  0 SNES Function norm 8.32828 
    0 KSP unpreconditioned resid norm 8.328278903362e+00 true resid norm 8.328278903362e+00 ||r(i)||/||b|| 1.000000000000e+00
    1 KSP unpreconditioned resid norm 1.577431790565e-04 true resid norm 1.577431790565e-04 ||r(i)||/||b|| 1.894066960135e-05
    2 KSP unpreconditioned resid norm 1.103738275186e-08 true resid norm 1.103738275186e-08 ||r(i)||/||b|| 1.325289760337e-09
    3 KSP unpreconditioned resid norm 7.232926360782e-13 true resid norm 7.232926360782e-13 ||r(i)||/||b|| 8.684779225948e-14
  1 SNES Function norm < 1.e-11
L_2 Error: 0.00131794
Nonlinear solve converged due to CONVERGED_FNORM_ABS iterations 1
SNES Object: 1 MPI process
  type: newtonls
  maximum iterations=50, maximum function evaluations=10000
  tolerances: relative=0., absolute=1e-08, solution=1e-08
  total number of linear solver iterations=3
  total number of function evaluations=2
  norm schedule ALWAYS
  SNESLineSearch Object: 1 MPI process
    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: 1 MPI process
    type: richardson
      damping factor=1.
    maximum iterations=10000, initial guess is zero
    tolerances:  relative=0., absolute=1e-08, divergence=10000.
    left preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object: 1 MPI process
    type: mg
      type is MULTIPLICATIVE, levels=4 cycles=v
        Cycles per PCApply=1
        Not using Galerkin computed coarse grid matrices
    Coarse grid solver -- level 0 -------------------------------
      KSP Object: (mg_coarse_) 1 MPI process
        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_) 1 MPI process
        type: lu
          out-of-place factorization
          tolerance for zero pivot 2.22045e-14
          using diagonal shift on blocks to prevent zero pivot [INBLOCKS]
          matrix ordering: nd
          factor fill ratio given 5., needed 1.
            Factored matrix follows:
              Mat Object: (mg_coarse_) 1 MPI process
                type: seqaij
                rows=4, cols=4
                package used to perform factorization: petsc
                total: nonzeros=14, allocated nonzeros=14
                  using I-node routines: found 3 nodes, limit used is 5
        linear system matrix = precond matrix:
        Mat Object: 1 MPI process
          type: seqaij
          rows=4, cols=4
          total: nonzeros=14, allocated nonzeros=14
          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 process
        type: gmres
          restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
          happy breakdown tolerance 1e-30
        maximum iterations=10, nonzero initial guess
        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
        left preconditioning
        using NONE norm type for convergence test
      PC Object: (mg_levels_1_) 1 MPI process
        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: (mg_levels_1_) 1 MPI process
                type: seqaij
                rows=15, cols=15
                package used to perform factorization: petsc
                total: nonzeros=73, allocated nonzeros=73
                  not using I-node routines
        linear system matrix = precond matrix:
        Mat Object: 1 MPI process
          type: seqaij
          rows=15, cols=15
          total: nonzeros=73, allocated nonzeros=73
          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 process
        type: gmres
          restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
          happy breakdown tolerance 1e-30
        maximum iterations=10, nonzero initial guess
        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
        left preconditioning
        using NONE norm type for convergence test
      PC Object: (mg_levels_2_) 1 MPI process
        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: (mg_levels_2_) 1 MPI process
                type: seqaij
                rows=59, cols=59
                package used to perform factorization: petsc
                total: nonzeros=347, allocated nonzeros=347
                  not using I-node routines
        linear system matrix = precond matrix:
        Mat Object: 1 MPI process
          type: seqaij
          rows=59, cols=59
          total: nonzeros=347, allocated nonzeros=347
          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 3 -------------------------------
      KSP Object: (mg_levels_3_) 1 MPI process
        type: gmres
          restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
          happy breakdown tolerance 1e-30
        maximum iterations=10, nonzero initial guess
        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
        left preconditioning
        using NONE norm type for convergence test
      PC Object: (mg_levels_3_) 1 MPI process
        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: (mg_levels_3_) 1 MPI process
                type: seqaij
                rows=225, cols=225
                package used to perform factorization: petsc
                total: nonzeros=1457, allocated nonzeros=1457
                  not using I-node routines
        linear system matrix = precond matrix:
        Mat Object: 1 MPI process
          type: seqaij
          rows=225, cols=225
          total: nonzeros=1457, allocated nonzeros=1457
          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:
    Mat Object: 1 MPI process
      type: seqaij
      rows=225, cols=225
      total: nonzeros=1457, allocated nonzeros=1457
      total number of mallocs used during MatSetValues calls=0
        not using I-node routines
