1 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2 2 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 3Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 4SNES Object: 2 MPI processes 5 type: newtonls 6 maximum iterations=50, maximum function evaluations=10000 7 tolerances: relative=0.01, absolute=-1., solution=1e-08 8 total number of linear solver iterations=17 9 norm schedule ALWAYS 10 total number of grid sequence refinements=2 11 Jacobian is applied matrix-free with differencing 12 Preconditioning Jacobian is built using a DMDA local Jacobian 13 SNESLineSearch Object: 2 MPI processes 14 type: bt 15 interpolation: cubic 16 alpha=1.000000e-04 17 maxstep=1.000000e+08, minlambda=1.000000e-12 18 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 19 maximum iterations=40 20 KSP Object: 2 MPI processes 21 type: gmres 22 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 23 happy breakdown tolerance 1e-30 24 maximum iterations=10000, initial guess is zero 25 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 26 left preconditioning 27 using PRECONDITIONED norm type for convergence test 28 PC Object: 2 MPI processes 29 type: mg 30 type is MULTIPLICATIVE, levels=3 cycles=v 31 Cycles per PCApply=1 32 Not using Galerkin computed coarse grid matrices 33 Coarse grid solver -- level 0 ------------------------------- 34 KSP Object: (mg_coarse_) 2 MPI processes 35 type: preonly 36 maximum iterations=10000, initial guess is zero 37 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 38 left preconditioning 39 using NONE norm type for convergence test 40 PC Object: (mg_coarse_) 2 MPI processes 41 type: redundant 42 First (color=0) of 2 PCs follows 43 KSP Object: (mg_coarse_redundant_) 1 MPI process 44 type: preonly 45 maximum iterations=10000, initial guess is zero 46 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 47 left preconditioning 48 using NONE norm type for convergence test 49 PC Object: (mg_coarse_redundant_) 1 MPI process 50 type: lu 51 out-of-place factorization 52 tolerance for zero pivot 2.22045e-14 53 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] 54 matrix ordering: nd 55 factor fill ratio given 5., needed 1.875 56 Factored matrix follows: 57 Mat Object: (mg_coarse_redundant_) 1 MPI process 58 type: seqaij 59 rows=16, cols=16 60 package used to perform factorization: petsc 61 total: nonzeros=120, allocated nonzeros=120 62 using I-node routines: found 12 nodes, limit used is 5 63 linear system matrix = precond matrix: 64 Mat Object: 1 MPI process 65 type: seqaij 66 rows=16, cols=16 67 total: nonzeros=64, allocated nonzeros=64 68 total number of mallocs used during MatSetValues calls=0 69 not using I-node routines 70 linear system matrix = precond matrix: 71 Mat Object: 2 MPI processes 72 type: mpiaij 73 rows=16, cols=16 74 total: nonzeros=64, allocated nonzeros=64 75 total number of mallocs used during MatSetValues calls=0 76 Down solver (pre-smoother) on level 1 ------------------------------- 77 KSP Object: (mg_levels_1_) 2 MPI processes 78 type: chebyshev 79 Chebyshev polynomial of first kind 80 eigenvalue targets used: min 0.12873, max 1.41603 81 eigenvalues estimated via gmres: min 0.220124, max 1.2873 82 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] 83 KSP Object: (mg_levels_1_esteig_) 2 MPI processes 84 type: gmres 85 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 86 happy breakdown tolerance 1e-30 87 maximum iterations=10, initial guess is zero 88 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 89 left preconditioning 90 using PRECONDITIONED norm type for convergence test 91 estimating eigenvalues using a noisy random number generated right-hand side 92 maximum iterations=2, nonzero initial guess 93 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 94 left preconditioning 95 using NONE norm type for convergence test 96 PC Object: (mg_levels_1_) 2 MPI processes 97 type: sor 98 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 99 linear system matrix = precond matrix: 100 Mat Object: 2 MPI processes 101 type: mpiaij 102 rows=49, cols=49 103 total: nonzeros=217, allocated nonzeros=217 104 total number of mallocs used during MatSetValues calls=0 105 Up solver (post-smoother) same as down solver (pre-smoother) 106 Down solver (pre-smoother) on level 2 ------------------------------- 107 KSP Object: (mg_levels_2_) 2 MPI processes 108 type: chebyshev 109 Chebyshev polynomial of first kind 110 eigenvalue targets used: min 0.126369, max 1.39006 111 eigenvalues estimated via gmres: min 0.0725743, max 1.26369 112 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] 113 KSP Object: (mg_levels_2_esteig_) 2 MPI processes 114 type: gmres 115 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 116 happy breakdown tolerance 1e-30 117 maximum iterations=10, initial guess is zero 118 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 119 left preconditioning 120 using PRECONDITIONED norm type for convergence test 121 estimating eigenvalues using a noisy random number generated right-hand side 122 maximum iterations=2, nonzero initial guess 123 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 124 left preconditioning 125 using NONE norm type for convergence test 126 PC Object: (mg_levels_2_) 2 MPI processes 127 type: sor 128 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 129 linear system matrix followed by preconditioner matrix: 130 Mat Object: 2 MPI processes 131 type: mffd 132 rows=169, cols=169 133 Matrix-free approximation: 134 err=1.49012e-08 (relative error in function evaluation) 135 Using wp compute h routine 136 Does not compute normU 137 Mat Object: 2 MPI processes 138 type: mpiaij 139 rows=169, cols=169 140 total: nonzeros=793, allocated nonzeros=793 141 total number of mallocs used during MatSetValues calls=0 142 Up solver (post-smoother) same as down solver (pre-smoother) 143 linear system matrix followed by preconditioner matrix: 144 Mat Object: 2 MPI processes 145 type: mffd 146 rows=169, cols=169 147 Matrix-free approximation: 148 err=1.49012e-08 (relative error in function evaluation) 149 Using wp compute h routine 150 Does not compute normU 151 Mat Object: 2 MPI processes 152 type: mpiaij 153 rows=169, cols=169 154 total: nonzeros=793, allocated nonzeros=793 155 total number of mallocs used during MatSetValues calls=0 156