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=16 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 ------------------------------- 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 processes 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 processes 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: 1 MPI processes 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 processes 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 eigenvalue estimates used: min = 0.12873, max = 1.41603 80 eigenvalues estimate via gmres min 0.220124, max 1.2873 81 eigenvalues estimated using gmres with translations [0. 0.1; 0. 1.1] 82 KSP Object: (mg_levels_1_esteig_) 2 MPI processes 83 type: gmres 84 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 85 happy breakdown tolerance 1e-30 86 maximum iterations=10, initial guess is zero 87 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 88 left preconditioning 89 using PRECONDITIONED norm type for convergence test 90 estimating eigenvalues using noisy right hand side 91 maximum iterations=2, nonzero initial guess 92 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 93 left preconditioning 94 using NONE norm type for convergence test 95 PC Object: (mg_levels_1_) 2 MPI processes 96 type: sor 97 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 98 linear system matrix = precond matrix: 99 Mat Object: 2 MPI processes 100 type: mpiaij 101 rows=49, cols=49 102 total: nonzeros=217, allocated nonzeros=217 103 total number of mallocs used during MatSetValues calls=0 104 Up solver (post-smoother) same as down solver (pre-smoother) 105 Down solver (pre-smoother) on level 2 ------------------------------- 106 KSP Object: (mg_levels_2_) 2 MPI processes 107 type: chebyshev 108 eigenvalue estimates used: min = 0.126369, max = 1.39006 109 eigenvalues estimate via gmres min 0.0725743, max 1.26369 110 eigenvalues estimated using gmres with translations [0. 0.1; 0. 1.1] 111 KSP Object: (mg_levels_2_esteig_) 2 MPI processes 112 type: gmres 113 restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 114 happy breakdown tolerance 1e-30 115 maximum iterations=10, initial guess is zero 116 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 117 left preconditioning 118 using PRECONDITIONED norm type for convergence test 119 estimating eigenvalues using noisy right hand side 120 maximum iterations=2, nonzero initial guess 121 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 122 left preconditioning 123 using NONE norm type for convergence test 124 PC Object: (mg_levels_2_) 2 MPI processes 125 type: sor 126 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 127 linear system matrix followed by preconditioner matrix: 128 Mat Object: 2 MPI processes 129 type: mffd 130 rows=169, cols=169 131 Matrix-free approximation: 132 err=1.49012e-08 (relative error in function evaluation) 133 Using wp compute h routine 134 Does not compute normU 135 Mat Object: 2 MPI processes 136 type: mpiaij 137 rows=169, cols=169 138 total: nonzeros=793, allocated nonzeros=793 139 total number of mallocs used during MatSetValues calls=0 140 Up solver (post-smoother) same as down solver (pre-smoother) 141 linear system matrix followed by preconditioner matrix: 142 Mat Object: 2 MPI processes 143 type: mffd 144 rows=169, cols=169 145 Matrix-free approximation: 146 err=1.49012e-08 (relative error in function evaluation) 147 Using wp compute h routine 148 Does not compute normU 149 Mat Object: 2 MPI processes 150 type: mpiaij 151 rows=169, cols=169 152 total: nonzeros=793, allocated nonzeros=793 153 total number of mallocs used during MatSetValues calls=0 154