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 4.61503e-06 8 Linear solve converged due to CONVERGED_RTOL iterations 2 9 4 SNES Function norm < 1.e-11 10 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 4 11 0 SNES Function norm 0.0763997 12 Linear solve converged due to CONVERGED_RTOL iterations 6 13 1 SNES Function norm 2.68503e-05 14 Linear solve converged due to CONVERGED_RTOL iterations 5 15 2 SNES Function norm 6.777e-10 16 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2 17 0 SNES Function norm 0.0408394 18 Linear solve converged due to CONVERGED_RTOL iterations 6 19 1 SNES Function norm 9.57612e-07 20 Linear solve converged due to CONVERGED_RTOL iterations 4 21 2 SNES Function norm 2.903e-10 22Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2 23SNES Object: 2 MPI processes 24 type: newtonls 25 maximum iterations=50, maximum function evaluations=10000 26 tolerances: relative=1e-08, absolute=-1., solution=1e-08 27 total number of linear solver iterations=29 28 total number of function evaluations=11 29 norm schedule ALWAYS 30 total number of grid sequence refinements=2 31 Jacobian is built using a DMDA local Jacobian 32SNESLineSearch Object: 2 MPI processes 33 type: bt 34 interpolation: cubic 35 alpha=1.000000e-04 36 maxstep=1.000000e+08, minlambda=1.000000e-12 37 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 38 maximum iterations=40 39 KSP Object: 2 MPI processes 40 type: gmres 41 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 42 happy breakdown tolerance 1e-30 43 maximum iterations=10000, initial guess is zero 44 tolerances: relative=1e-05, absolute=-1., divergence=10000. 45 left preconditioning 46 using PRECONDITIONED norm type for convergence test 47 PC Object: 2 MPI processes 48 type: mg 49 type is MULTIPLICATIVE, levels=3 cycles=v 50 Cycles per PCApply=1 51 Not using Galerkin computed coarse grid matrices 52 Coarse grid solver -- level ------------------------------- 53 KSP Object: (mg_coarse_) 2 MPI processes 54 type: preonly 55 maximum iterations=10000, initial guess is zero 56 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 57 left preconditioning 58 using NONE norm type for convergence test 59 PC Object: (mg_coarse_) 2 MPI processes 60 type: redundant 61 First (color=0) of 2 PCs follows 62 KSP Object: (mg_coarse_redundant_) 1 MPI processes 63 type: preonly 64 maximum iterations=10000, initial guess is zero 65 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 66 left preconditioning 67 using NONE norm type for convergence test 68 PC Object: (mg_coarse_redundant_) 1 MPI processes 69 type: lu 70 out-of-place factorization 71 tolerance for zero pivot 2.22045e-14 72 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] 73 matrix ordering: nd 74 factor fill ratio given 5., needed 1.875 75 Factored matrix follows: 76 Mat Object: 1 MPI processes 77 type: seqaij 78 rows=16, cols=16 79 package used to perform factorization: petsc 80 total: nonzeros=120, allocated nonzeros=120 81 using I-node routines: found 12 nodes, limit used is 5 82 linear system matrix = precond matrix: 83 Mat Object: 1 MPI processes 84 type: seqaij 85 rows=16, cols=16 86 total: nonzeros=64, allocated nonzeros=64 87 total number of mallocs used during MatSetValues calls=0 88 not using I-node routines 89 linear system matrix = precond matrix: 90 Mat Object: 2 MPI processes 91 type: mpiaij 92 rows=16, cols=16 93 total: nonzeros=64, allocated nonzeros=64 94 total number of mallocs used during MatSetValues calls=0 95 Down solver (pre-smoother) on level 1 ------------------------------- 96 KSP Object: (mg_levels_1_) 2 MPI processes 97 type: chebyshev 98 eigenvalue estimates used: min = 0.12873, max = 1.41603 99 eigenvalues estimate via gmres min 0.220123, max 1.2873 100 eigenvalues estimated using gmres with translations [0. 0.1; 0. 1.1] 101 KSP Object: (mg_levels_1_esteig_) 2 MPI processes 102 type: gmres 103 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 104 happy breakdown tolerance 1e-30 105 maximum iterations=10, initial guess is zero 106 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 107 left preconditioning 108 using PRECONDITIONED norm type for convergence test 109 estimating eigenvalues using noisy right hand side 110 maximum iterations=2, nonzero initial guess 111 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 112 left preconditioning 113 using NONE norm type for convergence test 114 PC Object: (mg_levels_1_) 2 MPI processes 115 type: sor 116 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 117 linear system matrix = precond matrix: 118 Mat Object: 2 MPI processes 119 type: mpiaij 120 rows=49, cols=49 121 total: nonzeros=217, allocated nonzeros=217 122 total number of mallocs used during MatSetValues calls=0 123 Up solver (post-smoother) same as down solver (pre-smoother) 124 Down solver (pre-smoother) on level 2 ------------------------------- 125 KSP Object: (mg_levels_2_) 2 MPI processes 126 type: chebyshev 127 eigenvalue estimates used: min = 0.12637, max = 1.39007 128 eigenvalues estimate via gmres min 0.0725255, max 1.2637 129 eigenvalues estimated using gmres with translations [0. 0.1; 0. 1.1] 130 KSP Object: (mg_levels_2_esteig_) 2 MPI processes 131 type: gmres 132 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 133 happy breakdown tolerance 1e-30 134 maximum iterations=10, initial guess is zero 135 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 136 left preconditioning 137 using PRECONDITIONED norm type for convergence test 138 estimating eigenvalues using noisy right hand side 139 maximum iterations=2, nonzero initial guess 140 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 141 left preconditioning 142 using NONE norm type for convergence test 143 PC Object: (mg_levels_2_) 2 MPI processes 144 type: sor 145 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 146 linear system matrix = precond matrix: 147 Mat Object: 2 MPI processes 148 type: mpiaij 149 rows=169, cols=169 150 total: nonzeros=793, allocated nonzeros=793 151 total number of mallocs used during MatSetValues calls=0 152 Up solver (post-smoother) same as down solver (pre-smoother) 153 linear system matrix = precond matrix: 154 Mat Object: 2 MPI processes 155 type: mpiaij 156 rows=169, cols=169 157 total: nonzeros=793, allocated nonzeros=793 158 total number of mallocs used during MatSetValues calls=0 159