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Satish Balay committed af2272c Merge

Merge branch 'balay/atpesc-tutorial-2014' into maint

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  • Parent commits 7a5b41d, 958389d

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File src/ksp/ksp/examples/tutorials/ex50.c

-/*   DM/KSP solving a system of linear equations.
+/*   DMDA/KSP solving a system of linear equations.
      Poisson equation in 2D:
 
      div(grad p) = f,  0 < x,y < 1
          based on petsc/src/ksp/ksp/examples/tutorials/ex29.c and ex32.c
 
      Example of Usage:
-          ./ex50 -mglevels 3 -ksp_monitor -M 3 -N 3 -ksp_view -dm_view draw -draw_pause -1
-          ./ex50 -M 100 -N 100 -mglevels 1 -mg_levels_0_pc_factor_levels <ilu_levels> -ksp_monitor -cmp_solu
-          ./ex50 -M 100 -N 100 -mglevels 1 -mg_levels_0_pc_type lu -mg_levels_0_pc_factor_shift_type NONZERO -ksp_monitor -cmp_solu
-          mpiexec -n 4 ./ex50 -M 3 -N 3 -ksp_monitor -ksp_view -mglevels 10 -log_summary
+          ./ex50 -da_grid_x 3 -da_grid_y 3 -pc_type mg -da_refine 3 -ksp_monitor -ksp_view -dm_view draw -draw_pause -1
+          ./ex50 -da_grid_x 100 -da_grid_y 100 -pc_type mg  -pc_mg_levels 1 -mg_levels_0_pc_type ilu -mg_levels_0_pc_factor_levels 1 -ksp_monitor -ksp_view
+          ./ex50 -da_grid_x 100 -da_grid_y 100 -pc_type mg -pc_mg_levels 1 -mg_levels_0_pc_type lu -mg_levels_0_pc_factor_shift_type NONZERO -ksp_monitor
+          mpiexec -n 4 ./ex50 -da_grid_x 3 -da_grid_y 3 -pc_type mg -da_refine 10 -ksp_monitor -ksp_view -log_summary
 */
 
 static char help[] = "Solves 2D Poisson equation using multigrid.\n\n";

File src/ksp/ksp/examples/tutorials/output/ex42_tut_1.out.html

+<pre>
+  Residual norms for stokes_ solve.
+  0 KSP Residual norm 1.415106368539e-01 
+  1 KSP Residual norm 1.400940883855e-01 
+  2 KSP Residual norm 1.378888975786e-01 
+  3 KSP Residual norm 1.186604070209e-01 
+  4 KSP Residual norm 1.028998751762e-01 
+  5 KSP Residual norm 7.848909969551e-02 
+  6 KSP Residual norm 5.447220914352e-02 
+  7 KSP Residual norm 3.988770773413e-02 
+  8 KSP Residual norm 3.363854861536e-02 
+  9 KSP Residual norm 2.736827233823e-02 
+ 10 KSP Residual norm 1.165737217325e-02 
+ 11 KSP Residual norm 4.774812483753e-03 
+ 12 KSP Residual norm 3.000086313131e-03 
+ 13 KSP Residual norm 2.037587391559e-03 
+ 14 KSP Residual norm 1.568521310223e-03 
+ 15 KSP Residual norm 1.334625445379e-03 
+ 16 KSP Residual norm 1.090851737254e-03 
+ 17 KSP Residual norm 8.103224656839e-04 
+ 18 KSP Residual norm 5.102610507849e-04 
+ 19 KSP Residual norm 3.288211379904e-04 
+ 20 KSP Residual norm 2.728521747500e-04 
+ 21 KSP Residual norm 2.223350574524e-04 
+ 22 KSP Residual norm 1.673811400575e-04 
+ 23 KSP Residual norm 1.311135290280e-04 
+ 24 KSP Residual norm 7.772166545981e-05 
+ 25 KSP Residual norm 5.867750733582e-05 
+ 26 KSP Residual norm 4.630194799520e-05 
+ 27 KSP Residual norm 3.964093586467e-05 
+ 28 KSP Residual norm 3.056223609815e-05 
+ 29 KSP Residual norm 1.859145871855e-05 
+ 30 KSP Residual norm 1.193441010276e-05 
+ 31 KSP Residual norm 1.165803628047e-05 
+ 32 KSP Residual norm 1.141616465400e-05 
+ 33 KSP Residual norm 1.049268438169e-05 
+ 34 KSP Residual norm 8.497378403241e-06 
+ 35 KSP Residual norm 7.388268819679e-06 
+ 36 KSP Residual norm 5.336285890712e-06 
+ 37 KSP Residual norm 3.840054785366e-06 
+ 38 KSP Residual norm 2.395520205078e-06 
+ 39 KSP Residual norm 1.803336718345e-06 
+ 40 KSP Residual norm 1.575082118836e-06 
+ 41 KSP Residual norm 1.498075417943e-06 
+ 42 KSP Residual norm 1.421906839519e-06 
+ 43 KSP Residual norm 1.162676253695e-06 
+</pre>

File src/ksp/ksp/examples/tutorials/output/ex42_tut_2.out.html

+<pre>
+  Residual norms for stokes_ solve.
+  0 KSP Residual norm 8.027318457323e-01 
+  1 KSP Residual norm 3.217055161566e-01 
+  2 KSP Residual norm 1.567207800303e-02 
+  3 KSP Residual norm 2.523442875205e-03 
+  4 KSP Residual norm 5.769713622537e-04 
+  5 KSP Residual norm 1.367390746917e-04 
+  6 KSP Residual norm 3.607833346417e-05 
+  7 KSP Residual norm 1.029740760743e-05 
+  8 KSP Residual norm 2.036631234554e-06 
+</pre>

File src/ksp/ksp/examples/tutorials/output/ex42_tut_3.out.html

+<pre>
+  0 KSP Residual norm 1.597874137852e+00 
+  1 KSP Residual norm 1.550001630404e+00 
+  2 KSP Residual norm 3.108205212664e-02 
+  3 KSP Residual norm 3.905681945721e-03 
+  4 KSP Residual norm 6.632684515261e-04 
+  5 KSP Residual norm 1.106949348924e-04 
+  6 KSP Residual norm 2.185139359853e-05 
+  7 KSP Residual norm 5.030122495003e-06 
+</pre>

