESSetDM(snes, da);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNESSetFunction(snes, NULL, formfunctions, ¶ms);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> KSP ksp;</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNESGetKSP(snes, &ksp);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> KSPSetType(ksp, KSPFGMRES);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> KSPSetFromOptions(ksp);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> PC pc;</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> KSPGetPC(ksp, &pc);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> PCSetType(pc, PCJACOBI);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> PCSetFromOptions(pc);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> Mat A;</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMSetMatrixPreallocateOnly(da, PETSC_FALSE);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMSetMatType(da, MATMPIAIJ);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMDASetBlockFills(da, dfill, ofill);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> DMCreateMatrix(da, &A);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span style="font-size: 10.5pt; font-family: Consolas;"> SNESSetJacobian(snes, A, A, jacobian, ¶ms);</span><span style="font-size: 10.5pt; font-family: Consolas;"><o:p></o:p></span></div></div></div></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> SNESSetSolution(snes, X); //set initial guess of the solution<o:p></o:p></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> SNESSolve(snes, PETSC_NULL, X); //iterative solver to find the solution<o:p></o:p></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; border: medium; padding: 0in;"><b>From:<span class="Apple-converted-space"> </span></b><a href="mailto:hongzhang@anl.gov" style="color: purple; text-decoration: underline;">Zhang, Hong</a><br><b>Sent:<span class="Apple-converted-space"> </span></b>Tuesday, February 21, 2023 11:21 PM<br><b>To:<span class="Apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;">Tu, Jiannan</a><br><b>Cc:<span class="Apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" style="color: purple; text-decoration: underline;">Barry Smith</a>;<span class="Apple-converted-space"> </span><a href="mailto:hong.zhang@aspiritech.org" style="color: purple; text-decoration: underline;">Hong Zhang</a>;<span class="Apple-converted-space"> </span><a href="mailto:emconsta@anl.gov" style="color: purple; text-decoration: underline;">Constantinescu, Emil M.</a>;<span class="Apple-converted-space"> </span><a href="mailto:petsc-users@mcs.anl.gov" style="color: purple; text-decoration: underline;">petsc-users</a><br><b>Subject:<span class="Apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected</div></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div><div style="border: 1pt hidden rgb(255, 202, 202); padding: 2pt;"><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span style="font-size: 12pt;"><span class="Apple-converted-space"> </span>This email was sent from outside the UMass Lowell network.<o:p></o:p></span></div></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><o:p></o:p></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Feb 21, 2023, at 8:54 PM, Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;">Jiannan_Tu@uml.edu</a>> wrote:<o:p></o:p></div></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">CN or BEular doesn’t work. They produce negative densities at the lower boundary even RHS functions are positive. So for TS, all equations must include udot?<o:p></o:p></div></div></div></blockquote><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">You have algebraic constraints only for the boundary points. For all the other points, you must have udot in IFunction. I recommend you to take a look at the example src/ts/tutorials/ex25.c <o:p></o:p></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><o:p> </o:p></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Hong (Mr.)<o:p></o:p></div></div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><o:p></o:p></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thank you,<o:p></o:p></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Jiannan<o:p></o:p></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b>From:<span class="apple-converted-space"> </span></b><a href="mailto:hongzhang@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: purple;">Zhang, Hong</span></a><br><b>Sent:<span class="apple-converted-space"> </span></b>Monday, February 20, 2023 11:07 AM<br><b>To:<span class="apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;"><span style="color: purple;">Tu, Jiannan</span></a><br><b>Cc:<span class="apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" style="color: purple; text-decoration: underline;"><span style="color: purple;">Barry Smith</span></a>;<span class="apple-converted-space"> </span><a href="mailto:hong.zhang@aspiritech.org" style="color: purple; text-decoration: underline;"><span style="color: purple;">Hong Zhang</span></a>;<span class="apple-converted-space"> </span><a href="mailto:emconsta@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: purple;">Constantinescu, Emil M.</span></a>;<span class="apple-converted-space"> </span><a href="mailto:petsc-users@mcs.anl.gov" style="color: purple; text-decoration: underline;"><span style="color: purple;">petsc-users</span></a><br><b>Subject:<span class="apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected<o:p></o:p></div></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span class="apple-converted-space"><span style="font-size: 12pt;"> </span></span><span style="font-size: 12pt;">This email was sent from outside the UMass Lowell network.</span><o:p></o:p></div></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">If you have to include the boundary points, I would suggest starting from a fully implicit solver such as CN or BEuler with a finite-difference approximated Jacobian. When this works for a small scale setting, you can build up more functionalities such as IMEX and analytical Jacobians and extend the problem to a larger scale. But the udot issue needs to be fixed in the first place.