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
    Corner selection: 1 (selected 1)
    Use vertices: 1 (vertex size 3)
    Use edges: 1
    Use faces: 1
    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: 1
    Interface extension: DIRICHLET
    Multilevel max levels: 2
    Multilevel coarsening ratio: 2
    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 159
    Coarsening ratios: all/coarse 13 interface/coarse 4
    Active processes : 8
    Total subdomains : 8
    Dofs type        :	MIN	MAX	MEAN
    Interior  dofs   :	144	240	189
    Interface dofs   :	156	210	182
    Primal    dofs   :	54	54	54
    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: (pc_bddc_dirichlet_) 1 MPI processes
      type: lu
        out-of-place factorization
        tolerance for zero pivot 2.22045e-14
        matrix ordering: nd
        factor fill ratio given 5., needed 1.55143
          Factored matrix follows:
            Mat Object: 1 MPI processes
              type: seqaij
              rows=144, cols=144, bs=3
              package used to perform factorization: petsc
              total: nonzeros=9774, allocated nonzeros=9774
                using I-node routines: found 45 nodes, limit used is 5
      linear system matrix = precond matrix:
      Mat Object: (pc_bddc_dirichlet_) 1 MPI processes
        type: seqaij
        rows=144, cols=144, bs=3
        total: nonzeros=6300, allocated nonzeros=6300
        total number of mallocs used during MatSetValues calls=0
          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: (pc_bddc_neumann_) 1 MPI processes
      type: lu
        out-of-place factorization
        tolerance for zero pivot 2.22045e-14
        matrix ordering: nd
        factor fill ratio given 5., needed 2.16719
          Factored matrix follows:
            Mat Object: 1 MPI processes
              type: seqaij
              rows=279, cols=279, bs=3
              package used to perform factorization: petsc
              total: nonzeros=30915, allocated nonzeros=30915
                using I-node routines: found 85 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
          using I-node routines: found 93 nodes, limit used is 5
  --- Coarse solver
    KSP Object: (pc_bddc_coarse_) 8 MPI processes
      type: richardson
        damping factor=1.
      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: bddc
        Use verbose output: 0
        Use user-defined CSR: 0
        Use local mat graph: 1
        Connectivity graph topological dimension: 3
        Corner selection: 1 (selected 1)
        Use vertices: 1 (vertex size 1)
        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: 2
        Multilevel coarsening ratio: 2
        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: 1 (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 1 **********************************
        Global dofs sizes: all 159 interface 123 coarse 31
        Coarsening ratios: all/coarse 5 interface/coarse 3
        Active processes : 4
        Total subdomains : 4
        Dofs type        :	MIN	MAX	MEAN
        Interior  dofs   :	9	9	9
        Interface dofs   :	71	71	71
        Primal    dofs   :	19	19	19
        Local     dofs   :	80	80	80
        Local     subs   :	1	1
        --- Interior solver (rank 0)
          KSP Object:   (pc_bddc_dirichlet_l1_)   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_l1_)   1 MPI processes
            type: lu
              out-of-place factorization
              tolerance for zero pivot 2.22045e-14
              matrix ordering: nd
              factor fill ratio given 5., needed 1.
                Factored matrix follows:
                  Mat Object:   1 MPI processes
                    type: seqaij
                    rows=9, cols=9
                    package used to perform factorization: petsc
                    total: nonzeros=81, allocated nonzeros=81
                      using I-node routines: found 2 nodes, limit used is 5
            linear system matrix = precond matrix:
            Mat Object:   (pc_bddc_dirichlet_l1_)   1 MPI processes
              type: seqaij
              rows=9, cols=9
              total: nonzeros=81, allocated nonzeros=81
              total number of mallocs used during MatSetValues calls=0
                using I-node routines: found 2 nodes, limit used is 5
        --- Correction solver (rank 0)
          KSP Object:   (pc_bddc_neumann_l1_)   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_l1_)   1 MPI processes
            type: lu
              out-of-place factorization
              tolerance for zero pivot 2.22045e-14
              matrix ordering: nd
              factor fill ratio given 5., needed 1.
                Factored matrix follows:
                  Mat Object:   1 MPI processes
                    type: seqaij
                    rows=62, cols=62
                    package used to perform factorization: petsc
                    total: nonzeros=3266, allocated nonzeros=3266
                      using I-node routines: found 14 nodes, limit used is 5
            linear system matrix = precond matrix:
            Mat Object:   (pc_bddc_neumann_l1_)   1 MPI processes
              type: seqaij
              rows=62, cols=62
              total: nonzeros=3266, allocated nonzeros=3266
              total number of mallocs used during MatSetValues calls=0
                using I-node routines: found 16 nodes, limit used is 5
        --- Coarse solver
          KSP Object:   (pc_bddc_coarse_l1_)   4 MPI processes
            type: richardson
              damping factor=1.
