    Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 4
  Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 3
Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 3
SNES Object: 2 MPI processes
  type: newtonls
  maximum iterations=50, maximum function evaluations=10000
  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
  total number of linear solver iterations=11
  total number of function evaluations=120
  total number of grid sequence refinements=2
  SNESLineSearch Object:   2 MPI processes
    type: bt
      interpolation: cubic
      alpha=1.000000e-04
    maxstep=1.000000e+08, minlambda=1.000000e-12
    tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08
    maximum iterations=40
  KSP Object:   2 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=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:   2 MPI processes
    type: mg
      MG: type is MULTIPLICATIVE, levels=3 cycles=v
        Cycles per PCApply=1
        Not using Galerkin computed coarse grid matrices
    Coarse grid solver -- level -------------------------------
      KSP Object:      (mg_coarse_)       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:      (mg_coarse_)       2 MPI processes
        type: redundant
          Redundant preconditioner: First (color=0) of 2 PCs follows
        KSP Object:        (mg_coarse_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:        (mg_coarse_redundant_)         1 MPI processes
          type: lu
            LU: out-of-place factorization
            tolerance for zero pivot 2.22045e-14
            using diagonal shift on blocks to prevent zero pivot
            matrix ordering: nd
            factor fill ratio given 5, needed 1.875
              Factored matrix follows:
                Matrix Object:                 1 MPI processes
                  type: seqaij
                  rows=16, cols=16
                  package used to perform factorization: petsc
                  total: nonzeros=120, allocated nonzeros=120
                  total number of mallocs used during MatSetValues calls =0
                    using I-node routines: found 12 nodes, limit used is 5
          linear system matrix = precond matrix:
          Matrix Object:           1 MPI processes
            type: seqaij
            rows=16, cols=16
            total: nonzeros=64, allocated nonzeros=80
            total number of mallocs used during MatSetValues calls =0
              not using I-node routines
        linear system matrix = precond matrix:
        Matrix Object:         2 MPI processes
          type: mpiaij
          rows=16, cols=16
          total: nonzeros=64, allocated nonzeros=64
          total number of mallocs used during MatSetValues calls =0
    Down solver (pre-smoother) on level 1 -------------------------------
      KSP Object:      (mg_levels_1_)       2 MPI processes
        type: chebyshev
          Chebyshev: eigenvalue estimates:  min = 0.129662, max = 1.42628
          Chebyshev: estimated using:  [0 0.1; 0 1.1]
          KSP Object:          (mg_levels_1_est_)           2 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_)           2 MPI processes
            type: sor
              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
            linear system matrix = precond matrix:
            Matrix Object:             2 MPI processes
              type: mpiaij
              rows=49, cols=49
              total: nonzeros=217, allocated nonzeros=217
              total number of mallocs used during MatSetValues calls =0
        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_)       2 MPI processes
        type: sor
          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
        linear system matrix = precond matrix:
        Matrix Object:         2 MPI processes
          type: mpiaij
          rows=49, cols=49
          total: nonzeros=217, allocated nonzeros=217
          total number of mallocs used during MatSetValues calls =0
    Up solver (post-smoother) same as down solver (pre-smoother)
    Down solver (pre-smoother) on level 2 -------------------------------
      KSP Object:      (mg_levels_2_)       2 MPI processes
        type: chebyshev
          Chebyshev: eigenvalue estimates:  min = 0.127654, max = 1.4042
          Chebyshev: estimated using:  [0 0.1; 0 1.1]
          KSP Object:          (mg_levels_2_est_)           2 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_)           2 MPI processes
            type: sor
              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
            linear system matrix followed by preconditioner matrix:
            Matrix Object:             2 MPI processes
              type: mffd
              rows=169, cols=169
                Matrix-free approximation:
                  err=1.49012e-08 (relative error in function evaluation)
                  Using wp compute h routine
                      Does not compute normU
            Matrix Object:             2 MPI processes
              type: mpiaij
              rows=169, cols=169
              total: nonzeros=793, allocated nonzeros=793
              total number of mallocs used during MatSetValues calls =0
        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_)       2 MPI processes
        type: sor
          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
        linear system matrix followed by preconditioner matrix:
        Matrix Object:         2 MPI processes
          type: mffd
          rows=169, cols=169
            Matrix-free approximation:
              err=1.49012e-08 (relative error in function evaluation)
              Using wp compute h routine
                  Does not compute normU
        Matrix Object:         2 MPI processes
          type: mpiaij
          rows=169, cols=169
          total: nonzeros=793, allocated nonzeros=793
          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:
    Matrix Object:     2 MPI processes
      type: mffd
      rows=169, cols=169
        Matrix-free approximation:
          err=1.49012e-08 (relative error in function evaluation)
          Using wp compute h routine
              Does not compute normU
    Matrix Object:     2 MPI processes
      type: mpiaij
      rows=169, cols=169
      total: nonzeros=793, allocated nonzeros=793
      total number of mallocs used during MatSetValues calls =0
