  0 KSP Residual norm 1.00731 
  1 KSP Residual norm 0.0404643 
  2 KSP Residual norm 0.00265093 
  3 KSP Residual norm 8.88845e-05 
  4 KSP Residual norm 3.67089e-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
  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
      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 [NONZERO]
        matrix ordering: nd
        factor fill ratio given 5., needed 2.21481
          Factored matrix follows:
            Mat 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:
      Mat 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
          has attached null space
          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 = 0.0999031, max = 1.09893
        Chebyshev: eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
        KSP Object:        (mg_levels_1_esteig_)         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, initial guess is zero
          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
          left preconditioning
          using PRECONDITIONED norm type for convergence test
      maximum iterations=2
      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:
      Mat 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
          has attached null space
          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 = 0.0998792, max = 1.09867
        Chebyshev: eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
        KSP Object:        (mg_levels_2_esteig_)         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, initial guess is zero
          tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
          left preconditioning
          using PRECONDITIONED norm type for convergence test
      maximum iterations=2
      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:
      Mat 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
          has attached null space
          not using I-node routines
  Up solver (post-smoother) same as down solver (pre-smoother)
  linear system matrix = precond matrix:
  Mat 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
      has attached null space
      not using I-node routines
Residual norm 3.67089e-06
Error norm 0.0208755
Error norm 0.00618518
Error norm 0.000197005
