<div dir="ltr"><br><br><div class="gmail_quote"><div dir="ltr">On Sun, Oct 28, 2018 at 1:17 PM Manav Bhatia <<a href="mailto:bhatiamanav@gmail.com">bhatiamanav@gmail.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div style="word-wrap:break-word;line-break:after-white-space">Hi, <div><br></div><div>   I am attempting to solve a Mindlin plate bending problem with AMG solver in petsc. This test case is with a mesh of 300x300 elements and 543,606 dofs. </div><div><br></div><div>   The discretization includes 6 variables (u, v, w, tx, ty, tz), but only three are relevant for plate bending (w, tx, ty). </div><div><br></div><div>   I am calling the solver with the following options: </div><div><br></div><div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)">-pc_type gamg -pc_gamg_threshold 0. --node-major-dofs -mat_block_size 6 -ksp_rtol 1.e-8 <span style="font-variant-ligatures:no-common-ligatures">-ksp_monitor -ksp_converged_reason </span>-ksp_view </div></div><div><br></div><div>  And the convergence behavior is shown below, along with the ksp_view information. Based on notes in the manual, this seems to be subpar convergence rate. At the end of the solution the norm of each variable is : </div><div><br></div><div><div style="margin:0px;font-stretch:normal;line-height:normal;font-family:"Helvetica Neue"">var: 0: u  : norm: 5.505909e-18</div><div style="margin:0px;font-stretch:normal;line-height:normal;font-family:"Helvetica Neue"">var: 1: v  : norm: 7.639640e-18</div><div style="margin:0px;font-stretch:normal;line-height:normal;font-family:"Helvetica Neue"">var: 2: w : norm: 3.901464e-03</div><div style="margin:0px;font-stretch:normal;line-height:normal;font-family:"Helvetica Neue"">var: 3: tx : norm: 4.403576e-02</div><div style="margin:0px;font-stretch:normal;line-height:normal;font-family:"Helvetica Neue"">var: 4: ty : norm: 4.403576e-02</div><div style="margin:0px;font-stretch:normal;line-height:normal;font-family:"Helvetica Neue"">var: 5: tz : norm: 1.148409e-16</div></div></div></blockquote><div><br></div><div>So your u,v,tz are inactive? I assume that this looks ok to you.</div><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div style="word-wrap:break-word;line-break:after-white-space"><div><br></div><div>  I tried different values of -ksp_rtol from 1e-1 to 1e-8 and this does not make a lot of difference in the norms of (w, tx, ty). </div><div> </div><div>  I do provide the solver with 6 rigid-body vectors to approximate the null-space of the problem. Without these the solver shows very poor convergence. </div></div></blockquote><div><br></div><div>So the RBMs helped, that tells me that you did hook it in correctly.</div><div><br></div><div>Shells are hard and I don't know what your test case is, so I'm not sure how bad this is. I can recommend using:</div><div><br></div><div>





<p class="gmail-p1" style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">-mg_levels_esteig_ksp_type cg</p><br>This will give better eigen estimates for symmetric problems. You want to coarsen slowly for plates. Start with:<br><br>-pc_gamg_square_graph 0<br><br></div><div> Mark</div><div><br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div style="word-wrap:break-word;line-break:after-white-space"><div><br></div><div>  I would appreciate advice on possible strategies to improve this behavior. </div><div><br></div><div>Thanks,</div><div>Manav </div><div><br>

<div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    0 KSP Residual norm 1.696304497261e+00 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    1 KSP Residual norm 1.120485505777e+00 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    2 KSP Residual norm 8.324222302402e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    3 KSP Residual norm 6.477349534115e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    4 KSP Residual norm 5.080936471292e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    5 KSP Residual norm 4.051099646638e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    6 KSP Residual norm 3.260432664653e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    7 KSP Residual norm 2.560483838143e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    8 KSP Residual norm 2.029943986124e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    9 KSP Residual norm 1.560985741610e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   10 KSP Residual norm 1.163720702140e-01 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   11 KSP Residual norm 8.488411085459e-02 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   12 KSP Residual norm 5.888041729034e-02 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   13 KSP Residual norm 4.027792209980e-02 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   14 KSP Residual norm 2.819048087304e-02 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   15 KSP Residual norm 1.904674196962e-02 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   16 KSP Residual norm 1.289302447822e-02 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   17 KSP Residual norm 9.162203296376e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   18 KSP Residual norm 7.016781679507e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   19 KSP Residual norm 5.399170865328e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   20 KSP Residual norm 4.254385887482e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   21 KSP Residual norm 3.530831740621e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   22 KSP Residual norm 2.946780747923e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   23 KSP Residual norm 2.339361361128e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   24 KSP Residual norm 1.815072489282e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   25 KSP Residual norm 1.408814185342e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   26 KSP Residual norm 1.063795714320e-03 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   27 KSP Residual norm 7.828540233117e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   28 KSP Residual norm 5.683910750067e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   29 KSP Residual norm 4.131151010250e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   30 KSP Residual norm 3.065608221019e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   31 KSP Residual norm 2.634114273459e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   32 KSP Residual norm 2.198180137626e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   33 KSP Residual norm 1.748956510799e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   34 KSP Residual norm 1.317539710010e-04 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   35 KSP Residual norm 9.790121566055e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   36 KSP Residual norm 7.465935386094e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   37 KSP Residual norm 5.689506626052e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   38 KSP Residual norm 4.413136619126e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   39 KSP Residual norm 3.512194236402e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   40 KSP Residual norm 2.877755408287e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   41 KSP Residual norm 2.340080556431e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   42 KSP Residual norm 1.904544450345e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   43 KSP Residual norm 1.504723478235e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   44 KSP Residual norm 1.141381950576e-05 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   45 KSP Residual norm 8.206151384599e-06 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   46 KSP Residual norm 5.911426091276e-06 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   47 KSP Residual norm 4.233669089283e-06 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   48 KSP Residual norm 2.898052944223e-06 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   49 KSP Residual norm 2.023556779973e-06 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   50 KSP Residual norm 1.459108043935e-06 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   51 KSP Residual norm 1.097335545865e-06 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   52 KSP Residual norm 8.440457332262e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   53 KSP Residual norm 6.705616854004e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   54 KSP Residual norm 5.404888680234e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   55 KSP Residual norm 4.391368084979e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   56 KSP Residual norm 