<o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Hong (Mr.) <o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><o:p></o:p></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Feb 19, 2023, at 9:23 PM, Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;">Jiannan_Tu@uml.edu</a>> wrote:<o:p></o:p></div></div></div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">It is the second order derivative of, say electron temperature = 0 at the boundary.<o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">I am not sure how I can exclude the boundary points because the values of unknowns must be specified at the boundary. Are there any other solvers, e.g., CN, good to solve the equation system?<o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thank you,<o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Jiannan<o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b>From:<span class="apple-converted-space"> </span></b><a href="mailto:hongzhang@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Zhang, Hong</span></a><br><b>Sent:<span class="apple-converted-space"> </span></b>Sunday, February 19, 2023 4:48 PM<br><b>To:<span class="apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Tu, Jiannan</span></a><br><b>Cc:<span class="apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Barry Smith</span></a>;<span class="apple-converted-space"> </span><a href="mailto:hong.zhang@aspiritech.org" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Hong Zhang</span></a>;<span class="apple-converted-space"> </span><a href="mailto:emconsta@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Constantinescu, Emil M.</span></a>;<span class="apple-converted-space"> </span><a href="mailto:petsc-users@mcs.anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">petsc-users</span></a><br><b>Subject:<span class="apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected<o:p></o:p></div></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span class="apple-converted-space"><span style="font-size: 12pt;"> </span></span><span style="font-size: 12pt;">This email was sent from outside the UMass Lowell network.</span><o:p></o:p></div></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">It is fine to drop udot for the boundary points, but you need to keep udot for all the other points.<o:p></o:p></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">In addition, which boundary condition do you use in IFunction? The way you are treating the boundary points actually leads to a system of differential-algebraic equations, which could be difficult to solve with the ARKIMEX solver. Can you try to exclude the boundary points from the computational domain so that you will have just a system of ODEs? <o:p></o:p></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Hong (Mr.)<o:p></o:p></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><br><o:p></o:p></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Feb 18, 2023, at 4:28 PM, Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;">Jiannan_Tu@uml.edu</a>> wrote:<o:p></o:p></div></div></div></div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thanks for the instruction. This is the boundary condition and there is no udot in the equation. I think this is the way to define IFunction at the boundary. Maybe I’m wrong? Or is there some way to introduce udot into the specification of the equation at the boundary from the aspect of the implementation for TS?<o:p></o:p></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thank you,<o:p></o:p></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Jiannan<o:p></o:p></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b>From:<span class="apple-converted-space"> </span></b><a href="mailto:hongzhang@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Zhang, Hong</span></a><br><b>Sent:<span class="apple-converted-space"> </span></b>Saturday, February 18, 2023 12:40 PM<br><b>To:<span class="apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Tu, Jiannan</span></a><br><b>Cc:<span class="apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Barry Smith</span></a>;<span class="apple-converted-space"> </span><a href="mailto:hong.zhang@aspiritech.org" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Hong Zhang</span></a>;<span class="apple-converted-space"> </span><a href="mailto:emconsta@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Constantinescu, Emil M.</span></a>;<span class="apple-converted-space"> </span><a href="mailto:petsc-users@mcs.anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">petsc-users</span></a><br><b>Subject:<span class="apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected<o:p></o:p></div></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" align="left" width="100%" style="width: 739px;"><tbody><tr><td style="background: rgb(166, 166, 166); padding: 5.25pt 1.5pt;"></td><td width="100%" style="width: 705px; background: rgb(234, 234, 234); padding: 5.25pt 3.75pt 5.25pt 11.25pt;"><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><span style="font-size: 9pt; font-family: "Segoe UI", sans-serif; color: rgb(33, 33, 33);">You don't often get email from<span class="apple-converted-space"> </span><a href="mailto:hongzhang@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">hongzhang@anl.gov</span></a>.<span class="apple-converted-space"> </span><a href="https://aka.ms/LearnAboutSenderIdentification" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Learn why this is important</span></a></span><o:p></o:p></div></div></div></div></div></td><td width="75" style="width: 56.25pt; background: rgb(234, 234, 234); padding: 5.25pt 3.75pt;"></td></tr></tbody></table><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span class="apple-converted-space"><span style="font-size: 12pt;"> </span></span><span style="font-size: 12pt;">This email was sent from outside the UMass Lowell network.