KSP Object: (physical_) 4 MPI processes
  type: cg
  maximum iterations=10, initial guess is zero
  tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
  left preconditioning
  using PRECONDITIONED norm type for convergence test
PC Object: (physical_) 4 MPI processes
  type: bddc
    Use verbose output: 0
    Use user-defined CSR: 1
    Use local mat graph: 0
    Connectivity graph topological dimension: 2
    Corner selection: 0 (selected 0)
    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: 1
    Interface extension: DIRICHLET
    Multilevel max levels: 1
    Multilevel coarsening ratio: 1
    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 342 interface 36 coarse 9
    Coarsening ratios: all/coarse 38 interface/coarse 4
    Active processes : 4
    Total subdomains : 4
    Dofs type        :	MIN	MAX	MEAN
    Interior  dofs   :	72	81	76
    Interface dofs   :	18	19	18
    Primal    dofs   :	5	5	5
    Local     dofs   :	90	100	95
    Local     subs   :	1	1
  --- Interior solver (rank 0)
    KSP Object: (physical_pc_bddc_dirichlet_) 1 MPI process
      type: preonly
      maximum iterations=10000, initial guess is zero
      tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
      left preconditioning
      not checking for convergence
    PC Object: (physical_pc_bddc_dirichlet_) 1 MPI process
      type: cholesky
        out-of-place factorization
        tolerance for zero pivot 2.22045e-14
        matrix ordering: natural
        factor fill ratio given 5., needed 3.48
          Factored matrix:
            Mat Object: (physical_pc_bddc_dirichlet_) 1 MPI process
              type: seqsbaij
              rows=72, cols=72
              package used to perform factorization: petsc
              total: nonzeros=1044, allocated nonzeros=1044
      linear system matrix, which is also used to construct the preconditioner:
      Mat Object: (physical_pc_bddc_dirichlet_) 1 MPI process
        type: seqsbaij
        rows=72, cols=72
        total: nonzeros=300, allocated nonzeros=300
        total number of mallocs used during MatSetValues calls=0
  --- Correction solver (rank 0)
    KSP Object: (physical_pc_bddc_neumann_) 1 MPI process
      type: preonly
      maximum iterations=1000, initial guess is zero
      tolerances: relative=1e-10, absolute=1e-10, divergence=10000.
      left preconditioning
      not checking for convergence
    PC Object: (physical_pc_bddc_neumann_) 1 MPI process
      type: lu
        out-of-place factorization
        tolerance for zero pivot 2.22045e-14
        matrix ordering: nd
        factor fill ratio given 5., needed 2.86706
          Factored matrix:
            Mat Object: (physical_pc_bddc_neumann_) 1 MPI process
              type: seqaij
              rows=87, cols=87
              package used to perform factorization: petsc
              total: nonzeros=1941, allocated nonzeros=1941
                not using I-node routines
      linear system matrix, which is also used to construct the preconditioner:
      Mat Object: (physical_pc_bddc_neumann_) 1 MPI process
        type: seqaij
        rows=87, cols=87
        total: nonzeros=677, allocated nonzeros=677
        total number of mallocs used during MatSetValues calls=0
          not using I-node routines
  --- Coarse solver
    KSP Object: (physical_pc_bddc_coarse_) 4 MPI processes
      type: richardson
        damping factor=1.
      maximum iterations=1000, initial guess is zero
      tolerances: relative=1e-10, absolute=1e-10, divergence=10000.