File src/ksp/ksp/examples/tutorials/output/ex50_tut_1.out.html

+<pre>
+Mat Object: 1 MPI processes
+  type: seqaij
+row 0: (0, 0)  (1, 0)  (4, 0) 
+row 1: (0, 0)  (1, 0)  (2, 0)  (5, 0) 
+row 2: (1, 0)  (2, 0)  (3, 0)  (6, 0) 
+row 3: (2, 0)  (3, 0)  (7, 0) 
+row 4: (0, 0)  (4, 0)  (5, 0)  (8, 0) 
+row 5: (1, 0)  (4, 0)  (5, 0)  (6, 0)  (9, 0) 
+row 6: (2, 0)  (5, 0)  (6, 0)  (7, 0)  (10, 0) 
+row 7: (3, 0)  (6, 0)  (7, 0)  (11, 0) 
+row 8: (4, 0)  (8, 0)  (9, 0)  (12, 0) 
+row 9: (5, 0)  (8, 0)  (9, 0)  (10, 0)  (13, 0) 
+row 10: (6, 0)  (9, 0)  (10, 0)  (11, 0)  (14, 0) 
+row 11: (7, 0)  (10, 0)  (11, 0)  (15, 0) 
+row 12: (8, 0)  (12, 0)  (13, 0) 
+row 13: (9, 0)  (12, 0)  (13, 0)  (14, 0) 
+row 14: (10, 0)  (13, 0)  (14, 0)  (15, 0) 
+row 15: (11, 0)  (14, 0)  (15, 0) 
+Mat Object: 1 MPI processes
+  type: seqaij
+row 0: (0, 2)  (1, -1)  (4, -1) 
+row 1: (0, -1)  (1, 3)  (2, -1)  (5, -1) 
+row 2: (1, -1)  (2, 3)  (3, -1)  (6, -1) 
+row 3: (2, -1)  (3, 2)  (7, -1) 
+row 4: (0, -1)  (4, 3)  (5, -1)  (8, -1) 
+row 5: (1, -1)  (4, -1)  (5, 4)  (6, -1)  (9, -1) 
+row 6: (2, -1)  (5, -1)  (6, 4)  (7, -1)  (10, -1) 
+row 7: (3, -1)  (6, -1)  (7, 3)  (11, -1) 
+row 8: (4, -1)  (8, 3)  (9, -1)  (12, -1) 
+row 9: (5, -1)  (8, -1)  (9, 4)  (10, -1)  (13, -1) 
+row 10: (6, -1)  (9, -1)  (10, 4)  (11, -1)  (14, -1) 
+row 11: (7, -1)  (10, -1)  (11, 3)  (15, -1) 
+row 12: (8, -1)  (12, 2)  (13, -1) 
+row 13: (9, -1)  (12, -1)  (13, 3)  (14, -1) 
+row 14: (10, -1)  (13, -1)  (14, 3)  (15, -1) 
+row 15: (11, -1)  (14, -1)  (15, 2) 
+</pre>

File src/ksp/ksp/examples/tutorials/output/ex50_tut_2.out.html

+<pre>
+  0 KSP Residual norm 3.039809126331e+00 
+  1 KSP Residual norm 2.133627389912e-14 
+KSP Object: 16 MPI processes
+  type: gmres
+    GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+    GMRES: happy breakdown tolerance 1e-30
+  maximum iterations=10000, initial guess is zero
+  tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+  left preconditioning
+  has attached null space
+  using PRECONDITIONED norm type for convergence test
+PC Object: 16 MPI processes
+  type: lu
+    LU: out-of-place factorization
+    tolerance for zero pivot 2.22045e-14
+    matrix ordering: natural
+    factor fill ratio given 0, needed 0
+      Factored matrix follows:
+        Mat Object:         16 MPI processes
+          type: mpiaij
+          rows=14400, cols=14400
+          package used to perform factorization: superlu_dist
+          total: nonzeros=0, allocated nonzeros=0
+          total number of mallocs used during MatSetValues calls =0
+            SuperLU_DIST run parameters:
+              Process grid nprow 4 x npcol 4 
+              Equilibrate matrix TRUE 
+              Matrix input mode 1 
+              Replace tiny pivots TRUE 
+              Use iterative refinement FALSE 
+              Processors in row 4 col partition 4 
+              Row permutation LargeDiag 
+              Column permutation METIS_AT_PLUS_A
+              Parallel symbolic factorization FALSE 
+              Repeated factorization SamePattern_SameRowPerm
+  linear system matrix = precond matrix:
+  Mat Object:   16 MPI processes
+    type: mpiaij
+    rows=14400, cols=14400
+    total: nonzeros=71520, allocated nonzeros=71520
+    total number of mallocs used during MatSetValues calls =0
+      has attached null space
+</pre>

File src/ksp/ksp/examples/tutorials/output/ex50_tut_3.out.html

+<pre>
+  0 KSP Residual norm 4.419256232155e+01 
+  1 KSP Residual norm 5.451780353415e-01 
+  2 KSP Residual norm 2.277974394329e-02 
+  3 KSP Residual norm 2.972141446438e-04 
+</pre>