</span><o:p></o:p></div></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><br><br><o:p></o:p></div></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Feb 18, 2023, at 8:44 AM, Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;">Jiannan_Tu@uml.edu</a>> wrote:<o:p></o:p></div></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">The RHS function at the bottom boundary is determined by the boundary condition, which is the second order derivative = 0, i.e. G(u) = 2*X[i=1] – X[i=2]. Then in IFunction,<span class="apple-converted-space"> </span><span style="color: rgb(255, 38, 0);">F(u, udot) = X[i=0].</span><o:p></o:p></div></div></div></div></div></div></blockquote><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">This might be the problem. Your F(u, udot) is missing udot according to your description. Take a simple ODE udot = f(u) + g(u) for example. One way to partition this ODE is to define F = udot - f(u) as the IFunction and G = g(u) as the RHSFunction.<o:p></o:p></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Hong (Mr.)<o:p></o:p></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><br><br><o:p></o:p></div></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thank you,<o:p></o:p></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Jiannan<o:p></o:p></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b>From:<span class="apple-converted-space"> </span></b><a href="mailto:hongzhang@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Zhang, Hong</span></a><br><b>Sent:<span class="apple-converted-space"> </span></b>Friday, February 17, 2023 11:54 PM<br><b>To:<span class="apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Tu, Jiannan</span></a><br><b>Cc:<span class="apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Barry Smith</span></a>;<span class="apple-converted-space"> </span><a href="mailto:hong.zhang@aspiritech.org" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Hong Zhang</span></a>;<span class="apple-converted-space"> </span><a href="mailto:emconsta@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Constantinescu, Emil M.</span></a>;<span class="apple-converted-space"> </span><a href="mailto:petsc-users@mcs.anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">petsc-users</span></a><br><b>Subject:<span class="apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" align="left" width="100%" style="width: 659px;"><tbody><tr><td style="background: rgb(166, 166, 166); padding: 5.25pt 1.5pt;"></td><td width="100%" style="width: 625px; background: rgb(234, 234, 234); padding: 5.25pt 3.75pt 5.25pt 11.25pt;"><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><span style="font-size: 9pt; font-family: "Segoe UI", sans-serif; color: rgb(33, 33, 33);">You don't often get email from<span class="apple-converted-space"> </span><a href="mailto:hongzhang@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">hongzhang@anl.gov</span></a>.<span class="apple-converted-space"> </span><a href="https://aka.ms/LearnAboutSenderIdentification" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Learn why this is important</span></a></span><o:p></o:p></div></div></div></div></div></div></td><td width="75" style="width: 56.25pt; background: rgb(234, 234, 234); padding: 5.25pt 3.75pt;"></td></tr></tbody></table><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span class="apple-converted-space"><span style="font-size: 12pt;"> </span></span><span style="font-size: 12pt;">This email was sent from outside the UMass Lowell network.</span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><br><br><br><o:p></o:p></div></div></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Feb 17, 2023, at 6:19 PM, Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;">Jiannan_Tu@uml.edu</a>> wrote:<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">I need to find out what causes negative temperature first. Following is the message with adaptivity turned off. The G(u) gives right-hand equation for electron temperature at bottom boundary. The F(u, u’) function is F(u, u’) = X = G(u) and the jacobian element is d F(u, u’) / dX =1.<o:p></o:p></div></div></div></div></div></div></div></blockquote><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">This looks strange. Can you elaborate a bit on your partitioned ODE? For example, how are your F(u,udot) (IFunction) and G(u) (RHSFunction) defined?<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">A good IMEX example can be found at ts/tutorial/advection-diffusion-reaction/ex5.c (and reaction_diffusion.c).<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Hong (Mr.)<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><br><br><br><o:p></o:p></div></div></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">The solution from TSStep is checked for positivity of densities and temperatures.<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">From the message below, it is seen that G(u) > 0 (I added output of right-hand equation for electron temperature). The solution for electron temperature X should be X * jacobian element = G(u) > 0 since jacobian element = 1. I don’t understand why it becomes negative. Is my understanding of TS formula incorrect?<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thank you,<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Jiannan<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">----------------------------------<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">G(u) = 1.86534e-07<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072183e+03<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 8.641749325070e-04<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">G(u) = 1.86534e-07<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 8.716501970511e-02<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.213263548813e-04<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 2 SNES Function norm 2.779985176426e-08<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">G(u) = 1.86534e-07<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.177195995186e-01<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 3.607702491344e-04<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 2 SNES Function norm 4.345809629121e-08<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">G(u) = 1.86534e-07<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt none arkimex 0:3 step 0 accepted t=42960 + 2.189e-02 dt=2.189e-02<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">electron