3.697063014621e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   57 KSP Residual norm 3.021772094146e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   58 KSP Residual norm 2.479354520792e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   59 KSP Residual norm 2.013077841968e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   60 KSP Residual norm 1.553159612793e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   61 KSP Residual norm 1.400784224898e-07 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   62 KSP Residual norm 9.707453662195e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   63 KSP Residual norm 7.263173080146e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   64 KSP Residual norm 5.593723572132e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   65 KSP Residual norm 4.448788809586e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   66 KSP Residual norm 3.613992590778e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   67 KSP Residual norm 2.946099051876e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   68 KSP Residual norm 2.408053564170e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   69 KSP Residual norm 1.945257374856e-08 </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">   70 KSP Residual norm 1.572494535110e-08 </span></div></div><div><br></div><div><br></div><div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">KSP Object: 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  type: gmres</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    happy breakdown tolerance 1e-30</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  maximum iterations=10000, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  tolerances:  relative=1e-08, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  using PRECONDITIONED norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">PC Object: 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  type: gamg</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    type is MULTIPLICATIVE, levels=6 cycles=v</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Cycles per PCApply=1</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Using externally compute Galerkin coarse grid matrices</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      GAMG specific options</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        Threshold for dropping small values in graph on each level =   0.   0.   0.   0.  </span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        Threshold scaling factor for each level not specified = 1.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        AGG specific options</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          Symmetric graph false</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          Number of levels to square graph 1</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          Number smoothing steps 1</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Coarse grid solver -- level -------------------------------</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    KSP Object: (mg_coarse_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: preonly</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      maximum iterations=10000, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      using NONE norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    PC Object: (mg_coarse_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: bjacobi</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        number of blocks = 4</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        Local solve is same for all blocks, in the following KSP and PC objects:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      KSP Object: (mg_coarse_sub_) 1 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: preonly</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        maximum iterations=1, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        using NONE norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      PC Object: (mg_coarse_sub_) 1 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: lu</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          out-of-place factorization</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          tolerance for zero pivot 2.22045e-14</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using diagonal shift on blocks to prevent zero pivot [INBLOCKS]</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          matrix ordering: nd</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          factor fill ratio given 5., needed 1.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            Factored matrix follows:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">              Mat Object: 1 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">                type: seqaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">                rows=6, cols=6, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">                package used to perform factorization: petsc</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">                total: nonzeros=36, allocated nonzeros=36</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">                total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">                  using I-node routines: found 2 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        Mat Object: 1 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          type: seqaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          rows=6, cols=6, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          total: nonzeros=36, allocated nonzeros=36</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            using I-node routines: found 2 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Mat Object: 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: mpiaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        rows=6, cols=6, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total: nonzeros=36, allocated nonzeros=36</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using nonscalable MatPtAP() implementation</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using I-node (on process 0) routines: found 2 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Down solver (pre-smoother) on level 1 -------------------------------</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    KSP Object: (mg_levels_1_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: chebyshev</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalue estimates used:  min = 0.099971, max = 1.09968</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimate via gmres min 0.154032, max 0.99971</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        KSP Object: (mg_levels_1_esteig_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          type: gmres</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            happy breakdown tolerance 1e-30</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          maximum iterations=10, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using PRECONDITIONED norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        estimating eigenvalues using noisy right hand side</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      maximum iterations=2, nonzero initial guess</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      using NONE norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    PC Object: (mg_levels_1_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: sor</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Mat Object: 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: mpiaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        rows=54, cols=54, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total: nonzeros=2916, allocated nonzeros=2916</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using I-node (on process 0) routines: found 11 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Up solver (post-smoother) same as down solver (pre-smoother)</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Down solver (pre-smoother) on level 2 -------------------------------</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    KSP Object: (mg_levels_2_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: chebyshev</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalue estimates used:  min = 0.171388, max = 1.88526</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimate via gmres min 0.0717873, max 1.71388</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        KSP