Level 0 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements   4 x   4 x   2 (      32), size (m) 20000 x 20000 x 1000
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
        Linear solve converged due to CONVERGED_RTOL iterations 1
      Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 9
Level 1 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements   8 x   8 x   2 (     128), size (m) 10000 x 10000 x 1000
Level 0 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements   4 x   4 x   2 (      32), size (m) 20000 x 20000 x 1000
      Linear solve converged due to CONVERGED_RTOL iterations 4
      Linear solve converged due to CONVERGED_RTOL iterations 5
      Linear solve converged due to CONVERGED_RTOL iterations 5
      Linear solve converged due to CONVERGED_RTOL iterations 6
      Linear solve converged due to CONVERGED_RTOL iterations 6
      Linear solve converged due to CONVERGED_RTOL iterations 5
      Linear solve converged due to CONVERGED_RTOL iterations 6
      Linear solve converged due to CONVERGED_RTOL iterations 7
    Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 8
Level 2 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements  16 x  16 x   2 (     512), size (m) 5000 x 5000 x 1000
Level 1 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements   8 x   8 x   2 (     128), size (m) 10000 x 10000 x 1000
Level 0 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements   4 x   4 x   2 (      32), size (m) 20000 x 20000 x 1000
    Linear solve converged due to CONVERGED_RTOL iterations 6
    Linear solve converged due to CONVERGED_RTOL iterations 7
    Linear solve converged due to CONVERGED_RTOL iterations 7
    Linear solve converged due to CONVERGED_RTOL iterations 6
    Linear solve converged due to CONVERGED_RTOL iterations 3
    Linear solve converged due to CONVERGED_RTOL iterations 3
    Linear solve converged due to CONVERGED_RTOL iterations 4
    Linear solve converged due to CONVERGED_RTOL iterations 4
    Linear solve converged due to CONVERGED_RTOL iterations 6
    Linear solve converged due to CONVERGED_RTOL iterations 5
  Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 10
Level 3 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements  16 x  16 x   4 (    1024), size (m) 5000 x 5000 x 333.333
Level 2 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements  16 x  16 x   2 (     512), size (m) 5000 x 5000 x 1000
Level 1 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements   8 x   8 x   2 (     128), size (m) 10000 x 10000 x 1000
Level 0 domain size (m)    8e+04 x    8e+04 x    1e+03, num elements   4 x   4 x   2 (      32), size (m) 20000 x 20000 x 1000
  Linear solve converged due to CONVERGED_RTOL iterations 2
  Linear solve converged due to CONVERGED_RTOL iterations 3
  Linear solve converged due to CONVERGED_RTOL iterations 4
  Linear solve converged due to CONVERGED_RTOL iterations 6
  Linear solve converged due to CONVERGED_RTOL iterations 6
Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 5
SNES Object: 6 MPI processes
  type: newtonls
  maximum iterations=50, maximum function evaluations=10000
  tolerances: relative=1e-08, absolute=1e-50, solution=1e-12
  total number of linear solver iterations=21
  total number of function evaluations=6
  total number of grid sequence refinements=3
  SNESLineSearch Object:   6 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:   6 MPI processes
    type: fgmres
      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=0.01, absolute=1e-50, divergence=10000
    right preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object:   6 MPI processes
    type: mg
      MG: type is MULTIPLICATIVE, levels=4 cycles=v
        Cycles per PCApply=1
        Not using Galerkin computed coarse grid matrices
    Coarse grid solver -- level -------------------------------
      KSP Object:      (mg_coarse_)       6 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_)       6 MPI processes
        type: redundant
          Redundant preconditioner: First (color=0) of 6 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 1.41667
              Factored matrix follows:
                Matrix Object:                 1 MPI processes
                  type: seqaij
                  rows=64, cols=64, bs=2
                  package used to perform factorization: petsc
                  total: nonzeros=3264, allocated nonzeros=3264
                  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=2
            total: nonzeros=2304, allocated nonzeros=2304
            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:         6 MPI processes
          type: mpiaij
          rows=64, cols=64, bs=2
          total: nonzeros=2304, allocated nonzeros=2304
          total number of mallocs used during MatSetValues calls =0
    Down solver (pre-smoother) on level 1 -------------------------------
      KSP Object:      (mg_levels_1_)       6 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=1
        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_)       6 MPI processes
        type: bjacobi
          block Jacobi: number of blocks = 6
          Local solve is same for all blocks, in the following KSP and PC objects:
        KSP Object:        (mg_levels_1_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:        (mg_levels_1_sub_)         1 MPI processes