      left preconditioning
      using PRECONDITIONED norm type for convergence test
    PC Object: (physical_pc_bddc_coarse_) 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: 0 (selected 0)
        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: 1
        Multilevel coarsening ratio: 1
        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 9 interface 9 coarse 8
        Coarsening ratios: all/coarse 1 interface/coarse 1
        Active processes : 4
        Total subdomains : 4
        Dofs type        :	MIN	MAX	MEAN
        Interior  dofs   :	0	0	0
        Interface dofs   :	5	5	5
        Primal    dofs   :	4	5	4
        Local     dofs   :	5	5	5
        Local     subs   :	1	1
      --- Interior solver (rank 0)
        KSP Object: (physical_pc_bddc_dirichlet_l1_) 1 MPI process
          type: preonly
          maximum iterations=10000, initial guess is zero
          tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
          left preconditioning
          not checking for convergence
        PC Object: (physical_pc_bddc_dirichlet_l1_) 1 MPI process
          type: none
          linear system matrix, which is also used to construct the preconditioner:
          Mat Object: (physical_pc_bddc_dirichlet_l1_) 1 MPI process
            type: seqaij
            rows=0, cols=0
            total: nonzeros=0, allocated nonzeros=0
            total number of mallocs used during MatSetValues calls=0
              not using I-node routines
      --- Correction solver (rank 0)
        KSP Object: (physical_pc_bddc_neumann_l1_) 1 MPI process
          type: preonly
          maximum iterations=10000, initial guess is zero
          tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
          left preconditioning
          not checking for convergence
        PC Object: (physical_pc_bddc_neumann_l1_) 1 MPI process
          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:
                Mat Object: (physical_pc_bddc_neumann_l1_) 1 MPI process
                  type: seqaij
                  rows=2, cols=2
                  package used to perform factorization: petsc
                  total: nonzeros=4, allocated nonzeros=4
                    using I-node routines: found 1 nodes, limit used is 5
          linear system matrix, which is also used to construct the preconditioner:
          Mat Object: (physical_pc_bddc_neumann_l1_) 1 MPI process
            type: seqaij
            rows=2, cols=2
            total: nonzeros=4, allocated nonzeros=4
            total number of mallocs used during MatSetValues calls=0
              using I-node routines: found 1 nodes, limit used is 5
      --- Coarse solver
        KSP Object: (physical_pc_bddc_coarse_l1_) 4 MPI processes
          type: preonly
          maximum iterations=1, initial guess is zero
          tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
          left preconditioning
          not checking for convergence
        PC Object: (physical_pc_bddc_coarse_l1_) 4 MPI processes
          type: redundant
            First (color=0) of 4 PCs follows
            KSP Object: (physical_pc_bddc_coarse_l1_redundant_) 1 MPI process
              type: preonly
              maximum iterations=10000, initial guess is zero
              tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
              left preconditioning
              not checking for convergence
            PC Object: (physical_pc_bddc_coarse_l1_redundant_) 1 MPI process
              type: lu
                out-of-place factorization
                tolerance for zero pivot 2.22045e-14
                matrix ordering: nd
                factor fill ratio given 5., needed 1.07692
                  Factored matrix:
                    Mat Object: (physical_pc_bddc_coarse_l1_redundant_) 1 MPI process
                      type: seqaij
                      rows=8, cols=8
                      package used to perform factorization: petsc
                      total: nonzeros=56, allocated nonzeros=56
                        using I-node routines: found 3 nodes, limit used is 5
              linear system matrix, which is also used to construct the preconditioner:
              Mat Object: 1 MPI process
                type: seqaij
                rows=8, cols=8
                total: nonzeros=52, allocated nonzeros=52
                total number of mallocs used during MatSetValues calls=0
                  using I-node routines: found 5 nodes, limit used is 5
          linear system matrix, which is also used to construct the preconditioner:
          Mat Object: (physical_pc_bddc_coarse_l1_) 4 MPI processes
            type: mpiaij
            rows=8, cols=8
            total: nonzeros=52, allocated nonzeros=52
            total number of mallocs used during MatSetValues calls=0
              using I-node (on process 0) routines: found 1 nodes, limit used is 5
      linear system matrix, which is also used to construct the preconditioner:
      Mat Object: (physical_pc_bddc_coarse_) 4 MPI processes
        type: is
        rows=9, cols=9
        total: nonzeros=100, allocated nonzeros=100
        total number of mallocs used during MatSetValues calls=0
  linear system matrix, which is also used to construct the preconditioner:
  Mat Object: 4 MPI processes
    type: is
    rows=342, cols=342
    total: nonzeros=1724, allocated nonzeros=36200
    total number of mallocs used during MatSetValues calls=0
      has attached near null space
---------------------BDDC stats-------------------------------
Number of degrees of freedom               :      342
Eigenvalues preconditioned operator        : 1.0e+00 1.3e+00
--------------------------------------------------------------
------------------FETI-DP stats-------------------------------
Number of degrees of freedom               :       31
Eigenvalues preconditioned operator        : 1.0e+00 1.3e+00
--------------------------------------------------------------