File src/snes/examples/tutorials/output/ex19_tut_1.out.html

+<pre>
+lid velocity = 2.68464e-05, prandtl # = 1, grashof # = 1
+  0 SNES Function norm 5.194474049528e-03 
+    0 KSP Residual norm 6.512019974733e-02 
+    1 KSP Residual norm 1.743788264595e-02 
+    2 KSP Residual norm 9.672422975447e-03 
+    3 KSP Residual norm 8.179875238421e-03 
+    4 KSP Residual norm 7.797581371050e-03 
+    5 KSP Residual norm 7.643045740979e-03 
+    6 KSP Residual norm 7.537333525994e-03 
+    7 KSP Residual norm 7.426801989892e-03 
+    8 KSP Residual norm 7.314931473915e-03 
+    9 KSP Residual norm 7.192545937624e-03 
+   10 KSP Residual norm 7.080925852735e-03 
+   11 KSP Residual norm 6.964616554008e-03 
+   12 KSP Residual norm 6.847190933508e-03 
+   13 KSP Residual norm 6.703538502077e-03 
+   14 KSP Residual norm 6.551686604205e-03 
+   15 KSP Residual norm 6.386690888110e-03 
+   16 KSP Residual norm 6.222570216023e-03 
+   17 KSP Residual norm 6.059650302898e-03 
+   18 KSP Residual norm 5.895306500595e-03 
+   19 KSP Residual norm 5.729398922877e-03 
+   20 KSP Residual norm 5.562558316885e-03 
+   21 KSP Residual norm 5.401644183180e-03 
+   22 KSP Residual norm 5.247597369199e-03 
+   23 KSP Residual norm 5.096628302505e-03 
+   24 KSP Residual norm 4.952742735553e-03 
+   25 KSP Residual norm 4.809155615762e-03 
+   26 KSP Residual norm 4.665060888021e-03 
+   27 KSP Residual norm 4.532563676183e-03 
+   28 KSP Residual norm 4.423370194719e-03 
+   29 KSP Residual norm 4.338901167200e-03 
+   30 KSP Residual norm 4.263585663445e-03 
+   31 KSP Residual norm 4.223237800920e-03 
+   32 KSP Residual norm 4.184554599485e-03 
+   33 KSP Residual norm 4.158985353414e-03 
+   34 KSP Residual norm 4.142169252333e-03 
+   35 KSP Residual norm 4.122779908602e-03 
+   36 KSP Residual norm 4.089605682002e-03 
+   37 KSP Residual norm 4.055282366193e-03 
+   38 KSP Residual norm 4.019288360113e-03 
+   39 KSP Residual norm 3.983102460341e-03 
+   40 KSP Residual norm 3.949165689497e-03 
+   41 KSP Residual norm 3.916281040589e-03 
+   42 KSP Residual norm 3.871593313107e-03 
+   43 KSP Residual norm 3.797613034398e-03 
+   44 KSP Residual norm 3.659298225098e-03 
+   45 KSP Residual norm 3.499443318248e-03 
+   46 KSP Residual norm 3.375236230009e-03 
+   47 KSP Residual norm 3.236752673989e-03 
+   48 KSP Residual norm 3.084640708530e-03 
+   49 KSP Residual norm 2.954646535015e-03 
+   50 KSP Residual norm 2.845750238153e-03 
+   51 KSP Residual norm 2.719653262854e-03 
+   52 KSP Residual norm 2.594561639884e-03 
+   53 KSP Residual norm 2.480634649382e-03 
+   54 KSP Residual norm 2.396965157919e-03 
+   55 KSP Residual norm 2.346356999584e-03 
+   56 KSP Residual norm 2.315988111835e-03 
+   57 KSP Residual norm 2.292058134538e-03 
+   58 KSP Residual norm 2.264392796908e-03 
+   59 KSP Residual norm 2.232108462560e-03 
+   60 KSP Residual norm 2.195584918480e-03 
+   61 KSP Residual norm 2.175781035594e-03 
+   62 KSP Residual norm 2.163366596864e-03 
+   63 KSP Residual norm 2.158506867543e-03 
+   64 KSP Residual norm 2.154120380332e-03 
+   65 KSP Residual norm 2.148502913868e-03 
+   66 KSP Residual norm 2.139497666586e-03 
+   67 KSP Residual norm 2.128174100559e-03 
+   68 KSP Residual norm 2.114355429214e-03 
+   69 KSP Residual norm 2.099817554076e-03 
+   70 KSP Residual norm 2.085531650853e-03 
+   71 KSP Residual norm 2.069347897659e-03 
+   72 KSP Residual norm 2.047766885717e-03 
+   73 KSP Residual norm 2.014248649138e-03 
+   74 KSP Residual norm 1.971592667410e-03 
+   75 KSP Residual norm 1.915934351228e-03 
+   76 KSP Residual norm 1.851130392293e-03 
+   77 KSP Residual norm 1.773750168913e-03 
+   78 KSP Residual norm 1.703915713213e-03 
+   79 KSP Residual norm 1.646996914167e-03 
+   80 KSP Residual norm 1.601152896342e-03 
+   81 KSP Residual norm 1.570527137826e-03 
+   82 KSP Residual norm 1.548304715132e-03 
+   83 KSP Residual norm 1.530390709379e-03 
+   84 KSP Residual norm 1.515781767877e-03 
+   85 KSP Residual norm 1.506255961434e-03 
+   86 KSP Residual norm 1.500101981040e-03 
+   87 KSP Residual norm 1.497339293419e-03 
+   88 KSP Residual norm 1.495872196460e-03 
+   89 KSP Residual norm 1.495124340135e-03 
+   90 KSP Residual norm 1.493959508546e-03 
+   91 KSP Residual norm 1.493511445725e-03 
+   92 KSP Residual norm 1.493246407352e-03 
+   93 KSP Residual norm 1.493228935928e-03 
+   94 KSP Residual norm 1.492541365648e-03 
+   95 KSP Residual norm 1.490675527572e-03 
+   96 KSP Residual norm 1.487335508414e-03 
+   97 KSP Residual norm 1.481575436046e-03 
+   98 KSP Residual norm 1.474354517449e-03 
+   99 KSP Residual norm 1.465462261436e-03 
+  100 KSP Residual norm 1.449070190663e-03 
+  101 KSP Residual norm 1.422175576650e-03 
+  102 KSP Residual norm 1.386344545956e-03 
+  103 KSP Residual norm 1.351475711760e-03 
+  104 KSP Residual norm 1.320035407734e-03 
+  105 KSP Residual norm 1.286252953647e-03 
+  106 KSP Residual norm 1.262858528006e-03 
+  107 KSP Residual norm 1.243066272828e-03 
+  108 KSP Residual norm 1.221453432383e-03 
+  109 KSP Residual norm 1.198973274188e-03 
+  110 KSP Residual norm 1.161742938002e-03 
+  111 KSP Residual norm 1.119654364004e-03 
+  112 KSP Residual norm 1.076821161873e-03 
+  113 KSP Residual norm 1.043894440829e-03 
+  114 KSP Residual norm 1.016312877752e-03 
+  115 KSP Residual norm 9.933024099744e-04 
+  116 KSP Residual norm 9.753719103298e-04 
+  117 KSP Residual norm 9.567394033993e-04 
+  118 KSP Residual norm 9.376327086723e-04 
+  119 KSP Residual norm 9.155070846206e-04 
+  120 KSP Residual norm 8.858317726068e-04 
+  121 KSP Residual norm 8.685083728712e-04 
+  122 KSP Residual norm 8.528694450378e-04 
+  123 KSP Residual norm 8.404023331338e-04 
+  124 KSP Residual norm 8.305177723576e-04 
+  125 KSP Residual norm 8.245761516509e-04 
+  126 KSP Residual norm 8.187814682240e-04 
+  127 KSP Residual norm 8.136147207205e-04 
+  128 KSP Residual norm 8.069093769993e-04 
