xref: /petsc/src/snes/tutorials/output/ex56_1.out (revision e0b7e82fd3cf27fce84cc3e37e8d70a5c36a2d4e)

    Linear solve converged due to CONVERGED_RTOL iterations 5
SNES Object: 4 MPI processes
  type: ksponly
  maximum iterations=1, maximum function evaluations=10000
  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
  total number of linear solver iterations=5
  total number of function evaluations=1
  norm schedule ALWAYS
  Jacobian is never rebuilt
  KSP Object: 4 MPI processes
    type: cg
    maximum iterations=100, initial guess is zero
    tolerances: relative=1e-10, absolute=1e-50, divergence=10000.
    left preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object: 4 MPI processes
    type: gamg
      type is MULTIPLICATIVE, levels=2 cycles=v
        Cycles per PCApply=1
        Using externally compute Galerkin coarse grid matrices
        GAMG specific options
          Threshold for dropping small values in graph on each level =     0.001     0.001
          Threshold scaling factor for each level not specified = 1.
          Using aggregates made with 3 applications of heavy edge matching (HEM) to define subdomains for PCASM
          MatCoarsen Object: 4 MPI processes
            type: hem
            3 matching steps with threshold = 0.
          AGG specific options
            Number of levels of aggressive coarsening 1
            Square graph aggressive coarsening
            MatCoarsen Object: (pc_gamg_) 4 MPI processes
              type: mis
            Number smoothing steps to construct prolongation 1
          Complexity:    grid = 1.11111    operator = 1.02041
    Coarse grid solver -- level 0 -------------------------------
      KSP Object: (mg_coarse_) 4 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_) 4 MPI processes
        type: bjacobi
          number of blocks = 4
          Local solver information for first block is in the following KSP and PC objects on rank 0:
          Use -mg_coarse_ksp_view ::ascii_info_detail to display information for all blocks
          KSP Object: (mg_coarse_sub_) 1 MPI process
            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_sub_) 1 MPI process
            type: lu
              out-of-place factorization
              tolerance for zero pivot 2.22045e-14
              using diagonal shift on blocks to prevent zero pivot [INBLOCKS]
              matrix ordering: nd
              factor fill ratio given 1., needed 1.
                Factored matrix follows:
                  Mat Object: (mg_coarse_sub_) 1 MPI process
                    type: seqaij
                    rows=1, cols=1
                    package used to perform factorization: petsc
                    total: nonzeros=1, allocated nonzeros=1
                      not using I-node routines
            linear system matrix = precond matrix:
            Mat Object: (mg_coarse_sub_) 1 MPI process
              type: seqaij
              rows=1, cols=1
              total: nonzeros=1, allocated nonzeros=1
              total number of mallocs used during MatSetValues calls=0
                not using I-node routines
        linear system matrix = precond matrix:
        Mat Object: 4 MPI processes
          type: mpiaij
          rows=1, cols=1
          total: nonzeros=1, allocated nonzeros=1
          total number of mallocs used during MatSetValues calls=0
            not using I-node (on process 0) routines
    Down solver (pre-smoother) on level 1 -------------------------------
      KSP Object: (mg_levels_1_) 4 MPI processes
        type: chebyshev
          Chebyshev polynomial of first kind
          eigenvalue targets used: min 0.260428, max 1.43236
          eigenvalues provided (min 0.413297, max 1.30214) with transform: [0. 0.2; 0. 1.1]
        maximum iterations=2, nonzero initial guess
        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
        left preconditioning
        using NONE norm type for convergence test
      PC Object: (mg_levels_1_) 4 MPI processes
        type: jacobi
          type DIAGONAL
        linear system matrix = precond matrix:
        Mat Object: 4 MPI processes
          type: mpiaij
          rows=9, cols=9
          total: nonzeros=49, allocated nonzeros=49
          total number of mallocs used during MatSetValues calls=0
            not using I-node (on process 0) routines
    Up solver (post-smoother) same as down solver (pre-smoother)
    linear system matrix = precond matrix:
    Mat Object: 4 MPI processes
      type: mpiaij
      rows=9, cols=9
      total: nonzeros=49, allocated nonzeros=49
      total number of mallocs used during MatSetValues calls=0
        not using I-node (on process 0) routines
DM Object: box 4 MPI processes
  type: plex
box in 3 dimensions:
  Number of 0-cells per rank: 8 8 8 8
  Number of 1-cells per rank: 12 12 12 12
  Number of 2-cells per rank: 6 6 6 6
  Number of 3-cells per rank: 1 1 1 1
Labels:
  depth: 4 strata with value/size (0 (8), 1 (12), 2 (6), 3 (1))
  marker: 1 strata with value/size (1 (23))
  Face Sets: 4 strata with value/size (1 (1), 2 (1), 3 (1), 6 (1))
  celltype: 4 strata with value/size (0 (8), 1 (12), 4 (6), 7 (1))
  boundary: 1 strata with value/size (1 (23))
Field deformation:
  adjacency FEM
DM Object: Mesh 4 MPI processes
  type: plex
Mesh in 3 dimensions:
  Number of 0-cells per rank: 27 27 27 27
  Number of 1-cells per rank: 54 54 54 54
  Number of 2-cells per rank: 36 36 36 36
  Number of 3-cells per rank: 8 8 8 8
Labels:
  celltype: 4 strata with value/size (0 (27), 1 (54), 4 (36), 7 (8))
  depth: 4 strata with value/size (0 (27), 1 (54), 2 (36), 3 (8))
  marker: 1 strata with value/size (1 (77))
  Face Sets: 4 strata with value/size (1 (9), 2 (9), 3 (9), 6 (9))
  boundary: 1 strata with value/size (1 (77))
Field deformation:
  adjacency FEM
    Linear solve converged due to CONVERGED_RTOL iterations 8
SNES Object: 4 MPI processes
  type: ksponly
  maximum iterations=1, maximum function evaluations=10000
  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
  total number of linear solver iterations=8
  total number of function evaluations=1
  norm schedule ALWAYS
  Jacobian is never rebuilt
  KSP Object: 4 MPI processes
    type: cg
    maximum iterations=100, initial guess is zero
    tolerances: relative=1e-10, absolute=1e-50, divergence=10000.
