KSP Object: (stokes_) 8 MPI processes
  type: gmres
    restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
    happy breakdown tolerance 1e-30
  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: (stokes_) 8 MPI processes
  type: mg
    type is MULTIPLICATIVE, levels=2 cycles=v
      Cycles per PCApply=1
      Using Galerkin computed coarse grid matrices for pmat
  Coarse grid solver -- level -------------------------------
    KSP Object: (stokes_mg_coarse_) 8 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: (stokes_mg_coarse_) 8 MPI processes
      type: telescope
        petsc subcomm: parent comm size reduction factor = 2
        petsc subcomm: parent_size = 8 , subcomm_size = 4
        petsc subcomm type = contiguous
        setup type: DMDA auto-repartitioning
        DMDA Object:    (stokes_mg_coarse_telescope_repart_)    4 MPI processes
          M 6 N 6 m 2 n 2 dof 3 overlap 1
        Parent DM object: type = da;
        Sub DM object: type = da; prefix = stokes_mg_coarse_telescope_repart_
        KSP Object: (stokes_mg_coarse_telescope_) 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: (stokes_mg_coarse_telescope_) 4 MPI processes
          type: bjacobi
            number of blocks = 4
            Local solver is the same for all blocks, as in the following KSP and PC objects on rank 0:
                KSP Object:       (stokes_mg_coarse_telescope_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:       (stokes_mg_coarse_telescope_sub_)       1 MPI processes
                  type: ilu
                    out-of-place factorization
                    0 levels of fill
                    tolerance for zero pivot 2.22045e-14
                    matrix ordering: natural
                    factor fill ratio given 1., needed 1.
                      Factored matrix follows:
                        Mat Object:       1 MPI processes
                          type: seqaij
                          rows=27, cols=27, rbs=3, cbs=1
                          package used to perform factorization: petsc
                          total: nonzeros=441, allocated nonzeros=441
                            using I-node routines: found 9 nodes, limit used is 5
                  linear system matrix = precond matrix:
                  Mat Object:       1 MPI processes
                    type: seqaij
                    rows=27, cols=27, rbs=3, cbs=1
                    total: nonzeros=441, allocated nonzeros=441
                    total number of mallocs used during MatSetValues calls=0
                      using I-node routines: found 9 nodes, limit used is 5
          linear system matrix = precond matrix:
          Mat Object: 4 MPI processes
            type: mpiaij
            rows=108, cols=108, rbs=3, cbs=1
            total: nonzeros=2304, allocated nonzeros=2304
            total number of mallocs used during MatSetValues calls=0
              using I-node (on process 0) routines: found 9 nodes, limit used is 5
      linear system matrix = precond matrix:
      Mat Object: 8 MPI processes
        type: mpiaij
        rows=108, cols=108, bs=3
        total: nonzeros=2304, allocated nonzeros=2304
        total number of mallocs used during MatSetValues calls=0
          using nonscalable MatPtAP() implementation
          using I-node (on process 0) routines: found 6 nodes, limit used is 5
  Down solver (pre-smoother) on level 1 -------------------------------
    KSP Object: (stokes_mg_levels_1_) 8 MPI processes
      type: chebyshev
        eigenvalue estimates used:  min = 0.150726, max = 1.65798
        eigenvalues estimate via gmres min 0.120492, max 1.50726
        eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
        KSP Object: (stokes_mg_levels_1_esteig_) 8 MPI processes
          type: gmres
            restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
            happy breakdown tolerance 1e-30
          maximum iterations=10, initial guess is zero
          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
          left preconditioning
          using PRECONDITIONED norm type for convergence test
        estimating eigenvalues using noisy right hand side
      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: (stokes_mg_levels_1_) 8 MPI processes
      type: sor
        type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
      linear system matrix = precond matrix:
      Mat Object: 8 MPI processes
        type: mpiaij
        rows=363, cols=363, bs=3
        total: nonzeros=8649, allocated nonzeros=8649
        total number of mallocs used during MatSetValues calls=0
  Up solver (post-smoother) same as down solver (pre-smoother)
  linear system matrix followed by preconditioner matrix:
  Mat Object: 8 MPI processes
    type: mpiaij
    rows=363, cols=363, bs=3
    total: nonzeros=8649, allocated nonzeros=8649
    total number of mallocs used during MatSetValues calls=0
  Mat Object: 8 MPI processes
    type: mpiaij
    rows=363, cols=363, bs=3
    total: nonzeros=8649, allocated nonzeros=8649
    total number of mallocs used during MatSetValues calls=0
9.0909e-02   1.9284e-03   2.9843e-04   4.8733e-03