temperature = -3.6757e-15 at (i, j, k) = (0, 1, 0)<o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b> </b><o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b>From:<span class="apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Barry Smith</span></a><br><b>Sent:<span class="apple-converted-space"> </span></b>Friday, February 17, 2023 3:45 PM<br><b>To:<span class="apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Tu, Jiannan</span></a>;<span class="apple-converted-space"> </span><a href="mailto:hong.zhang@aspiritech.org" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Hong Zhang</span></a>;<span class="apple-converted-space"> </span><a href="mailto:emconsta@anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Emil Constantinescu</span></a><br><b>Cc:<span class="apple-converted-space"> </span></b><a href="mailto:petsc-users@mcs.anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">petsc-users</span></a><br><b>Subject:<span class="apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span class="apple-converted-space"><span style="font-size: 12pt;"> </span></span><span style="font-size: 12pt;">This email was sent from outside the UMass Lowell network.</span><o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><br><br><br><br><o:p></o:p></div></div></div></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Feb 17, 2023, at 3:32 PM, Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;">Jiannan_Tu@uml.edu</a>> wrote:<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">The ts_type arkimex is used. There is right hand-side function RHSFunction set by TSSetRHSFunction() and also stiff function set by TSSetIFunction().<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">With adaptivity shut off, TS can finish its first time step after the 3rd “Nonlinear solve converged due to …”. The solution gives negative electron and neutral temperatures at the bottom boundary. I need to fix the negative temperatures and see how the code works.<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">BTW, what is this ts_adapt? Is it by default on?<o:p></o:p></div></div></div></div></div></div></div></div></blockquote><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> It is default for some of the TSTypes (in particular, the better ones). It adapts the timestep to ensure some local error estimate is below a certain tolerance. As Matt notes normally as it tries smaller and smaller time steps the local error estimate would get smaller and smaller; this is not happening here, hence the error.<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Have you tried with the argument -ts_arkimex_fully_implicit ?<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> I am not an expert but my guess is something is "odd" about your functions, either the RHSFunction or the Function or both. Do you have a hierarchy of models for your problem? Could you try runs with fewer terms in your functions, that may be producing the difficulties? If you can determine what triggers the problem with the local error estimators, that might help the experts in ODE solution (not me) determine what could be going wrong.<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Barry<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br><br><br><br><br><br><br><o:p></o:p></div></div></div></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thank you,<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Jiannan<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b>From:<span class="apple-converted-space"> </span></b><a href="mailto:knepley@gmail.com" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Matthew Knepley</span></a><br><b>Sent:<span class="apple-converted-space"> </span></b>Friday, February 17, 2023 3:15 PM<br><b>To:<span class="apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Tu, Jiannan</span></a><br><b>Cc:<span class="apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Barry Smith</span></a>;<span class="apple-converted-space"> </span><a href="mailto:petsc-users@mcs.anl.gov" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">petsc-users</span></a><br><b>Subject:<span class="apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected<o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span class="apple-converted-space"><span style="font-size: 12pt;"> </span></span><span style="font-size: 12pt;">This email was sent from outside the UMass Lowell network.</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">I am not sure what TS you are using, but the estimate of the local truncation error is 91.4, and does not seem<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">to change when you make the step smaller, so something is off. You can shut off the adaptivity using<o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> -ts_adapt_type none<o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Thanks,<o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Matt<o:p></o:p></div></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Fri, Feb 17, 2023 at 3:01 PM Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Jiannan_Tu@uml.edu</span></a>> wrote:<o:p></o:p></div></div></div></div></div></div></div></div><blockquote style="border-width: medium medium medium 1pt; border-style: none none none solid; border-color: currentcolor currentcolor currentcolor rgb(204, 204, 204); border-image: none; padding: 0in 0in 0in 6pt; margin: 5pt 0in 5pt 4.8pt;"><div><div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">These are what I got with the options you suggested.