          type: cholesky
            Cholesky: out-of-place factorization
            tolerance for zero pivot 2.22045e-14
            matrix ordering: natural
            factor fill ratio given 5, needed 1.32237
              Factored matrix follows:
                Matrix Object:                 1 MPI processes
                  type: seqsbaij
                  rows=48, cols=48, bs=2
                  package used to perform factorization: petsc
                  total: nonzeros=804, allocated nonzeros=804
                  total number of mallocs used during MatSetValues calls =0
                      block size is 2
          linear system matrix = precond matrix:
          Matrix Object:           1 MPI processes
            type: seqsbaij
            rows=48, cols=48, bs=2
            total: nonzeros=608, allocated nonzeros=608
            total number of mallocs used during MatSetValues calls =0
                block size is 2
        linear system matrix = precond matrix:
        Matrix Object:         6 MPI processes
          type: mpisbaij
          rows=256, cols=256, bs=2
          total: nonzeros=4864, allocated nonzeros=4864
          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_)       6 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=1
        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_)       6 MPI processes
        type: bjacobi
          block Jacobi: number of blocks = 6
          Local solve is same for all blocks, in the following KSP and PC objects:
        KSP Object:        (mg_levels_2_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:        (mg_levels_2_sub_)         1 MPI processes
          type: icc
            0 levels of fill
            tolerance for zero pivot 2.22045e-14
            using Manteuffel shift
            matrix ordering: natural
            factor fill ratio given 1, needed 1.00133
              Factored matrix follows:
                Matrix Object:                 1 MPI processes
                  type: seqsbaij
                  rows=192, cols=192, bs=2
                  package used to perform factorization: petsc
                  total: nonzeros=3012, allocated nonzeros=3012
                  total number of mallocs used during MatSetValues calls =0
                      block size is 2
          linear system matrix = precond matrix:
          Matrix Object:           1 MPI processes
            type: seqsbaij
            rows=192, cols=192, bs=2
            total: nonzeros=3008, allocated nonzeros=3008
            total number of mallocs used during MatSetValues calls =0
                block size is 2
        linear system matrix = precond matrix:
        Matrix Object:         6 MPI processes
          type: mpisbaij
          rows=1024, cols=1024, bs=2
          total: nonzeros=19456, allocated nonzeros=19456
          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_)       6 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=1
        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_)       6 MPI processes
        type: bjacobi
          block Jacobi: number of blocks = 6
          Local solve is same for all blocks, in the following KSP and PC objects:
        KSP Object:        (mg_levels_3_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:        (mg_levels_3_sub_)         1 MPI processes
          type: icc
            0 levels of fill
            tolerance for zero pivot 2.22045e-14
            using Manteuffel shift
            matrix ordering: natural
            factor fill ratio given 1, needed 1.00054
              Factored matrix follows:
                Matrix Object:                 1 MPI processes
                  type: seqsbaij
                  rows=384, cols=384, bs=2
                  package used to perform factorization: petsc
                  total: nonzeros=7428, allocated nonzeros=7428
                  total number of mallocs used during MatSetValues calls =0
                      block size is 2
          linear system matrix = precond matrix:
          Matrix Object:           1 MPI processes
            type: seqsbaij
            rows=384, cols=384, bs=2
            total: nonzeros=7424, allocated nonzeros=7424
            total number of mallocs used during MatSetValues calls =0
                block size is 2
        linear system matrix = precond matrix:
        Matrix Object:         6 MPI processes
          type: mpisbaij
          rows=2048, cols=2048, bs=2
          total: nonzeros=48128, allocated nonzeros=48128
          total number of mallocs used during MatSetValues calls =0
    Up solver (post-smoother) same as down solver (pre-smoother)
    linear system matrix = precond matrix:
    Matrix Object:     6 MPI processes
      type: mpisbaij
      rows=2048, cols=2048, bs=2
      total: nonzeros=48128, allocated nonzeros=48128
      total number of mallocs used during MatSetValues calls =0
Solution statistics after solve: Full
CONVERGED_FNORM_RELATIVE: Number of SNES iterations = 5, total linear iterations = 21
|X|_2 564267   -187.04 <= u <=  23814.8   -979.938 <= v <=  5720.23   3.24766 <= c <=  23904.5 
Surface statistics: u in [-6.945709e+01, 2.381387e+04] mean 1.520632e+04
Global eta range   2.50736e+09 to 9.2273e+12 converged range 2.50736e+09 to 3.8249e+10
Global beta2 range 0 to 4.97763e+09 converged range 0 to 4.97763e+09