Object: (mg_levels_2_esteig_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          type: gmres</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            happy breakdown tolerance 1e-30</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          maximum iterations=10, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using PRECONDITIONED norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        estimating eigenvalues using noisy right hand side</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      maximum iterations=2, nonzero initial guess</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      using NONE norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    PC Object: (mg_levels_2_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: sor</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Mat Object: 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: mpiaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        rows=642, cols=642, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total: nonzeros=99468, allocated nonzeros=99468</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using nonscalable MatPtAP() implementation</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using I-node (on process 0) routines: found 47 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Up solver (post-smoother) same as down solver (pre-smoother)</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Down solver (pre-smoother) on level 3 -------------------------------</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    KSP Object: (mg_levels_3_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: chebyshev</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalue estimates used:  min = 0.164216, max = 1.80637</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimate via gmres min 0.0376323, max 1.64216</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        KSP Object: (mg_levels_3_esteig_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          type: gmres</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            happy breakdown tolerance 1e-30</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          maximum iterations=10, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using PRECONDITIONED norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        estimating eigenvalues using noisy right hand side</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      maximum iterations=2, nonzero initial guess</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      using NONE norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    PC Object: (mg_levels_3_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: sor</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Mat Object: 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: mpiaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        rows=6726, cols=6726, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total: nonzeros=941796, allocated nonzeros=941796</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using nonscalable MatPtAP() implementation</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using I-node (on process 0) routines: found 552 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Up solver (post-smoother) same as down solver (pre-smoother)</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Down solver (pre-smoother) on level 4 -------------------------------</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    KSP Object: (mg_levels_4_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: chebyshev</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalue estimates used:  min = 0.163283, max = 1.79611</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimate via gmres min 0.0350306, max 1.63283</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        KSP Object: (mg_levels_4_esteig_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          type: gmres</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            happy breakdown tolerance 1e-30</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          maximum iterations=10, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using PRECONDITIONED norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        estimating eigenvalues using noisy right hand side</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      maximum iterations=2, nonzero initial guess</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      using NONE norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    PC Object: (mg_levels_4_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: sor</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Mat Object: 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: mpiaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        rows=41022, cols=41022, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total: nonzeros=2852316, allocated nonzeros=2852316</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using nonscalable MatPtAP() implementation</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using I-node (on process 0) routines: found 3432 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Up solver (post-smoother) same as down solver (pre-smoother)</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Down solver (pre-smoother) on level 5 -------------------------------</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    KSP Object: (mg_levels_5_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: chebyshev</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalue estimates used:  min = 0.157236, max = 1.7296</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimate via gmres min 0.0317897, max 1.57236</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        KSP Object: (mg_levels_5_esteig_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          type: gmres</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">            happy breakdown tolerance 1e-30</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          maximum iterations=10, initial guess is zero</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using PRECONDITIONED norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        estimating eigenvalues using noisy right hand side</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      maximum iterations=2, nonzero initial guess</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      left preconditioning</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      using NONE norm type for convergence test</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    PC Object: (mg_levels_5_) 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      type: sor</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      Mat Object: () 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        type: mpiaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        rows=543606, cols=543606, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total: nonzeros=29224836, allocated nonzeros=29302596</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">        total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          has attached near null space</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">          using I-node (on process 0) routines: found 45644 nodes, limit used is 5</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Up solver (post-smoother) same as down solver (pre-smoother)</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  linear system matrix = precond matrix:</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">  Mat Object: () 4 MPI processes</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    type: mpiaij</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    rows=543606, cols=543606, bs=6</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    total: nonzeros=29224836, allocated nonzeros=29302596</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">    total number of mallocs used during MatSetValues calls =0</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      has attached near null space</span></div><div style="margin:0px;font-stretch:normal;font-size:10px;line-height:normal;font-family:Monaco;color:rgb(242,242,242);background-color:rgba(0,0,0,0.85098)"><span style="font-variant-ligatures:no-common-ligatures">      using I-node (on process 0) routines: found 45644 nodes, limit used is 5</span></div></div><div><span style="font-variant-ligatures:no-common-ligatures"><br></span></div><div><span style="font-variant-ligatures:no-common-ligatures"><br></span></div></div></blockquote></div></div>