<o:p></o:p></div></div></div></div></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Thank you,<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">Jiannan<o:p></o:p></div></div></div></div></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">-------------------------------------------------------------------------------<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.673091274668e-03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 8.715428433630e-02<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 4.995727626692e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 2 SNES Function norm 5.498018152230e-08<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.237461568254e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 7.988531005091e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 2 SNES Function norm 1.280948196292e-07<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 2.189e-02 dt=4.374e-03 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 4.881903203545e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 7.562592690785e-02<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.143078818923e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 2 SNES Function norm 9.834547907735e-09<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.683968949758e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.838028436639e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 2 SNES Function norm 9.470813523140e-09<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-03 dt=4.374e-04 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.821562431175e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 1.005443458812e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 3.633336946661e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 1.515368382715e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 3.389298316830e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-04 dt=4.374e-05 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 4.541003359206e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 1.713800906043e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.179958172167e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.020265094117e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.513971290464e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-05 dt=4.374e-06 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 6.090269704320e-06<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.136603895703e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.877474016012e-06<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.127812462507e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.713146825704e-06<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-06 dt=4.374e-07 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.793512213059e-06<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.205196267430e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.572653773308e-06<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.260057361977e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.705816087598e-06<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-07 dt=4.374e-08 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.764855860446e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.212505522844e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.958996472386e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.273222034162e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.994512887620e-05<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-08 dt=4.374e-09 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072186e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 3.317240589134e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.213246532918e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.799468604767e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.274570888397e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 3.066048050994e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-09 dt=4.374e-10 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072189e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.653507278572e-03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.213869585841e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.177156902895e-03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.275136370365e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.962849131557e-03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-10 dt=4.374e-11 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473072218e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 5.664907315679e-03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.223208399368e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 5.688863091415e-03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.287121218919e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 4.085338521320e-03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-11 dt=4.374e-12 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.274473071968e+03<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 4.694691905235e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 2.211786508657e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 1.503497433939e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 0 SNES Function norm 3.272667798977e-01<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> 1 SNES Function norm 2.176132327279e-04<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> TSAdapt basic arkimex 0:3 step 0 rejected t=42960 + 4.374e-12 dt=4.374e-13 wlte= 91.4 wltea= -1 wlter= -1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: --------------------- Error Message --------------------------------------------------------------<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: <o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: TSStep has failed due to DIVERGED_STEP_REJECTED<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: See<span class="apple-converted-space"> </span><a href="https://petsc.org/release/faq/" target="_blank" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">https://petsc.org/release/faq/</span></a><span class="apple-converted-space"> </span>for trouble shooting.