  0 KSP Residual norm 1615.07 
  1 KSP Residual norm 420.868 
  2 KSP Residual norm 187.45 
  3 KSP Residual norm 67.3919 
  4 KSP Residual norm 21.3237 
  5 KSP Residual norm 5.8091 
  6 KSP Residual norm 1.0923 
  7 KSP Residual norm 0.527464 
  8 KSP Residual norm 0.380684 
  9 KSP Residual norm 0.0354163 
 10 KSP Residual norm 0.0237308 
 11 KSP Residual norm 0.0121289 
Linear solve converged due to CONVERGED_RTOL iterations 11
KSP Object: 8 MPI processes
  type: cg
  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: 8 MPI processes
  type: bddc
    Use verbose output: 0
    Use user-defined CSR: 0
    Use local mat graph: 1
    Connectivity graph topological dimension: 3
    Use vertices: 1 (vertex size 3)
    Use edges: 1
    Use faces: 0
    Use true near null space: 0
    Use QR for single constraints on cc: 0
    Use change of basis on local edge nodes: 0
    Use change of basis on local face nodes: 0
    User defined change of basis matrix: 0
    Has change of basis matrix: 0
    Eliminate dirichlet boundary dofs: 0
    Switch on static condensation ops around the interface preconditioner: 0
    Use exact dirichlet trick: 0
    Interface extension: DIRICHLET
    Multilevel max levels: 0
    Multilevel coarsening ratio: 8
    Use estimated eigs for coarse problem: 0
    Use deluxe scaling: 0
    Use deluxe zerorows: 0
    Use deluxe singlemat: 0
    Rebuild interface graph for Schur principal minors: 0
    Number of dofs' layers for the computation of principal minors: -1
    Use user CSR graph to compute successive layers: 0
    Adaptive constraint selection threshold (active 0, userdefined 0): 0.
    Min constraints / connected component: 0
    Max constraints / connected component: 0
    Invert exact Schur complement for adaptive selection: 0
    Symmetric computation of primal basis functions: 1
    Num. Procs. to map coarse adjacency list: 0
    Coarse eqs per proc (significant at the coarsest level): 1
    Detect disconnected: 0 (filter 0)
    Benign subspace trick: 0 (change explicit 0)
    Benign subspace trick is active: 0
    Algebraic computation of no-net-flux: 0
  ********************************** STATISTICS AT LEVEL 0 **********************************
    Global dofs sizes: all 2160 interface 648 coarse 87
    Coarsening ratios: all/coarse 24 interface/coarse 7
    Active processes : 8
    Total subdomains : 8
    Dofs type        :	MIN	MAX	MEAN
    Interior  dofs   :	144	240	189
    Interface dofs   :	156	210	182
    Primal    dofs   :	36	36	36
    Local     dofs   :	300	450	371
    Local     subs   :	1	1
  --- Interior solver (rank 0)
    KSP Object: (pc_bddc_dirichlet_) 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: 1 MPI processes
      type: shell
        Nullspace corrected interior solve
        L:
          Mat Object: 1 MPI processes
            type: seqdense
            rows=144, cols=6
            total: nonzeros=864, allocated nonzeros=864
            total number of mallocs used during MatSetValues calls=0
        K:
          Mat Object: 1 MPI processes
            type: seqdense
            rows=144, cols=6
            total: nonzeros=864, allocated nonzeros=864
            total number of mallocs used during MatSetValues calls=0
        inner preconditioner:
          PC Object: (pc_bddc_dirichlet_) 1 MPI processes
            type: ml
              type is MULTIPLICATIVE, levels=3 cycles=v
                Cycles per PCApply=1
                Using externally compute Galerkin coarse grid matrices
            Coarse grid solver -- level -------------------------------
              KSP Object: (pc_bddc_dirichlet_mg_coarse_) 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: (pc_bddc_dirichlet_mg_coarse_) 1 MPI processes
                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: 1 MPI processes
                        type: seqaij
                        rows=6, cols=6, bs=6
                        package used to perform factorization: petsc
                        total: nonzeros=36, allocated nonzeros=36
                        total number of mallocs used during MatSetValues calls=0
                          using I-node routines: found 2 nodes, limit used is 5
                linear system matrix = precond matrix:
                Mat Object: 1 MPI processes
                  type: seqaij
                  rows=6, cols=6, bs=6
                  total: nonzeros=36, allocated nonzeros=36