+  129 KSP Residual norm 7.989852667813e-04 
+  130 KSP Residual norm 7.922999751853e-04 
+  131 KSP Residual norm 7.871548973436e-04 
+  132 KSP Residual norm 7.818002993163e-04 
+  133 KSP Residual norm 7.767645290700e-04 
+  134 KSP Residual norm 7.713139757124e-04 
+  135 KSP Residual norm 7.636823399374e-04 
+  136 KSP Residual norm 7.554007066777e-04 
+  137 KSP Residual norm 7.454213068767e-04 
+  138 KSP Residual norm 7.300472981907e-04 
+  139 KSP Residual norm 7.141454089860e-04 
+  140 KSP Residual norm 6.966364254174e-04 
+  141 KSP Residual norm 6.762346416176e-04 
+  142 KSP Residual norm 6.565773812414e-04 
+  143 KSP Residual norm 6.345081486420e-04 
+  144 KSP Residual norm 6.006570188152e-04 
+  145 KSP Residual norm 5.673554519191e-04 
+  146 KSP Residual norm 5.360764040585e-04 
+  147 KSP Residual norm 5.044267616379e-04 
+  148 KSP Residual norm 4.808774222506e-04 
+  149 KSP Residual norm 4.674788169031e-04 
+  150 KSP Residual norm 4.571754544758e-04 
+  151 KSP Residual norm 4.520776385294e-04 
+  152 KSP Residual norm 4.480503403002e-04 
+  153 KSP Residual norm 4.456492348755e-04 
+  154 KSP Residual norm 4.447485826778e-04 
+  155 KSP Residual norm 4.442961112974e-04 
+  156 KSP Residual norm 4.437896717191e-04 
+  157 KSP Residual norm 4.428858116083e-04 
+  158 KSP Residual norm 4.410543895241e-04 
+  159 KSP Residual norm 4.384297732984e-04 
+  160 KSP Residual norm 4.352031487636e-04 
+  161 KSP Residual norm 4.321797043229e-04 
+  162 KSP Residual norm 4.292691755655e-04 
+  163 KSP Residual norm 4.253214698132e-04 
+  164 KSP Residual norm 4.201153353437e-04 
+  165 KSP Residual norm 4.132889846641e-04 
+  166 KSP Residual norm 4.046220372921e-04 
+  167 KSP Residual norm 3.923810532582e-04 
+  168 KSP Residual norm 3.790559333587e-04 
+  169 KSP Residual norm 3.658469767237e-04 
+  170 KSP Residual norm 3.498824034592e-04 
+  171 KSP Residual norm 3.355098686457e-04 
+  172 KSP Residual norm 3.253091199309e-04 
+  173 KSP Residual norm 3.174907379056e-04 
+  174 KSP Residual norm 3.106008468846e-04 
+  175 KSP Residual norm 3.050235087130e-04 
+  176 KSP Residual norm 3.009359162508e-04 
+  177 KSP Residual norm 2.978058614469e-04 
+  178 KSP Residual norm 2.958505907385e-04 
+  179 KSP Residual norm 2.946503646275e-04 
+  180 KSP Residual norm 2.936610830339e-04 
+  181 KSP Residual norm 2.932306134932e-04 
+  182 KSP Residual norm 2.929645868971e-04 
+  183 KSP Residual norm 2.929355276744e-04 
+  184 KSP Residual norm 2.929046413419e-04 
+  185 KSP Residual norm 2.928092224737e-04 
+  186 KSP Residual norm 2.924088652854e-04 
+  187 KSP Residual norm 2.917494358531e-04 
+  188 KSP Residual norm 2.909627941125e-04 
+  189 KSP Residual norm 2.899218312366e-04 
+  190 KSP Residual norm 2.887074889732e-04 
+  191 KSP Residual norm 2.865925329442e-04 
+  192 KSP Residual norm 2.828428530085e-04 
+  193 KSP Residual norm 2.774863255241e-04 
+  194 KSP Residual norm 2.712351922708e-04 
+  195 KSP Residual norm 2.641281083334e-04 
+  196 KSP Residual norm 2.576184376875e-04 
+  197 KSP Residual norm 2.494530473882e-04 
+  198 KSP Residual norm 2.413791933851e-04 
+  199 KSP Residual norm 2.350104984140e-04 
+  200 KSP Residual norm 2.295723878492e-04 
+  201 KSP Residual norm 2.238969253819e-04 
+  202 KSP Residual norm 2.173443853134e-04 
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+  435 KSP Residual norm 3.704172195945e-10 
+  436 KSP Residual norm 3.623381012132e-10 
+  437 KSP Residual norm 3.549883704278e-10 
+  438 KSP Residual norm 3.494751167920e-10 
+  439 KSP Residual norm 3.447413752577e-10 
+  440 KSP Residual norm 3.399507534968e-10 
+  441 KSP Residual norm 3.353086027190e-10 
+  442 KSP Residual norm 3.305115051628e-10 
+  443 KSP Residual norm 3.252843240983e-10 
+  444 KSP Residual norm 3.196592080054e-10 
+  445 KSP Residual norm 3.137682337469e-10 
+  446 KSP Residual norm 3.083934210087e-10 
+  447 KSP Residual norm 3.035603863827e-10 
+  448 KSP Residual norm 2.989374089144e-10 
+  449 KSP Residual norm 2.946652723828e-10 
+  450 KSP Residual norm 2.909555094481e-10 
+  451 KSP Residual norm 2.888760796139e-10 
+  452 KSP Residual norm 2.862723380049e-10 
+  453 KSP Residual norm 2.834991715828e-10 
+  454 KSP Residual norm 2.803444611045e-10 
+  455 KSP Residual norm 2.766680107508e-10 
+  456 KSP Residual norm 2.729295097268e-10 
+  457 KSP Residual norm 2.696092541411e-10 
+  458 KSP Residual norm 2.664238660782e-10 
+  459 KSP Residual norm 2.627873166899e-10 
+  460 KSP Residual norm 2.596343219494e-10 
+  461 KSP Residual norm 2.562908465614e-10 
+  462 KSP Residual norm 2.522094485309e-10 
+  463 KSP Residual norm 2.469123906773e-10 
+  464 KSP Residual norm 2.407406435477e-10 
+  465 KSP Residual norm 2.350997325229e-10 
+  466 KSP Residual norm 2.298053699116e-10 
+  467 KSP Residual norm 2.241559500887e-10 
+  468 KSP Residual norm 2.190658664608e-10 
+  469 KSP Residual norm 2.143937031478e-10 
+  470 KSP Residual norm 2.102436456253e-10 
+  471 KSP Residual norm 2.057478118586e-10 
+  472 KSP Residual norm 2.021214880835e-10 
+  473 KSP Residual norm 1.985611441822e-10 
+  474 KSP Residual norm 1.955534379988e-10 
+  475 KSP Residual norm 1.931834814123e-10 
+  476 KSP Residual norm 1.905845295484e-10 
+  477 KSP Residual norm 1.882370422889e-10 
+  478 KSP Residual norm 1.861422956463e-10 
+  479 KSP Residual norm 1.841605421075e-10 
+  480 KSP Residual norm 1.820407994726e-10 
+  481 KSP Residual norm 1.808108424200e-10 
+  482 KSP Residual norm 1.793792468233e-10 
+  483 KSP Residual norm 1.776748594621e-10 
+  484 KSP Residual norm 1.754859639116e-10 
+  485 KSP Residual norm 1.731184175723e-10 
+  486 KSP Residual norm 1.707741746425e-10 
+  487 KSP Residual norm 1.684084828700e-10 
+  488 KSP Residual norm 1.666213147479e-10 
+  489 KSP Residual norm 1.646234311588e-10 
+  490 KSP Residual norm 1.623148971962e-10 
+  491 KSP Residual norm 1.601647158566e-10 