<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: Petsc Release Version 3.16.6, Mar 30, 2022<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: ./iditm3d on a named office by jtu Fri Feb 17 14:54:22 2023<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: Configure options --prefix=/usr/local --with-mpi-dir=/usr/local --with-fc=0 --with-openmp --with-hdf5-dir=/usr/local --download-f2cblaslapack=1<o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">[0]PETSC ERROR: #1 TSStep() at /home/jtu/Downloads/petsc-3.16.6/src/ts/interface/ts.c:3583<o:p></o:p></div></div></div></div></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(225, 225, 225) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><b>From:<span class="apple-converted-space"> </span></b><a href="mailto:bsmith@petsc.dev" target="_blank" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Barry Smith</span></a><br><b>Sent:<span class="apple-converted-space"> </span></b>Friday, February 17, 2023 12:58 PM<br><b>To:<span class="apple-converted-space"> </span></b><a href="mailto:Jiannan_Tu@uml.edu" target="_blank" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Tu, Jiannan</span></a><br><b>Cc:<span class="apple-converted-space"> </span></b><a href="mailto:petsc-users@mcs.anl.gov" target="_blank" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">petsc-users</span></a><br><b>Subject:<span class="apple-converted-space"> </span></b>Re: [petsc-users] TS failed due to diverged_step_rejected<o:p></o:p></div></div></div></div></div></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 16pt; background: rgb(255, 202, 202);"><b><span style="font-size: 12pt;">CAUTION:</span></b><span class="apple-converted-space"><span style="font-size: 12pt;"> </span></span><span style="font-size: 12pt;">This email was sent from outside the UMass Lowell network.</span><o:p></o:p></div></div></div></div></div></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> Can you please run with also the options -ts_monitor -ts_adapt_monitor ?<o:p></o:p></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> The output is confusing because it prints that the Nonlinear solve has converged but then <span style="font-size: 12pt; background: white;">TSStep has failed due to DIVERGED_STEP_REJECTED which seems contradictory</span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><div><div style="margin-bottom: 12pt;"><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div><blockquote style="margin-top: 5pt; margin-bottom: 5pt;"><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">On Feb 17, 2023, at 12:09 PM, Tu, Jiannan <<a href="mailto:Jiannan_Tu@uml.edu" target="_blank" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">Jiannan_Tu@uml.edu</span></a>> wrote:<o:p></o:p></div></div></div></div></div></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">My code uses TS to solve a set of multi-fluid MHD equations. The jacobian is provided with function F(t, u, u'). Both linear and nonlinear solvers converge but snes repeats itself until gets "TSStep has failed due to diverged_step_rejected."<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">Is it because I used TSStep rather than TSSolve? I have checked the condition number. The condition number with pc_type asm is about 1 (without precondition it is about 4x10^4). The maximum ratio of off-diagonal jacobian element over diagonal element is about 21.</span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">Could you help me to identify what is going wrong?</span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">Thank you very much!</span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">Jiannan</span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">---------------------------------------------------------------------------------------------------</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">Run command with options</span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span class="m-5136506635804366231contentpasted1"><span style="font-size: 10.5pt; font-family: "Courier New"; color: rgb(51, 51, 51);">mpiexec -n</span></span><span class="m-5136506635804366231apple-converted-space"><span style="font-size: 10.5pt; font-family: "Courier New"; color: rgb(51, 51, 51);"> </span></span><span class="m-5136506635804366231contentpasted1"><span style="font-size: 10.5pt; font-family: "Courier New"; color: rgb(119, 119, 119);">$</span></span><span class="m-5136506635804366231contentpasted1"><span style="font-size: 10.5pt; font-family: "Courier New"; color: rgb(122, 62, 157);">1</span></span><span class="m-5136506635804366231contentpasted1"><span style="font-size: 10.5pt; font-family: "Courier New"; color: rgb(51, 51, 51);"> ./iditm3d -ts_type arkimex -snes_tyep ngmres -ksp_type gmres -pc_type asm \</span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span class="m-5136506635804366231contentpasted1"><span style="font-size: 10.5pt; font-family: "Courier New"; color: rgb(51, 51, 51);">-ts_rtol 1.0e-4 -ts_atol 1.0e-4 -snes_monitor -snes_rtol 1.0e-4 -snes_atol 1.0e-4 \</span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 14.25pt; background: whitesmoke;"><span class="m-5136506635804366231contentpasted1"><span style="font-size: 10.5pt; font-family: "Courier New"; color: rgb(51, 51, 51);">-snes_converged_reason</span></span><o:p></o:p></div></div></div></div></div></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">The output message is </span><o:p></o:p></div></div></div></div></div></div></div></div><div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> </span></p></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">Start time advancing ...<span class="apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.673091274668e-03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 8.715428433630e-02<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 4.995727626692e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 2 SNES Function norm 5.498018152230e-08<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.237461568254e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 7.988531005091e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 2 SNES Function norm 1.280948196292e-07<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 4.881903203545e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 7.562592690785e-02<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.143078818923e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 2 SNES Function norm 9.834547907735e-09<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.683968949758e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.838028436639e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 2 SNES Function norm 