1 0 SNES Function norm 11.2854 2 0 KSP Residual norm 10.7468 3 1 KSP Residual norm 0.859968 4 Linear solve converged due to CONVERGED_RTOL iterations 1 5 1 SNES Function norm 2.37215 6 0 KSP Residual norm 0.859968 7 1 KSP Residual norm 0.36619 8 2 KSP Residual norm 0.156019 9 3 KSP Residual norm 0.0404001 10 Linear solve converged due to CONVERGED_RTOL iterations 3 11 2 SNES Function norm 0.126042 12 0 KSP Residual norm 0.0404001 13 1 KSP Residual norm 0.0222502 14 2 KSP Residual norm 0.00654102 15 3 KSP Residual norm 0.00287769 16 Linear solve converged due to CONVERGED_RTOL iterations 3 17 3 SNES Function norm 0.00959685 18 0 KSP Residual norm 0.00287769 19 1 KSP Residual norm 0.00144493 20 2 KSP Residual norm 0.000645135 21 3 KSP Residual norm 0.000207281 22 Linear solve converged due to CONVERGED_RTOL iterations 3 23 4 SNES Function norm 0.000601202 24 0 KSP Residual norm 0.000207281 25 1 KSP Residual norm 9.98348e-05 26 2 KSP Residual norm 3.38896e-05 27 3 KSP Residual norm 1.59084e-05 28 Linear solve converged due to CONVERGED_RTOL iterations 3 29 5 SNES Function norm 5.11301e-05 30 0 KSP Residual norm 1.59084e-05 31 1 KSP Residual norm 8.95606e-06 32 2 KSP Residual norm 3.85819e-06 33 3 KSP Residual norm 1.12629e-06 34 Linear solve converged due to CONVERGED_RTOL iterations 3 35 6 SNES Function norm 3.41277e-06 36 0 KSP Residual norm 1.12629e-06 37 1 KSP Residual norm 5.16268e-07 38 2 KSP Residual norm 1.69075e-07 39 3 KSP Residual norm 8.34073e-08 40 Linear solve converged due to CONVERGED_RTOL iterations 3 41 7 SNES Function norm 2.68082e-07 42 0 KSP Residual norm 8.34073e-08 43 1 KSP Residual norm 4.84996e-08 44 2 KSP Residual norm 1.99918e-08 45 3 KSP Residual norm 5.65355e-09 46 Linear solve converged due to CONVERGED_RTOL iterations 3 47 8 SNES Function norm 1.79858e-08 48L_2 Error: 5.33424e-10 49Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 8 50SNES Object: 4 MPI processes 51 type: newtonls 52 maximum iterations=50, maximum function evaluations=10000 53 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 54 total number of linear solver iterations=22 55 total number of function evaluations=9 56 norm schedule ALWAYS 57 SNESLineSearch Object: 4 MPI processes 58 type: bt 59 interpolation: cubic 60 alpha=1.000000e-04 61 maxstep=1.000000e+08, minlambda=1.000000e-12 62 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 63 maximum iterations=40 64 KSP Object: 4 MPI processes 65 type: gmres 66 restart=100, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 67 happy breakdown tolerance 1e-30 68 maximum iterations=10000, initial guess is zero 69 tolerances: relative=0.1, absolute=1e-50, divergence=10000. 70 left preconditioning 71 using PRECONDITIONED norm type for convergence test 72 PC Object: 4 MPI processes 73 type: hpddm 74 levels: 2 75 Neumann matrix attached? TRUE 76 coarse correction: deflated 77 on process #0, value (+ threshold if available) for selecting deflation vectors: 4 78 grid and operator complexities: 1.07111 1.07178 79 KSP Object: (pc_hpddm_levels_1_) 4 MPI processes 80 type: preonly 81 maximum iterations=10000, initial guess is zero 82 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 83 left preconditioning 84 using NONE norm type for convergence test 85 PC Object: (pc_hpddm_levels_1_) 4 MPI processes 86 type: shell 87 no name 88 linear system matrix = precond matrix: 89 Mat Object: 4 MPI processes 90 type: mpiaij 91 rows=225, cols=225 92 total: nonzeros=2229, allocated nonzeros=2229 