+  492 KSP Residual norm 1.578944443048e-10 
+  493 KSP Residual norm 1.555401688236e-10 
+  494 KSP Residual norm 1.521371681149e-10 
+  495 KSP Residual norm 1.487700711840e-10 
+  496 KSP Residual norm 1.449932798391e-10 
+  497 KSP Residual norm 1.413874177729e-10 
+  498 KSP Residual norm 1.382132822154e-10 
+  499 KSP Residual norm 1.352612403829e-10 
+  500 KSP Residual norm 1.329994403110e-10 
+  501 KSP Residual norm 1.305168348987e-10 
+  502 KSP Residual norm 1.280197439096e-10 
+  503 KSP Residual norm 1.258707090820e-10 
+  504 KSP Residual norm 1.237746586816e-10 
+  505 KSP Residual norm 1.216599247177e-10 
+  506 KSP Residual norm 1.196012261170e-10 
+  507 KSP Residual norm 1.179213729655e-10 
+  508 KSP Residual norm 1.162260992838e-10 
+  509 KSP Residual norm 1.149839167436e-10 
+  510 KSP Residual norm 1.139096446282e-10 
+  511 KSP Residual norm 1.132936712451e-10 
+  512 KSP Residual norm 1.126393507039e-10 
+  513 KSP Residual norm 1.117144506120e-10 
+  514 KSP Residual norm 1.107176780417e-10 
+  515 KSP Residual norm 1.095286939384e-10 
+  516 KSP Residual norm 1.082016952557e-10 
+  517 KSP Residual norm 1.070574476690e-10 
+  518 KSP Residual norm 1.058474156381e-10 
+  519 KSP Residual norm 1.046229656509e-10 
+  520 KSP Residual norm 1.030611610598e-10 
+  521 KSP Residual norm 1.012010742958e-10 
+  522 KSP Residual norm 9.894021352370e-11 
+  523 KSP Residual norm 9.578022707068e-11 
+  524 KSP Residual norm 9.262020695208e-11 
+  525 KSP Residual norm 9.002456686808e-11 
+  526 KSP Residual norm 8.803038735689e-11 
+  527 KSP Residual norm 8.631215195325e-11 
+  528 KSP Residual norm 8.492955203005e-11 
+  529 KSP Residual norm 8.354795925019e-11 
+  530 KSP Residual norm 8.236108906907e-11 
+  531 KSP Residual norm 8.134772246073e-11 
+  532 KSP Residual norm 8.037976235329e-11 
+  533 KSP Residual norm 7.937659925497e-11 
+  534 KSP Residual norm 7.846264786813e-11 
+  535 KSP Residual norm 7.759336480553e-11 
+  536 KSP Residual norm 7.678908273539e-11 
+  537 KSP Residual norm 7.586007898415e-11 
+  538 KSP Residual norm 7.473386789765e-11 
+  539 KSP Residual norm 7.354733443514e-11 
+  540 KSP Residual norm 7.202710114770e-11 
+  541 KSP Residual norm 7.115053455744e-11 
+  542 KSP Residual norm 7.033495291611e-11 
+  543 KSP Residual norm 6.957990718515e-11 
+  544 KSP Residual norm 6.892845116012e-11 
+  545 KSP Residual norm 6.846404626797e-11 
+  546 KSP Residual norm 6.807491622583e-11 
+  547 KSP Residual norm 6.770592418395e-11 
+  548 KSP Residual norm 6.734151146714e-11 
+  549 KSP Residual norm 6.704019535012e-11 
+  550 KSP Residual norm 6.668454684300e-11 
+  551 KSP Residual norm 6.623266430061e-11 
+  552 KSP Residual norm 6.575965970426e-11 
+  553 KSP Residual norm 6.517509238792e-11 
+  554 KSP Residual norm 6.429734012041e-11 
+  555 KSP Residual norm 6.338869764615e-11 
+  556 KSP Residual norm 6.231910696970e-11 
+  557 KSP Residual norm 6.115221425884e-11 
+  558 KSP Residual norm 6.006012014559e-11 
+  559 KSP Residual norm 5.908044286188e-11 
+  560 KSP Residual norm 5.813329632716e-11 
+  561 KSP Residual norm 5.698845003657e-11 
+  562 KSP Residual norm 5.579909758940e-11 
+  563 KSP Residual norm 5.464426153805e-11 
+  564 KSP Residual norm 5.339287795384e-11 
+  565 KSP Residual norm 5.226656344821e-11 
+  566 KSP Residual norm 5.124447025887e-11 
+  567 KSP Residual norm 5.040571322187e-11 
+  568 KSP Residual norm 4.971021224796e-11 
+  569 KSP Residual norm 4.913966906086e-11 
+  570 KSP Residual norm 4.862954157535e-11 
+  571 KSP Residual norm 4.836083738254e-11 
+  572 KSP Residual norm 4.805601034078e-11 
+  573 KSP Residual norm 4.771127396405e-11 
+  574 KSP Residual norm 4.735067483954e-11 
+  575 KSP Residual norm 4.694125145281e-11 
+  576 KSP Residual norm 4.652050390177e-11 
+  577 KSP Residual norm 4.613943515128e-11 
+  578 KSP Residual norm 4.571268498731e-11 
+  579 KSP Residual norm 4.519390072604e-11 
+  580 KSP Residual norm 4.461126626868e-11 
+  581 KSP Residual norm 4.387695612086e-11 
+  582 KSP Residual norm 4.307166916080e-11 
+  583 KSP Residual norm 4.208125205318e-11 
+  584 KSP Residual norm 4.107941823082e-11 
+  585 KSP Residual norm 4.028062476346e-11 
+  586 KSP Residual norm 3.948501516250e-11 
+  587 KSP Residual norm 3.884530228839e-11 
+  588 KSP Residual norm 3.833258209863e-11 
+  589 KSP Residual norm 3.791496931365e-11 
+  590 KSP Residual norm 3.758764935145e-11 
+  591 KSP Residual norm 3.723975452727e-11 
+  592 KSP Residual norm 3.688846906686e-11 
+  593 KSP Residual norm 3.649763054731e-11 
+  594 KSP Residual norm 3.606957653732e-11 
+  595 KSP Residual norm 3.554514003087e-11 
+  596 KSP Residual norm 3.505061497855e-11 
+  597 KSP Residual norm 3.445335774389e-11 
+  598 KSP Residual norm 3.384160810767e-11 
+  599 KSP Residual norm 3.332920855541e-11 
+  600 KSP Residual norm 3.279654761251e-11 
+  601 KSP Residual norm 3.251448932760e-11 
+  602 KSP Residual norm 3.225417698191e-11 
+  603 KSP Residual norm 3.196312494894e-11 
+  604 KSP Residual norm 3.169078788195e-11 
+  605 KSP Residual norm 3.144458656300e-11 
+  606 KSP Residual norm 3.120435654083e-11 
+  607 KSP Residual norm 3.097893864888e-11 
+  608 KSP Residual norm 3.075652485387e-11 
+  609 KSP Residual norm 3.053215462890e-11 
+  610 KSP Residual norm 3.025292412875e-11 
+  611 KSP Residual norm 2.995738404216e-11 
+  612 KSP Residual norm 2.957208711489e-11 
+  613 KSP Residual norm 2.917882234918e-11 
+  614 KSP Residual norm 2.878701092676e-11 
+  615 KSP Residual norm 2.838267949975e-11 
+  616 KSP Residual norm 2.801471127244e-11 
+  617 KSP Residual norm 2.767272757622e-11 
+  618 KSP Residual norm 2.738444153858e-11 
+  619 KSP Residual norm 2.709938234804e-11 
+  620 KSP Residual norm 2.678884119889e-11 
+  621 KSP Residual norm 2.642113279606e-11 
+  622 KSP Residual norm 2.598240542018e-11 
+  623 KSP Residual norm 2.554292136202e-11 