9.470813523140e-09<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 2</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.821562431175e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 1.005443458812e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 3.633336946661e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 1.515368382715e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 3.389298316830e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 4.541003359206e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 1.713800906043e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.179958172167e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.020265094117e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.513971290464e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 6.090269704320e-06<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.136603895703e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.877474016012e-06<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.127812462507e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.713146825704e-06<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.793512213059e-06<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.205196267430e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.572653773308e-06<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.260057361977e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.705816087598e-06<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.764855860446e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.212505522844e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.958996472386e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.273222034162e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.994512887620e-05<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072186e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 3.317240589134e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.213246532918e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.799468604767e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.274570888397e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 3.066048050994e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072189e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.653507278572e-03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.213869585841e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.177156902895e-03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.275136370365e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.962849131557e-03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473072218e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 5.664907315679e-03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.223208399368e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 5.688863091415e-03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.287121218919e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 4.085338521320e-03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.274473071968e+03<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 4.694691905235e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 2.211786508657e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 1.503497433939e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 0 SNES Function norm 3.272667798977e-01<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> 1 SNES Function norm 2.176132327279e-04<span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;"> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: --------------------- Error Message --------------------------------------------------------------</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: <span class="m-5136506635804366231apple-converted-space"> </span></span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: TSStep has failed due to DIVERGED_STEP_REJECTED</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: See<span class="m-5136506635804366231apple-converted-space"> </span><a href="https://petsc.org/release/faq/" target="_blank" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">https://petsc.org/release/faq/</span></a><span class="m-5136506635804366231apple-converted-space"> </span>for trouble shooting.</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: Petsc Release Version 3.16.6, Mar 30, 2022</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: ./iditm3d on a named office by jtu Fri Feb 17 11:59:43 2023</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: Configure options --prefix=/usr/local --with-mpi-dir=/usr/local --with-fc=0 --with-openmp --with-hdf5-dir=/usr/local --download-f2cblaslapack=1</span><o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif; background: white;"><span style="font-size: 12pt;">[0]PETSC ERROR: #1 TSStep() at /home/jtu/Downloads/petsc-3.16.6/src/ts/interface/ts.c:3583</span><o:p></o:p></div></div></div></div></div></div></div></div></div></div></blockquote></div></div></div><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p><p class="MsoNormal" style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> </p></div></div></div></blockquote></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><br clear="all"><o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">--<span class="apple-converted-space"> </span><o:p></o:p></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;">What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener<o:p></o:p></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"> <o:p></o:p></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div><div><div><div><div><div><div><div style="margin: 0in; font-size: 11pt; font-family: Calibri, sans-serif;"><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank" style="color: purple; text-decoration: underline;"><span style="color: rgb(149, 79, 114);">https://www.cse.buffalo.edu/~knepley/</span></a></div></div></div></div></div></div></div></div></blockquote></div></div></div></blockquote></div></div></div></div></blockquote></div></div></div></div></blockquote></div></div></div></div></blockquote></div></div></div></blockquote></div></div></div></div></blockquote></div><br></div></div></body></html>