  0 KSP Residual norm 1.00731 
  1 KSP Residual norm 0.0422914 
  2 KSP Residual norm 0.00290556 
  3 KSP Residual norm 9.48719e-05 
  4 KSP Residual norm 4.05385e-06 
KSP Object: 1 MPI processes
  type: fgmres
    GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
    GMRES: happy breakdown tolerance 1e-30
  maximum iterations=10000, initial guess is zero
  tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
  right preconditioning
  has attached null space
  using UNPRECONDITIONED norm type for convergence test
PC Object: 1 MPI processes
  type: mg
    MG: type is FULL, levels=3 cycles=v
      Not using Galerkin computed coarse grid matrices
  Coarse grid solver -- level -------------------------------
    KSP Object:    (mg_coarse_)     1 MPI processes
      type: preonly
      maximum iterations=1, initial guess is zero
      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
      left preconditioning
      has attached null space
      using NONE norm type for convergence test
    PC Object:    (mg_coarse_)     1 MPI processes
      type: lu
        LU: out-of-place factorization
        tolerance for zero pivot 2.22045e-14
        using diagonal shift to prevent zero pivot
        matrix ordering: nd
        factor fill ratio given 5, needed 2.21481
          Factored matrix follows:
            Matrix Object:             1 MPI processes
              type: seqaij
              rows=27, cols=27
              package used to perform factorization: petsc
              total: nonzeros=299, allocated nonzeros=299
              total number of mallocs used during MatSetValues calls =0
                not using I-node routines
      linear system matrix = precond matrix:
      Matrix Object:       1 MPI processes
        type: seqaij
        rows=27, cols=27
        total: nonzeros=135, allocated nonzeros=135
        total number of mallocs used during MatSetValues calls =0
          not using I-node routines
  Down solver (pre-smoother) on level 1 -------------------------------
    KSP Object:    (mg_levels_1_)     1 MPI processes
      type: chebyshev
        Chebyshev: eigenvalue estimates:  min = 0.10017, max = 1.10187
        Chebyshev: estimated using:  [0 0.1; 0 1.1]
        KSP Object:        (mg_levels_1_est_)         1 MPI processes
          type: gmres
            GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
            GMRES: happy breakdown tolerance 1e-30
          maximum iterations=10
          tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
          left preconditioning
          using nonzero initial guess
          using NONE norm type for convergence test
        PC Object:        (mg_levels_1_)         1 MPI processes
          type: sor
            SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
          linear system matrix = precond matrix:
          Matrix Object:           1 MPI processes
            type: seqaij
            rows=216, cols=216
            total: nonzeros=1296, allocated nonzeros=1296
            total number of mallocs used during MatSetValues calls =0
              not using I-node routines
      maximum iterations=2
      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
      left preconditioning
      has attached null space
      using nonzero initial guess
      using NONE norm type for convergence test
    PC Object:    (mg_levels_1_)     1 MPI processes
      type: sor
        SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
      linear system matrix = precond matrix:
      Matrix Object:       1 MPI processes
        type: seqaij
        rows=216, cols=216
        total: nonzeros=1296, allocated nonzeros=1296
        total number of mallocs used during MatSetValues calls =0
          not using I-node routines
  Up solver (post-smoother) same as down solver (pre-smoother)
  Down solver (pre-smoother) on level 2 -------------------------------
    KSP Object:    (mg_levels_2_)     1 MPI processes
      type: chebyshev
        Chebyshev: eigenvalue estimates:  min = 0.100602, max = 1.10662
        Chebyshev: estimated using:  [0 0.1; 0 1.1]
        KSP Object:        (mg_levels_2_est_)         1 MPI processes
          type: gmres
            GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
            GMRES: happy breakdown tolerance 1e-30
          maximum iterations=10
          tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
          left preconditioning
          using nonzero initial guess
          using NONE norm type for convergence test
        PC Object:        (mg_levels_2_)         1 MPI processes
          type: sor
            SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
          linear system matrix = precond matrix:
          Matrix Object:           1 MPI processes
            type: seqaij
            rows=1728, cols=1728
            total: nonzeros=11232, allocated nonzeros=11232
            total number of mallocs used during MatSetValues calls =0
              not using I-node routines
      maximum iterations=2
      tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
      left preconditioning
      has attached null space
      using nonzero initial guess
      using NONE norm type for convergence test
    PC Object:    (mg_levels_2_)     1 MPI processes
      type: sor
        SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
      linear system matrix = precond matrix:
      Matrix Object:       1 MPI processes
        type: seqaij
        rows=1728, cols=1728
        total: nonzeros=11232, allocated nonzeros=11232
        total number of mallocs used during MatSetValues calls =0
          not using I-node routines
  Up solver (post-smoother) same as down solver (pre-smoother)
  linear system matrix = precond matrix:
  Matrix Object:   1 MPI processes
    type: seqaij
    rows=1728, cols=1728
    total: nonzeros=11232, allocated nonzeros=11232
    total number of mallocs used during MatSetValues calls =0
      not using I-node routines
Residual norm 4.05385e-06
Error norm 0.0208756
Error norm 0.00618519
Error norm 0.000197005
