  0 SNES Function norm 21.3344 
    0 KSP Residual norm 33.9102 
    1 KSP Residual norm 2.77282 
  Linear solve converged due to CONVERGED_RTOL iterations 1
  1 SNES Function norm 2.39223 
    0 KSP Residual norm 2.77282 
    1 KSP Residual norm 1.39248 
    2 KSP Residual norm 0.8134 
    3 KSP Residual norm 0.315174 
    4 KSP Residual norm 0.167847 
  Linear solve converged due to CONVERGED_RTOL iterations 4
  2 SNES Function norm 0.167352 
    0 KSP Residual norm 0.167847 
    1 KSP Residual norm 0.131753 
    2 KSP Residual norm 0.0873451 
    3 KSP Residual norm 0.0367734 
    4 KSP Residual norm 0.0190408 
    5 KSP Residual norm 0.00629561 
  Linear solve converged due to CONVERGED_RTOL iterations 5
  3 SNES Function norm 0.00807995 
    0 KSP Residual norm 0.00629561 
    1 KSP Residual norm 0.00418526 
    2 KSP Residual norm 0.00189658 
    3 KSP Residual norm 0.00105604 
    4 KSP Residual norm 0.000536765 
  Linear solve converged due to CONVERGED_RTOL iterations 4
  4 SNES Function norm 0.000556234 
    0 KSP Residual norm 0.000536765 
    1 KSP Residual norm 0.000363612 
    2 KSP Residual norm 0.000187933 
    3 KSP Residual norm 0.000119455 
    4 KSP Residual norm 5.61943e-05 
    5 KSP Residual norm 2.27018e-05 
  Linear solve converged due to CONVERGED_RTOL iterations 5
  5 SNES Function norm 2.78922e-05 
    0 KSP Residual norm 2.27018e-05 
    1 KSP Residual norm 1.22898e-05 
    2 KSP Residual norm 7.48015e-06 
    3 KSP Residual norm 3.76898e-06 
    4 KSP Residual norm 1.60775e-06 
  Linear solve converged due to CONVERGED_RTOL iterations 4
  6 SNES Function norm 1.93812e-06 
    0 KSP Residual norm 1.60775e-06 
    1 KSP Residual norm 1.13764e-06 
    2 KSP Residual norm 8.35882e-07 
    3 KSP Residual norm 3.41171e-07 
    4 KSP Residual norm 2.14521e-07 
    5 KSP Residual norm 6.43226e-08 
  Linear solve converged due to CONVERGED_RTOL iterations 5
  7 SNES Function norm 1.27989e-07 
L_2 Error: 3.23221e-09
Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 7
SNES Object: 4 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=28
  total number of function evaluations=8
  norm schedule ALWAYS
  SNESLineSearch Object: 4 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: 4 MPI processes
    type: gmres
      restart=100, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
      happy breakdown tolerance 1e-30
    maximum iterations=10000, initial guess is zero
    tolerances:  relative=0.1, absolute=1e-50, divergence=10000.
    left preconditioning
    using PRECONDITIONED norm type for convergence test
  PC Object: 4 MPI processes
    type: hpddm
    levels: 2
    Neumann matrix attached? TRUE
    coarse correction: deflated
    on process #0, value (+ threshold if available) for selecting deflation vectors: 4
    grid and operator complexities: 1.00746 1.00493
    KSP Object: (pc_hpddm_levels_1_) 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: (pc_hpddm_levels_1_) 4 MPI processes
      type: shell
        no name
      linear system matrix = precond matrix:
      Mat Object: 4 MPI processes
        type: mpiaij
        rows=2145, cols=2145
        total: nonzeros=32465, allocated nonzeros=32465
        total number of mallocs used during MatSetValues calls=0
          not using I-node (on process 0) routines
    PC Object: (pc_hpddm_levels_1_) 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: (pc_hpddm_levels_1_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: (pc_hpddm_levels_1_sub_) 1 MPI processes
        type: lu
          out-of-place factorization
          tolerance for zero pivot 2.22045e-14
          matrix ordering: nd
          factor fill ratio given 5., needed 1.93729
            Factored matrix follows:
              Mat Object: 1 MPI processes
                type: seqaij
                rows=505, cols=505
                package used to perform factorization: petsc
                total: nonzeros=13005, allocated nonzeros=13005
                  not using I-node routines
        linear system matrix = precond matrix:
        Mat Object: 1 MPI processes
          type: seqaij
          rows=505, cols=505
          total: nonzeros=6713, allocated nonzeros=6713
          total number of mallocs used during MatSetValues calls=0
            not using I-node routines
      linear system matrix = precond matrix:
      Mat Object: 4 MPI processes
        type: mpiaij
        rows=2145, cols=2145
        total: nonzeros=32465, allocated nonzeros=32465
        total number of mallocs used during MatSetValues calls=0
          not using I-node (on process 0) routines
      KSP Object: (pc_hpddm_coarse_) 2 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: (pc_hpddm_coarse_) 2 MPI processes
        type: redundant
          First (color=0) of 2 PCs follows
        linear system matrix = precond matrix:
        Mat Object: (pc_hpddm_coarse_) 2 MPI processes
          type: mpibaij
          rows=16, cols=16, bs=4
          total: nonzeros=160, allocated nonzeros=160
          total number of mallocs used during MatSetValues calls=0
              block size is 4
                KSP Object:       (pc_hpddm_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:       (pc_hpddm_coarse_redundant_)       1 MPI processes
                  type: lu
                    out-of-place factorization
                    tolerance for zero pivot 2.22045e-14
                    matrix ordering: nd
                    factor fill ratio given 5., needed 1.2
                      Factored matrix follows:
                        Mat Object:       1 MPI processes
                          type: seqbaij
                          rows=16, cols=16, bs=4
                          package used to perform factorization: petsc
                          total: nonzeros=192, allocated nonzeros=192
                              block size is 4
                  linear system matrix = precond matrix:
                  Mat Object:       1 MPI processes
                    type: seqbaij
                    rows=16, cols=16, bs=4
                    total: nonzeros=160, allocated nonzeros=160
                    total number of mallocs used during MatSetValues calls=0
                        block size is 4
    linear system matrix = precond matrix:
    Mat Object: 4 MPI processes
      type: mpiaij
      rows=2145, cols=2145
      total: nonzeros=32465, allocated nonzeros=32465
      total number of mallocs used during MatSetValues calls=0
        not using I-node (on process 0) routines