+  624 KSP Residual norm 2.505861255375e-11 
+  625 KSP Residual norm 2.448264421961e-11 
+  626 KSP Residual norm 2.400387313915e-11 
+  627 KSP Residual norm 2.352141367601e-11 
+  628 KSP Residual norm 2.304313041850e-11 
+  629 KSP Residual norm 2.268415695697e-11 
+  630 KSP Residual norm 2.235527805921e-11 
+  631 KSP Residual norm 2.217417729839e-11 
+  632 KSP Residual norm 2.198852224886e-11 
+  633 KSP Residual norm 2.176302282793e-11 
+  634 KSP Residual norm 2.155950680672e-11 
+  635 KSP Residual norm 2.136303095806e-11 
+  636 KSP Residual norm 2.117230318504e-11 
+  637 KSP Residual norm 2.099438152469e-11 
+  638 KSP Residual norm 2.079113699568e-11 
+  639 KSP Residual norm 2.055569931049e-11 
+  640 KSP Residual norm 2.028774440491e-11 
+  641 KSP Residual norm 2.007627656298e-11 
+  642 KSP Residual norm 1.981348377664e-11 
+  643 KSP Residual norm 1.955630513215e-11 
+  644 KSP Residual norm 1.928442938998e-11 
+  645 KSP Residual norm 1.901935672807e-11 
+  646 KSP Residual norm 1.879481899945e-11 
+  647 KSP Residual norm 1.860650456085e-11 
+  648 KSP Residual norm 1.840931321969e-11 
+  649 KSP Residual norm 1.819757162640e-11 
+  650 KSP Residual norm 1.802860560262e-11 
+  651 KSP Residual norm 1.784406935120e-11 
+  652 KSP Residual norm 1.763289362699e-11 
+  653 KSP Residual norm 1.742454738751e-11 
+  654 KSP Residual norm 1.719948815622e-11 
+  655 KSP Residual norm 1.695603043617e-11 
+  656 KSP Residual norm 1.671043739905e-11 
+  657 KSP Residual norm 1.640516082061e-11 
+  658 KSP Residual norm 1.614485289350e-11 
+  659 KSP Residual norm 1.587345074320e-11 
+  660 KSP Residual norm 1.559819788830e-11 
+  661 KSP Residual norm 1.545010987482e-11 
+  662 KSP Residual norm 1.529752756386e-11 
+  663 KSP Residual norm 1.514572388601e-11 
+  664 KSP Residual norm 1.498232741032e-11 
+  665 KSP Residual norm 1.480699562548e-11 
+  666 KSP Residual norm 1.464257962743e-11 
+  667 KSP Residual norm 1.450376864065e-11 
+  668 KSP Residual norm 1.434406599241e-11 
+  669 KSP Residual norm 1.418923788842e-11 
+  670 KSP Residual norm 1.405999976130e-11 
+  671 KSP Residual norm 1.393589115320e-11 
+  672 KSP Residual norm 1.382476415133e-11 
+  673 KSP Residual norm 1.371131843182e-11 
+  674 KSP Residual norm 1.356161793929e-11 
+  675 KSP Residual norm 1.339441213710e-11 
+  676 KSP Residual norm 1.319628632960e-11 
+  677 KSP Residual norm 1.299510614844e-11 
+  678 KSP Residual norm 1.280083144608e-11 
+  679 KSP Residual norm 1.259657658309e-11 
+  680 KSP Residual norm 1.239771663390e-11 
+  681 KSP Residual norm 1.221825027710e-11 
+  682 KSP Residual norm 1.203619068025e-11 
+  683 KSP Residual norm 1.182386444389e-11 
+  684 KSP Residual norm 1.163335801005e-11 
+  685 KSP Residual norm 1.144253098371e-11 
+  686 KSP Residual norm 1.124970300000e-11 
+  687 KSP Residual norm 1.107532260429e-11 
+  688 KSP Residual norm 1.089926342375e-11 
+  689 KSP Residual norm 1.072672882093e-11 
+  690 KSP Residual norm 1.058300277500e-11 
+  691 KSP Residual norm 1.050055305537e-11 
+  692 KSP Residual norm 1.039629473200e-11 
+  693 KSP Residual norm 1.028474876115e-11 
+  694 KSP Residual norm 1.017498273061e-11 
+  695 KSP Residual norm 1.005177108901e-11 
+  2 SNES Function norm 6.635483678516e-12 
+SNES Object: 16 MPI processes
+  type: newtonls
+  maximum iterations=50, maximum function evaluations=10000
+  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
+  total number of linear solver iterations=1230
+  total number of function evaluations=3
+  SNESLineSearch Object:   16 MPI processes
+    type: bt
+      interpolation: cubic
+      alpha=1.000000e-04
+    maxstep=1.000000e+08, minlambda=1.000000e-12
+    tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08
+    maximum iterations=40
+  KSP Object:   16 MPI processes
+    type: gmres
+      GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+      GMRES: happy breakdown tolerance 1e-30
+    maximum iterations=10000, initial guess is zero
+    tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+    left preconditioning
+    using PRECONDITIONED norm type for convergence test
+  PC Object:   16 MPI processes
+    type: bjacobi
+      block Jacobi: number of blocks = 16
+      Local solve is same for all blocks, in the following KSP and PC objects:
+    KSP Object:    (sub_)     1 MPI processes
+      type: preonly
+      maximum iterations=10000, initial guess is zero
+      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+      left preconditioning
+      using NONE norm type for convergence test
+    PC Object:    (sub_)     1 MPI processes
+      type: ilu
+        ILU: out-of-place factorization
+        0 levels of fill
+        tolerance for zero pivot 2.22045e-14
+        using diagonal shift on blocks to prevent zero pivot
+        matrix ordering: natural
+        factor fill ratio given 1, needed 1
+          Factored matrix follows:
+            Matrix Object:             1 MPI processes
+              type: seqaij
+              rows=9604, cols=9604, bs=4
+              package used to perform factorization: petsc
+              total: nonzeros=188944, allocated nonzeros=188944
+              total number of mallocs used during MatSetValues calls =0
+                using I-node routines: found 2401 nodes, limit used is 5
+      linear system matrix = precond matrix:
+      Matrix Object:       1 MPI processes
+        type: seqaij
+        rows=9604, cols=9604, bs=4
+        total: nonzeros=188944, allocated nonzeros=188944
+        total number of mallocs used during MatSetValues calls =0
+          using I-node routines: found 2401 nodes, limit used is 5
+    linear system matrix = precond matrix:
+    Matrix Object:     16 MPI processes
+      type: mpiaij
+      rows=148996, cols=148996, bs=4
+      total: nonzeros=2967568, allocated nonzeros=2967568
+      total number of mallocs used during MatSetValues calls =0
+Number of SNES iterations = 2
+</pre>

