1 0 SNES Function norm 0.995735 2 Linear solve converged due to CONVERGED_RTOL iterations 2 3 1 SNES Function norm 0.276938 4 Linear solve converged due to CONVERGED_RTOL iterations 2 5 2 SNES Function norm 0.00668678 6 Linear solve converged due to CONVERGED_RTOL iterations 2 7 3 SNES Function norm 4.6129e-06 8 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 3 9 0 SNES Function norm 0.0763977 10 Linear solve converged due to CONVERGED_RTOL iterations 6 11 1 SNES Function norm 2.68517e-05 12 Linear solve converged due to CONVERGED_RTOL iterations 5 13 2 SNES Function norm 1.90304e-08 14 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2 15 0 SNES Function norm 0.0408394 16 Linear solve converged due to CONVERGED_RTOL iterations 6 17 1 SNES Function norm 9.67955e-07 18 Linear solve converged due to CONVERGED_RTOL iterations 4 19 2 SNES Function norm 3.74739e-08 20Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2 21SNES Object: 2 MPI processes 22 type: newtonls 23 maximum iterations=50, maximum function evaluations=10000 24 tolerances: relative=1e-05, absolute=-1., solution=1e-05 25 total number of linear solver iterations=27 26 total number of function evaluations=10 27 norm schedule ALWAYS 28 total number of grid sequence refinements=2 29 Jacobian is built using a DMDA local Jacobian 30SNESLineSearch Object: 2 MPI processes 31 type: bt 32 interpolation: cubic 33 alpha=1.000000e-04 34 maxstep=1.000000e+08, minlambda=1.000000e-12 35 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 36 maximum iterations=40 37 KSP Object: 2 MPI processes 38 type: gmres 39 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 40 happy breakdown tolerance 1e-30 41 maximum iterations=10000, initial guess is zero 42 tolerances: relative=1e-05, absolute=-1., divergence=10000. 43 left preconditioning 44 using PRECONDITIONED norm type for convergence test 45 PC Object: 2 MPI processes 46 type: mg 47 type is MULTIPLICATIVE, levels=3 cycles=v 48 Cycles per PCApply=1 49 Not using Galerkin computed coarse grid matrices 50 Coarse grid solver -- level ------------------------------- 51 KSP Object: (mg_coarse_) 2 MPI processes 52 type: preonly 53 maximum iterations=10000, initial guess is zero 54 tolerances: relative=1e-05, absolute=1e-25, divergence=10000. 55 left preconditioning 56 using NONE norm type for convergence test 57 PC Object: (mg_coarse_) 2 MPI processes 58 type: redundant 59 First (color=0) of 2 PCs follows 60 KSP Object: (mg_coarse_redundant_) 1 MPI processes 61 type: preonly 62 maximum iterations=10000, initial guess is zero 63 tolerances: relative=1e-05, absolute=1e-25, divergence=10000. 64 left preconditioning 65 using NONE norm type for convergence test 66 PC Object: (mg_coarse_redundant_) 1 MPI processes 67 type: lu 68 out-of-place factorization 69 tolerance for zero pivot 1.19209e-05 70 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] 71 matrix ordering: nd 72 factor fill ratio given 5., needed 1.875 73 Factored matrix follows: 74 Mat Object: 1 MPI processes 75 type: seqaij 76 rows=16, cols=16 77 package used to perform factorization: petsc 78 total: nonzeros=120, allocated nonzeros=120 79 total number of mallocs used during MatSetValues calls=0 80 using I-node routines: found 12 nodes, limit used is 5 81 linear system matrix = precond matrix: 82 Mat Object: 1 MPI processes 83 type: seqaij 84 rows=16, cols=16 85 total: nonzeros=64, allocated nonzeros=64 86 total number of mallocs used during MatSetValues calls=0 87 not using I-node routines 88 linear system matrix = precond matrix: 89 Mat Object: 2 MPI processes 90 type: mpiaij 91 rows=16, cols=16 92 total: nonzeros=64, allocated nonzeros=64 93 total number of mallocs used during MatSetValues calls=0 94 Down solver (pre-smoother) on level 1 ------------------------------- 95 KSP Object: (mg_levels_1_) 2 MPI processes 96 type: chebyshev 97 eigenvalue estimates used: min = 0.128728, max = 1.41601 98 eigenvalues estimate via gmres min 0.220123, max 1.28728 99 eigenvalues estimated using gmres with translations [0. 0.1; 0. 1.1] 100 KSP Object: (mg_levels_1_esteig_) 2 MPI processes 101 type: gmres 102 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 103 happy breakdown tolerance 1e-30 104 maximum iterations=10, initial guess is zero 105 tolerances: relative=1e-12, absolute=1e-25, divergence=10000. 106 left preconditioning 107 using PRECONDITIONED norm type for convergence test 108 estimating eigenvalues using noisy right hand side 109 maximum iterations=2, nonzero initial guess 110 tolerances: relative=1e-05, absolute=1e-25, divergence=10000. 111 left preconditioning 112 using NONE norm type for convergence test 113 PC Object: (mg_levels_1_) 2 MPI processes 114 type: sor 115 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 116 linear system matrix = precond matrix: 117 Mat Object: 2 MPI processes 118 type: mpiaij 119 rows=49, cols=49 120 total: nonzeros=217, allocated nonzeros=217 121 total number of mallocs used during MatSetValues calls=0 122 Up solver (post-smoother) same as down solver (pre-smoother) 123 Down solver (pre-smoother) on level 2 ------------------------------- 124 KSP Object: (mg_levels_2_) 2 MPI processes 125 type: chebyshev 126 eigenvalue estimates used: min = 0.12637, max = 1.39007 127 eigenvalues estimate via gmres min 0.0725255, max 1.2637 128 eigenvalues estimated using gmres with translations [0. 0.1; 0. 1.1] 129 KSP Object: (mg_levels_2_esteig_) 2 MPI processes 130 type: gmres 131 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 132 happy breakdown tolerance 1e-30 133 maximum iterations=10, initial guess is zero 134 tolerances: relative=1e-12, absolute=1e-25, divergence=10000. 135 left preconditioning 136 using PRECONDITIONED norm type for convergence test 137 estimating eigenvalues using noisy right hand side 138 maximum iterations=2, nonzero initial guess 139 tolerances: relative=1e-05, absolute=1e-25, divergence=10000. 140 left preconditioning 141 using NONE norm type for convergence test 142 PC Object: (mg_levels_2_) 2 MPI processes 143 type: sor 144 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 145 linear system matrix = precond matrix: 146 Mat Object: 2 MPI processes 147 type: mpiaij 148 rows=169, cols=169 149 total: nonzeros=793, allocated nonzeros=793 150 total number of mallocs used during MatSetValues calls=0 151 Up solver (post-smoother) same as down solver (pre-smoother) 152 linear system matrix = precond matrix: 153 Mat Object: 2 MPI processes 154 type: mpiaij 155 rows=169, cols=169 156 total: nonzeros=793, allocated nonzeros=793 157 total number of mallocs used during MatSetValues calls=0 158