                  total number of mallocs used during MatSetValues calls=0
                    using I-node routines: found 2 nodes, limit used is 5
            Down solver (pre-smoother) on level 1 -------------------------------
              KSP Object: (pc_bddc_dirichlet_mg_levels_1_) 1 MPI processes
                type: richardson
                  damping factor=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: (pc_bddc_dirichlet_mg_levels_1_) 1 MPI processes
                type: sor
                  type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
                linear system matrix = precond matrix:
                Mat Object: 1 MPI processes
                  type: seqaij
                  rows=24, cols=24, bs=6
                  total: nonzeros=574, allocated nonzeros=574
                  total number of mallocs used during MatSetValues calls=0
                    using I-node routines: found 7 nodes, limit used is 5
            Up solver (post-smoother) same as down solver (pre-smoother)
            Down solver (pre-smoother) on level 2 -------------------------------
              KSP Object: (pc_bddc_dirichlet_mg_levels_2_) 1 MPI processes
                type: richardson
                  damping factor=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: (pc_bddc_dirichlet_mg_levels_2_) 1 MPI processes
                type: sor
                  type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
                linear system matrix = precond matrix:
                Mat Object: (pc_bddc_dirichlet_) 1 MPI processes
                  type: seqaij
                  rows=144, cols=144
                  total: nonzeros=6300, allocated nonzeros=6300
                  total number of mallocs used during MatSetValues calls=0
                    has attached near null space
                    using I-node routines: found 48 nodes, limit used is 5
            Up solver (post-smoother) same as down solver (pre-smoother)
            linear system matrix = precond matrix:
            Mat Object: (pc_bddc_dirichlet_) 1 MPI processes
              type: seqaij
              rows=144, cols=144
              total: nonzeros=6300, allocated nonzeros=6300
              total number of mallocs used during MatSetValues calls=0
                has attached near null space
                using I-node routines: found 48 nodes, limit used is 5
      linear system matrix = precond matrix:
      Mat Object: (pc_bddc_dirichlet_) 1 MPI processes
        type: seqaij
        rows=144, cols=144
        total: nonzeros=6300, allocated nonzeros=6300
        total number of mallocs used during MatSetValues calls=0
          has attached near null space
          using I-node routines: found 48 nodes, limit used is 5
  --- Correction solver (rank 0)
    KSP Object: (pc_bddc_neumann_) 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: 1 MPI processes
      type: shell
        Nullspace corrected correction solve
        L:
          Mat Object: 1 MPI processes
            type: seqdense
            rows=279, cols=6
            total: nonzeros=1674, allocated nonzeros=1674
            total number of mallocs used during MatSetValues calls=0
        K:
          Mat Object: 1 MPI processes
            type: seqdense
            rows=279, cols=6
            total: nonzeros=1674, allocated nonzeros=1674
            total number of mallocs used during MatSetValues calls=0
        inner preconditioner:
          PC Object: (pc_bddc_neumann_) 1 MPI processes
            type: ml
              type is MULTIPLICATIVE, levels=3 cycles=v
                Cycles per PCApply=1
                Using externally compute Galerkin coarse grid matrices
            Coarse grid solver -- level -------------------------------
              KSP Object: (pc_bddc_neumann_mg_coarse_) 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: (pc_bddc_neumann_mg_coarse_) 1 MPI processes
                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: 1 MPI processes
                        type: seqaij
                        rows=6, cols=6, bs=6
                        package used to perform factorization: petsc
                        total: nonzeros=36, allocated nonzeros=36
                        total number of mallocs used during MatSetValues calls=0
                          using I-node routines: found 2 nodes, limit used is 5
                linear system matrix = precond matrix:
                Mat Object: 1 MPI processes
                  type: seqaij
                  rows=6, cols=6, bs=6
                  total: nonzeros=36, allocated nonzeros=36
                  total number of mallocs used during MatSetValues calls=0
                    using I-node routines: found 2 nodes, limit used is 5
            Down solver (pre-smoother) on level 1 -------------------------------
              KSP Object: (pc_bddc_neumann_mg_levels_1_) 1 MPI processes
                type: richardson
                  damping factor=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: (pc_bddc_neumann_mg_levels_1_) 1 MPI processes
                type: sor
                  type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
                linear system matrix = precond matrix:
                Mat Object: 1 MPI processes
                  type: seqaij
                  rows=24, cols=24, bs=6
                  total: nonzeros=576, allocated nonzeros=576
                  total number of mallocs used during MatSetValues calls=0
                    using I-node routines: found 5 nodes, limit used is 5
            Up solver (post-smoother) same as down solver (pre-smoother)
            Down solver (pre-smoother) on level 2 -------------------------------
              KSP Object: (pc_bddc_neumann_mg_levels_2_) 1 MPI processes
                type: richardson
                  damping factor=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: (pc_bddc_neumann_mg_levels_2_) 1 MPI processes
                type: sor
                  type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
                linear system matrix = precond matrix:
                Mat Object: (pc_bddc_neumann_) 1 MPI processes
                  type: seqaij
                  rows=279, cols=279, bs=3
                  total: nonzeros=14265, allocated nonzeros=14265
                  total number of mallocs used during MatSetValues calls=0
                    has attached near null space
                    using I-node routines: found 93 nodes, limit used is 5
            Up solver (post-smoother) same as down solver (pre-smoother)
            linear system matrix = precond matrix:
            Mat Object: (pc_bddc_neumann_) 1 MPI processes
              type: seqaij
              rows=279, cols=279, bs=3
              total: nonzeros=14265, allocated nonzeros=14265
              total number of mallocs used during MatSetValues calls=0
                has attached near null space
                using I-node routines: found 93 nodes, limit used is 5
      linear system matrix = precond matrix:
      Mat Object: (pc_bddc_neumann_) 1 MPI processes
        type: seqaij
        rows=279, cols=279, bs=3
        total: nonzeros=14265, allocated nonzeros=14265
        total number of mallocs used during MatSetValues calls=0
          has attached near null space
          using I-node routines: found 93 nodes, limit used is 5
  --- Coarse solver
    KSP Object: (pc_bddc_coarse_) 8 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: (pc_bddc_coarse_) 8 MPI processes
      type: redundant
        First (color=0) of 8 PCs follows
      linear system matrix = precond matrix:
      Mat Object: (pc_bddc_coarse_) 8 MPI processes
        type: mpiaij
        rows=87, cols=87
        total: nonzeros=5277, allocated nonzeros=6796
        total number of mallocs used during MatSetValues calls=0
          using I-node (on process 0) routines: found 3 nodes, limit used is 5
          KSP Object:   (pc_bddc_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:   (pc_bddc_coarse_redundant_)   1 MPI processes
            type: svd
              All singular values smaller than 1e-12 treated as zero
              Provided essential rank of the matrix 0 (all other eigenvalues are zeroed)
            linear system matrix = precond matrix:
            Mat Object:   1 MPI processes
              type: seqaij
              rows=87, cols=87
              total: nonzeros=5277, allocated nonzeros=5277
              total number of mallocs used during MatSetValues calls=0
                using I-node routines: found 25 nodes, limit used is 5
  linear system matrix = precond matrix:
  Mat Object: 8 MPI processes
    type: is
    rows=2160, cols=2160, bs=3
    total: nonzeros=156078, allocated nonzeros=195300
    total number of mallocs used during MatSetValues calls=0
      has attached near null space