File src/snes/examples/tutorials/output/ex19_tut_2.out.html

+<pre>
+lid velocity = 2.68464e-05, prandtl # = 1, grashof # = 1
+  0 SNES Function norm 5.194474049528e-03 
+    0 KSP Residual norm 4.586403986746e+00 
+    1 KSP Residual norm 1.144085844681e+00 
+    2 KSP Residual norm 7.664905122931e-02 
+    3 KSP Residual norm 1.190684909910e-02 
+    4 KSP Residual norm 9.669817478184e-04 
+    5 KSP Residual norm 1.351131426050e-04 
+    6 KSP Residual norm 1.580316065752e-05 
+  1 SNES Function norm 1.387059035537e-05 
+    0 KSP Residual norm 7.086905068088e-05 
+    1 KSP Residual norm 1.338254737508e-05 
+    2 KSP Residual norm 3.258469940776e-06 
+    3 KSP Residual norm 2.825083879479e-06 
+    4 KSP Residual norm 7.234902200472e-07 
+    5 KSP Residual norm 1.302236108731e-07 
+    6 KSP Residual norm 1.016080496574e-08 
+    7 KSP Residual norm 1.989974382445e-09 
+    8 KSP Residual norm 3.563426050858e-10 
+  2 SNES Function norm 3.311169982987e-09 
+    0 KSP Residual norm 7.216875298520e-10 
+    1 KSP Residual norm 6.000695339011e-11 
+    2 KSP Residual norm 5.566744020371e-12 
+    3 KSP Residual norm 1.228935567692e-12 
+    4 KSP Residual norm 1.714665520936e-13 
+    5 KSP Residual norm 2.056326141664e-14 
+    6 KSP Residual norm 1.887908917668e-15 
+  3 SNES Function norm 2.074810082967e-14 
+SNES Object: 16 MPI processes
+  type: newtonls
+  maximum iterations=50, maximum function evaluations=10000
+  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
+  total number of linear solver iterations=20
+  total number of function evaluations=4
+  SNESLineSearch Object:   16 MPI processes
+    type: bt
+      interpolation: cubic
+      alpha=1.000000e-04
+    maxstep=1.000000e+08, minlambda=1.000000e-12
+    tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08
+    maximum iterations=40
+  KSP Object:   16 MPI processes
+    type: gmres
+      GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+      GMRES: happy breakdown tolerance 1e-30
+    maximum iterations=10000, initial guess is zero
+    tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+    left preconditioning
+    using PRECONDITIONED norm type for convergence test
+  PC Object:   16 MPI processes
+    type: mg
+      MG: type is MULTIPLICATIVE, levels=7 cycles=v
+        Cycles per PCApply=1
+        Not using Galerkin computed coarse grid matrices
+    Coarse grid solver -- level -------------------------------
+      KSP Object:      (mg_coarse_)       16 MPI processes
+        type: preonly
+        maximum iterations=1, initial guess is zero
+        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+        left preconditioning
+        using NONE norm type for convergence test
+      PC Object:      (mg_coarse_)       16 MPI processes
+        type: redundant
+          Redundant preconditioner: First (color=0) of 16 PCs follows
+        KSP Object:        (mg_coarse_redundant_)         1 MPI processes
+          type: preonly
+          maximum iterations=10000, initial guess is zero
+          tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+          left preconditioning
+          using NONE norm type for convergence test
+        PC Object:        (mg_coarse_redundant_)         1 MPI processes
+          type: lu
+            LU: out-of-place factorization
+            tolerance for zero pivot 2.22045e-14
+            using diagonal shift on blocks to prevent zero pivot
+            matrix ordering: nd
+            factor fill ratio given 5, needed 1.875
+              Factored matrix follows:
+                Matrix Object:                 1 MPI processes
+                  type: seqaij
+                  rows=64, cols=64, bs=4
+                  package used to perform factorization: petsc
+                  total: nonzeros=1920, allocated nonzeros=1920
+                  total number of mallocs used during MatSetValues calls =0
+                    using I-node routines: found 16 nodes, limit used is 5
+          linear system matrix = precond matrix:
+          Matrix Object:           1 MPI processes
+            type: seqaij
+            rows=64, cols=64, bs=4
+            total: nonzeros=1024, allocated nonzeros=1280
+            total number of mallocs used during MatSetValues calls =0
+              using I-node routines: found 16 nodes, limit used is 5
+        linear system matrix = precond matrix:
+        Matrix Object:         16 MPI processes
+          type: mpiaij
+          rows=64, cols=64, bs=4
+          total: nonzeros=1024, allocated nonzeros=1024
+          total number of mallocs used during MatSetValues calls =0
+    Down solver (pre-smoother) on level 1 -------------------------------
+      KSP Object:      (mg_levels_1_)       16 MPI processes
+        type: chebyshev
+          Chebyshev: eigenvalue estimates:  min = 0.160898, max = 1.76988
+          Chebyshev: estimated using:  [0 0.1; 0 1.1]
+          KSP Object:          (mg_levels_1_est_)           16 MPI processes
+            type: gmres
+              GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+              GMRES: happy breakdown tolerance 1e-30
+            maximum iterations=10
+            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+            left preconditioning
+            using nonzero initial guess
+            using NONE norm type for convergence test
+          PC Object:          (mg_levels_1_)           16 MPI processes
+            type: sor
+              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+            linear system matrix = precond matrix:
+            Matrix Object:             16 MPI processes
+              type: mpiaij
+              rows=196, cols=196, bs=4
+              total: nonzeros=3472, allocated nonzeros=3472
+              total number of mallocs used during MatSetValues calls =0
+        maximum iterations=2
+        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+        left preconditioning
+        using nonzero initial guess
+        using NONE norm type for convergence test
+      PC Object:      (mg_levels_1_)       16 MPI processes
+        type: sor
+          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+        linear system matrix = precond matrix:
+        Matrix Object:         16 MPI processes
+          type: mpiaij
+          rows=196, cols=196, bs=4
+          total: nonzeros=3472, allocated nonzeros=3472
+          total number of mallocs used during MatSetValues calls =0
+    Up solver (post-smoother) same as down solver (pre-smoother)
+    Down solver (pre-smoother) on level 2 -------------------------------
+      KSP Object:      (mg_levels_2_)       16 MPI processes
+        type: chebyshev
+          Chebyshev: eigenvalue estimates:  min = 0.151703, max = 1.66873
+          Chebyshev: estimated using:  [0 0.1; 0 1.1]
+          KSP Object:          (mg_levels_2_est_)           16 MPI processes
+            type: gmres
+              GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+              GMRES: happy breakdown tolerance 1e-30
+            maximum iterations=10
+            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+            left preconditioning
+            using nonzero initial guess
+            using NONE norm type for convergence test
+          PC Object:          (mg_levels_2_)           16 MPI processes
+            type: sor
+              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+            linear system matrix = precond matrix:
+            Matrix Object:             16 MPI processes
+              type: mpiaij
+              rows=676, cols=676, bs=4
+              total: nonzeros=12688, allocated nonzeros=12688
+              total number of mallocs used during MatSetValues calls =0
+        maximum iterations=2
+        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+        left preconditioning