            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_l1_)   4 MPI processes
            type: bddc
              Use verbose output: 0
              Use user-defined CSR: 0
              Use local mat graph: 1
              Connectivity graph topological dimension: 2
              Corner selection: 1 (selected 1)
              Use vertices: 1 (vertex size 1)
              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: 2
              Multilevel coarsening ratio: 2
              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: 1 (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 2 **********************************
              Global dofs sizes: all 31 interface 19 coarse 13
              Coarsening ratios: all/coarse 2 interface/coarse 1
              Active processes : 2
              Total subdomains : 2
              Dofs type        :	MIN	MAX	MEAN
              Interior  dofs   :	6	6	6
              Interface dofs   :	19	19	19
              Primal    dofs   :	13	13	13
              Local     dofs   :	25	25	25
              Local     subs   :	1	1
                  --- Interior solver (rank 0)
                    KSP Object:         (pc_bddc_dirichlet_l2_)         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_l2_)         1 MPI processes
                      type: lu
                        out-of-place factorization
                        tolerance for zero pivot 2.22045e-14
                        matrix ordering: nd
                        factor fill ratio given 5., needed 1.
                          Factored matrix follows:
                            Mat Object:         1 MPI processes
                              type: seqaij
                              rows=6, cols=6
                              package used to perform factorization: petsc
                              total: nonzeros=36, allocated nonzeros=36
                                using I-node routines: found 2 nodes, limit used is 5
                      linear system matrix = precond matrix:
                      Mat Object:         (pc_bddc_dirichlet_l2_)         1 MPI processes
                        type: seqaij
                        rows=6, cols=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
                  --- Correction solver (rank 0)
                    KSP Object:         (pc_bddc_neumann_l2_)         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_l2_)         1 MPI processes
                      type: lu
                        out-of-place factorization
                        tolerance for zero pivot 2.22045e-14
                        matrix ordering: nd
                        factor fill ratio given 5., needed 1.
                          Factored matrix follows:
                            Mat Object:         1 MPI processes
                              type: seqaij
                              rows=13, cols=13
                              package used to perform factorization: petsc
                              total: nonzeros=169, allocated nonzeros=169
                                using I-node routines: found 3 nodes, limit used is 5
                      linear system matrix = precond matrix:
                      Mat Object:         (pc_bddc_neumann_l2_)         1 MPI processes
                        type: seqaij
                        rows=13, cols=13
                        total: nonzeros=169, allocated nonzeros=169
                        total number of mallocs used during MatSetValues calls=0
                          using I-node routines: found 3 nodes, limit used is 5
                  --- Coarse solver
                    KSP Object:         (pc_bddc_coarse_l2_)         2 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_l2_)         2 MPI processes
                      type: redundant
                        First (color=0) of 2 PCs follows
                      linear system matrix = precond matrix:
                      Mat Object:         (pc_bddc_coarse_l2_)         2 MPI processes
                        type: mpiaij
                        rows=13, cols=13
                        total: nonzeros=169, allocated nonzeros=169
                        total number of mallocs used during MatSetValues calls=0
                          using I-node (on process 0) routines: found 2 nodes, limit used is 5
                                  KSP Object:                   (pc_bddc_coarse_l2_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_l2_redundant_)                   1 MPI processes
                                    type: lu
                                      out-of-place factorization
                                      tolerance for zero pivot 2.22045e-14
                                      matrix ordering: nd
                                      factor fill ratio given 5., needed 1.
                                        Factored matrix follows:
                                          Mat Object:                   1 MPI processes
                                            type: seqaij
                                            rows=13, cols=13
                                            package used to perform factorization: petsc
                                            total: nonzeros=169, allocated nonzeros=169
                                              using I-node routines: found 3 nodes, limit used is 5
                                    linear system matrix = precond matrix:
                                    Mat Object:                   1 MPI processes
                                      type: seqaij
                                      rows=13, cols=13
                                      total: nonzeros=169, allocated nonzeros=169
                                      total number of mallocs used during MatSetValues calls=0
                                        using I-node routines: found 3 nodes, limit used is 5
            linear system matrix = precond matrix:
            Mat Object:   (pc_bddc_coarse_l1_)   4 MPI processes
              type: is
              rows=31, cols=31
              total: nonzeros=1106, allocated nonzeros=1106
              total number of mallocs used during MatSetValues calls=0
      linear system matrix = precond matrix:
      Mat Object: (pc_bddc_coarse_) 8 MPI processes
        type: is
        rows=159, cols=159
        total: nonzeros=20192, allocated nonzeros=20192
        total number of mallocs used during MatSetValues calls=0
  linear system matrix = precond matrix:
  Mat Object: 8 MPI processes
    type: is
    rows=2160, cols=2160, bs=3
    total: nonzeros=156078, allocated nonzeros=156078
    total number of mallocs used during MatSetValues calls=0
      has attached near null space