93 total number of mallocs used during MatSetValues calls=0 94 not using I-node (on process 0) routines 95 PC Object: (pc_hpddm_levels_1_) 4 MPI processes 96 type: bjacobi 97 number of blocks = 4 98 Local solver information for first block is in the following KSP and PC objects on rank 0: 99 Use -pc_hpddm_levels_1_ksp_view ::ascii_info_detail to display information for all blocks 100 KSP Object: (pc_hpddm_levels_1_sub_) 1 MPI processes 101 type: preonly 102 maximum iterations=10000, initial guess is zero 103 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 104 left preconditioning 105 using NONE norm type for convergence test 106 PC Object: (pc_hpddm_levels_1_sub_) 1 MPI processes 107 type: lu 108 out-of-place factorization 109 tolerance for zero pivot 2.22045e-14 110 matrix ordering: nd 111 factor fill ratio given 5., needed 1.31206 112 Factored matrix follows: 113 Mat Object: 1 MPI processes 114 type: seqaij 115 rows=42, cols=42 116 package used to perform factorization: petsc 117 total: nonzeros=370, allocated nonzeros=370 118 not using I-node routines 119 linear system matrix = precond matrix: 120 Mat Object: (pc_hpddm_levels_1_sub_) 1 MPI processes 121 type: seqaij 122 rows=42, cols=42 123 total: nonzeros=282, allocated nonzeros=282 124 total number of mallocs used during MatSetValues calls=0 125 not using I-node routines 126 linear system matrix = precond matrix: 127 Mat Object: 4 MPI processes 128 type: mpiaij 129 rows=225, cols=225 130 total: nonzeros=2229, allocated nonzeros=2229 131 total number of mallocs used during MatSetValues calls=0 132 not using I-node (on process 0) routines 133 KSP Object: (pc_hpddm_coarse_) 2 MPI processes 134 type: preonly 135 maximum iterations=10000, initial guess is zero 136 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 137 left preconditioning 138 using NONE norm type for convergence test 139 PC Object: (pc_hpddm_coarse_) 2 MPI processes 140 type: redundant 141 First (color=0) of 2 PCs follows 142 linear system matrix = precond matrix: 143 Mat Object: (pc_hpddm_coarse_) 2 MPI processes 144 type: mpisbaij 145 rows=16, cols=16, bs=4 146 total: nonzeros=160, allocated nonzeros=160 147 total number of mallocs used during MatSetValues calls=0 148 block size is 4 149 KSP Object: (pc_hpddm_coarse_redundant_) 1 MPI processes 150 type: preonly 151 maximum iterations=10000, initial guess is zero 152 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 153 left preconditioning 154 using NONE norm type for convergence test 155 PC Object: (pc_hpddm_coarse_redundant_) 1 MPI processes 156 type: cholesky 157 out-of-place factorization 158 tolerance for zero pivot 2.22045e-14 159 matrix ordering: natural 160 factor fill ratio given 5., needed 1.1 161 Factored matrix follows: 162 Mat Object: 1 MPI processes 163 type: seqsbaij 164 rows=16, cols=16, bs=4 165 package used to perform factorization: petsc 166 total: nonzeros=176, allocated nonzeros=176 167 block size is 4 168 linear system matrix = precond matrix: 169 Mat Object: 1 MPI processes 170 type: seqsbaij 171 rows=16, cols=16, bs=4 172 total: nonzeros=160, allocated nonzeros=160 173 total number of mallocs used during MatSetValues calls=0 174 block size is 4 175 linear system matrix = precond matrix: 176 Mat Object: 4 MPI processes 177 type: mpiaij 178 rows=225, cols=225 179 total: nonzeros=2229, allocated nonzeros=2229 180 total number of mallocs used during MatSetValues calls=0 181 not using I-node (on process 0) routines 182