+        using nonzero initial guess
+        using NONE norm type for convergence test
+      PC Object:      (mg_levels_2_)       16 MPI processes
+        type: sor
+          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+        linear system matrix = precond matrix:
+        Matrix Object:         16 MPI processes
+          type: mpiaij
+          rows=676, cols=676, bs=4
+          total: nonzeros=12688, allocated nonzeros=12688
+          total number of mallocs used during MatSetValues calls =0
+    Up solver (post-smoother) same as down solver (pre-smoother)
+    Down solver (pre-smoother) on level 3 -------------------------------
+      KSP Object:      (mg_levels_3_)       16 MPI processes
+        type: chebyshev
+          Chebyshev: eigenvalue estimates:  min = 0.14997, max = 1.64967
+          Chebyshev: estimated using:  [0 0.1; 0 1.1]
+          KSP Object:          (mg_levels_3_est_)           16 MPI processes
+            type: gmres
+              GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+              GMRES: happy breakdown tolerance 1e-30
+            maximum iterations=10
+            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+            left preconditioning
+            using nonzero initial guess
+            using NONE norm type for convergence test
+          PC Object:          (mg_levels_3_)           16 MPI processes
+            type: sor
+              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+            linear system matrix = precond matrix:
+            Matrix Object:             16 MPI processes
+              type: mpiaij
+              rows=2500, cols=2500, bs=4
+              total: nonzeros=48400, allocated nonzeros=48400
+              total number of mallocs used during MatSetValues calls =0
+        maximum iterations=2
+        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+        left preconditioning
+        using nonzero initial guess
+        using NONE norm type for convergence test
+      PC Object:      (mg_levels_3_)       16 MPI processes
+        type: sor
+          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+        linear system matrix = precond matrix:
+        Matrix Object:         16 MPI processes
+          type: mpiaij
+          rows=2500, cols=2500, bs=4
+          total: nonzeros=48400, allocated nonzeros=48400
+          total number of mallocs used during MatSetValues calls =0
+    Up solver (post-smoother) same as down solver (pre-smoother)
+    Down solver (pre-smoother) on level 4 -------------------------------
+      KSP Object:      (mg_levels_4_)       16 MPI processes
+        type: chebyshev
+          Chebyshev: eigenvalue estimates:  min = 0.149889, max = 1.64878
+          Chebyshev: estimated using:  [0 0.1; 0 1.1]
+          KSP Object:          (mg_levels_4_est_)           16 MPI processes
+            type: gmres
+              GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+              GMRES: happy breakdown tolerance 1e-30
+            maximum iterations=10
+            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+            left preconditioning
+            using nonzero initial guess
+            using NONE norm type for convergence test
+          PC Object:          (mg_levels_4_)           16 MPI processes
+            type: sor
+              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+            linear system matrix = precond matrix:
+            Matrix Object:             16 MPI processes
+              type: mpiaij
+              rows=9604, cols=9604, bs=4
+              total: nonzeros=188944, allocated nonzeros=188944
+              total number of mallocs used during MatSetValues calls =0
+        maximum iterations=2
+        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+        left preconditioning
+        using nonzero initial guess
+        using NONE norm type for convergence test
+      PC Object:      (mg_levels_4_)       16 MPI processes
+        type: sor
+          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+        linear system matrix = precond matrix:
+        Matrix Object:         16 MPI processes
+          type: mpiaij
+          rows=9604, cols=9604, bs=4
+          total: nonzeros=188944, allocated nonzeros=188944
+          total number of mallocs used during MatSetValues calls =0
+    Up solver (post-smoother) same as down solver (pre-smoother)
+    Down solver (pre-smoother) on level 5 -------------------------------
+      KSP Object:      (mg_levels_5_)       16 MPI processes
+        type: chebyshev
+          Chebyshev: eigenvalue estimates:  min = 0.149991, max = 1.6499
+          Chebyshev: estimated using:  [0 0.1; 0 1.1]
+          KSP Object:          (mg_levels_5_est_)           16 MPI processes
+            type: gmres
+              GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+              GMRES: happy breakdown tolerance 1e-30
+            maximum iterations=10
+            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+            left preconditioning
+            using nonzero initial guess
+            using NONE norm type for convergence test
+          PC Object:          (mg_levels_5_)           16 MPI processes
+            type: sor
+              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+            linear system matrix = precond matrix:
+            Matrix Object:             16 MPI processes
+              type: mpiaij
+              rows=37636, cols=37636, bs=4
+              total: nonzeros=746512, allocated nonzeros=746512
+              total number of mallocs used during MatSetValues calls =0
+        maximum iterations=2
+        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+        left preconditioning
+        using nonzero initial guess
+        using NONE norm type for convergence test
+      PC Object:      (mg_levels_5_)       16 MPI processes
+        type: sor
+          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+        linear system matrix = precond matrix:
+        Matrix Object:         16 MPI processes
+          type: mpiaij
+          rows=37636, cols=37636, bs=4
+          total: nonzeros=746512, allocated nonzeros=746512
+          total number of mallocs used during MatSetValues calls =0
+    Up solver (post-smoother) same as down solver (pre-smoother)
+    Down solver (pre-smoother) on level 6 -------------------------------
+      KSP Object:      (mg_levels_6_)       16 MPI processes
+        type: chebyshev
+          Chebyshev: eigenvalue estimates:  min = 0.149988, max = 1.64986
+          Chebyshev: estimated using:  [0 0.1; 0 1.1]
+          KSP Object:          (mg_levels_6_est_)           16 MPI processes
+            type: gmres
+              GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
+              GMRES: happy breakdown tolerance 1e-30
+            maximum iterations=10
+            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+            left preconditioning
+            using nonzero initial guess
+            using NONE norm type for convergence test
+          PC Object:          (mg_levels_6_)           16 MPI processes
+            type: sor
+              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
+            linear system matrix = precond matrix:
+            Matrix Object:             16 MPI processes
+              type: mpiaij
+              rows=148996, cols=148996, bs=4
+              total: nonzeros=2967568, allocated nonzeros=2967568
+              total number of mallocs used during MatSetValues calls =0
+        maximum iterations=2
+        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
+        left preconditioning
+        using nonzero initial guess
+        using NONE norm type for convergence test
+      PC Object:      (mg_levels_6_)       16 MPI processes