    left preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object: 4 MPI processes
    type: gamg
      type is MULTIPLICATIVE, levels=2 cycles=v
        Cycles per PCApply=1
        Using externally compute Galerkin coarse grid matrices
        GAMG specific options
          Threshold for dropping small values in graph on each level =     0.001     0.001
          Threshold scaling factor for each level not specified = 1.
          Using aggregates made with 3 applications of heavy edge matching (HEM) to define subdomains for PCASM
          MatCoarsen Object: 4 MPI processes
            type: hem
            3 matching steps with threshold = 0.
          AGG specific options
            Number of levels of aggressive coarsening 1
            Square graph aggressive coarsening
            MatCoarsen Object: (pc_gamg_) 4 MPI processes
              type: mis
            Number smoothing steps to construct prolongation 1
          Complexity:    grid = 1.02721    operator = 1.00432
    Coarse grid solver -- level 0 -------------------------------
      KSP Object: (mg_coarse_) 4 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_) 4 MPI processes
        type: bjacobi
          number of blocks = 4
          Local solver information for first block is in the following KSP and PC objects on rank 0:
          Use -mg_coarse_ksp_view ::ascii_info_detail to display information for all blocks
          KSP Object: (mg_coarse_sub_) 1 MPI process
            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_sub_) 1 MPI process
            type: lu
              out-of-place factorization
              tolerance for zero pivot 2.22045e-14
              using diagonal shift on blocks to prevent zero pivot [INBLOCKS]
              matrix ordering: nd
              factor fill ratio given 5., needed 1.
                Factored matrix follows:
                  Mat Object: (mg_coarse_sub_) 1 MPI process
                    type: seqaij
                    rows=4, cols=4
                    package used to perform factorization: petsc
                    total: nonzeros=16, allocated nonzeros=16
                      using I-node routines: found 1 nodes, limit used is 5
            linear system matrix = precond matrix:
            Mat Object: (mg_coarse_sub_) 1 MPI process
              type: seqaij
              rows=4, cols=4
              total: nonzeros=16, allocated nonzeros=16
              total number of mallocs used during MatSetValues calls=0
                using I-node routines: found 1 nodes, limit used is 5
        linear system matrix = precond matrix:
        Mat Object: 4 MPI processes
          type: mpiaij
          rows=4, cols=4
          total: nonzeros=16, allocated nonzeros=16
          total number of mallocs used during MatSetValues calls=0
            using I-node (on process 0) routines: found 1 nodes, limit used is 5
    Down solver (pre-smoother) on level 1 -------------------------------
      KSP Object: (mg_levels_1_) 4 MPI processes
        type: chebyshev
          Chebyshev polynomial of first kind
          eigenvalue targets used: min 0.327489, max 1.80119
          eigenvalues provided (min 0.133814, max 1.63744) with transform: [0. 0.2; 0. 1.1]
        maximum iterations=2, nonzero initial guess
        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
        left preconditioning
        using NONE norm type for convergence test
      PC Object: (mg_levels_1_) 4 MPI processes
        type: jacobi
          type DIAGONAL
        linear system matrix = precond matrix:
        Mat Object: 4 MPI processes
          type: mpiaij
          rows=147, cols=147
          total: nonzeros=3703, allocated nonzeros=3703
          total number of mallocs used during MatSetValues calls=0
            not using I-node (on process 0) routines
    Up solver (post-smoother) same as down solver (pre-smoother)
    linear system matrix = precond matrix:
    Mat Object: 4 MPI processes
      type: mpiaij
      rows=147, cols=147
      total: nonzeros=3703, allocated nonzeros=3703
      total number of mallocs used during MatSetValues calls=0
        not using I-node (on process 0) routines
[0] 0) N=           9, max displ=2.5713786e+01, error=9.564e+00
[0] 1) N=         147, max displ=3.1758769e+01, disp diff= 6.04e+00, error=3.519e+00, rate=1.4