1 0 SNES Function norm 5.83179 2 0 KSP Residual norm 5.0581 3 1 KSP Residual norm 0.0106943 4 2 KSP Residual norm 7.46624e-07 5 3 KSP Residual norm < 1.e-11 6 Linear solve converged due to CONVERGED_RTOL iterations 3 7 1 SNES Function norm < 1.e-11 8L_2 Error: 0.00527027 9Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 10SNES Object: 4 MPI processes 11 type: newtonls 12 maximum iterations=50, maximum function evaluations=10000 13 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 14 total number of linear solver iterations=3 15 total number of function evaluations=2 16 norm schedule ALWAYS 17 SNESLineSearch Object: 4 MPI processes 18 type: bt 19 interpolation: cubic 20 alpha=1.000000e-04 21 maxstep=1.000000e+08, minlambda=1.000000e-12 22 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 23 maximum iterations=40 24 KSP Object: 4 MPI processes 25 type: gmres 26 restart=100, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement 27 happy breakdown tolerance 1e-30 28 maximum iterations=10000, initial guess is zero 29 tolerances: relative=1e-09, absolute=1e-50, divergence=10000. 30 left preconditioning 31 using PRECONDITIONED norm type for convergence test 32 PC Object: 4 MPI processes 33 type: bddc 34 Use verbose output: 0 35 Use user-defined CSR: 0 36 Use local mat graph: 1 37 Connectivity graph topological dimension: 2 38 Use vertices: 1 (vertex size 1) 39 Use edges: 1 40 Use faces: 0 41 Use true near null space: 0 42 Use QR for single constraints on cc: 0 43 Use change of basis on local edge nodes: 0 44 Use change of basis on local face nodes: 0 45 User defined change of basis matrix: 0 46 Has change of basis matrix: 0 47 Eliminate dirichlet boundary dofs: 0 48 Switch on static condensation ops around the interface preconditioner: 0 49 Use exact dirichlet trick: 0 50 Interface extension: DIRICHLET 51 Multilevel max levels: 0 52 Multilevel coarsening ratio: 8 53 Use estimated eigs for coarse problem: 0 54 Use deluxe scaling: 0 55 Use deluxe zerorows: 0 56 Use deluxe singlemat: 0 57 Rebuild interface graph for Schur principal minors: 0 58 Number of dofs' layers for the computation of principal minors: -1 59 Use user CSR graph to compute successive layers: 0 60 Adaptive constraint selection threshold (active 0, userdefined 0): 0. 61 Min constraints / connected component: 0 62 Max constraints / connected component: 0 63 Invert exact Schur complement for adaptive selection: 0 64 Symmetric computation of primal basis functions: 1 65 Num. Procs. to map coarse adjacency list: 0 66 Coarse eqs per proc (significant at the coarsest level): 1 67 Detect disconnected: 0 (filter 0) 68 Benign subspace trick: 0 (change explicit 0) 69 Benign subspace trick is active: 0 70 Algebraic computation of no-net-flux: 0 71 ********************************** STATISTICS AT LEVEL 0 ********************************** 72 Global dofs sizes: all 49 interface 13 coarse 5 73 Coarsening ratios: all/coarse 9 interface/coarse 2 74 Active processes : 4 75 Total subdomains : 4 76 Dofs type : MIN MAX MEAN 77 Interior dofs : 9 9 9 78 Interface dofs : 7 7 7 79 Primal dofs : 3 3 3 80 Local dofs : 16 16 16 81 Local subs : 1 1 82 --- Interior solver (rank 0) 83 KSP Object: (pc_bddc_dirichlet_) 1 MPI processes 84 type: preonly 85 maximum iterations=10000, initial guess is zero 86 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 87 left preconditioning 88 using NONE norm type for convergence test 89 PC Object: (pc_bddc_dirichlet_) 1 MPI processes 90 type: lu 91 out-of-place factorization 92 tolerance for zero pivot 2.22045e-14 93 matrix ordering: nd 94 factor fill ratio given 5., needed 1.43902 95 Factored matrix follows: 96 Mat Object: 1 MPI processes 97 type: seqaij 98 rows=9, cols=9 99 package used to perform factorization: petsc 100 total: nonzeros=59, allocated nonzeros=59 101 total number of mallocs used during MatSetValues calls=0 102 using I-node routines: found 7 nodes, limit used is 5 103 linear system matrix = precond matrix: 104 Mat Object: (pc_bddc_dirichlet_) 1 MPI processes 105 type: seqaij 106 rows=9, cols=9 107 total: nonzeros=41, allocated nonzeros=41 108 total number of mallocs used during MatSetValues calls=0 109 not using I-node routines 110 --- Correction solver (rank 0) 111 KSP Object: (pc_bddc_neumann_) 1 MPI processes 112 type: preonly 113 maximum iterations=10000, initial guess is zero 114 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 115 left preconditioning 116 using NONE norm type for convergence test 117 PC Object: (pc_bddc_neumann_) 1 MPI processes 118 type: lu 119 out-of-place factorization 120 tolerance for zero pivot 2.22045e-14 121 matrix ordering: nd 122 factor fill ratio given 5., needed 1.29333 123 Factored matrix follows: 124 Mat Object: 1 MPI processes 125 type: seqaij 126 rows=15, cols=15 127 package used to perform factorization: petsc 128 total: nonzeros=97, allocated nonzeros=97 129 total number of mallocs used during MatSetValues calls=0 130 not using I-node routines 131 linear system matrix = precond matrix: 132 Mat Object: (pc_bddc_neumann_) 1 MPI processes 133 type: seqaij 134 rows=15, cols=15 135 total: nonzeros=75, allocated nonzeros=75 136 total number of mallocs used during MatSetValues calls=0 137 not using I-node routines 138 --- Coarse solver 139 KSP Object: (pc_bddc_coarse_) 4 MPI processes 140 type: preonly 141 maximum iterations=1, initial guess is zero 142 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 143 left preconditioning 144 using NONE norm type for convergence test 145 PC Object: (pc_bddc_coarse_) 4 MPI processes 146 type: redundant 147 First (color=0) of 4 PCs follows 148 linear system matrix = precond matrix: 149 Mat Object: (pc_bddc_coarse_) 4 MPI processes 150 type: mpiaij 151 rows=5, cols=5 152 total: nonzeros=21, allocated nonzeros=25 153 total number of mallocs used during MatSetValues calls=0 154 using I-node (on process 0) routines: found 1 nodes, limit used is 5 155 KSP Object: (pc_bddc_coarse_redundant_) 1 MPI processes 156 type: preonly 157 maximum iterations=10000, initial guess is zero 158 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 159 left preconditioning 160 using NONE norm type for convergence test 161 PC Object: (pc_bddc_coarse_redundant_) 1 MPI processes 162 type: lu 163 out-of-place factorization 164 tolerance for zero pivot 2.22045e-14 165 matrix ordering: nd 166 factor fill ratio given 5., needed 1.09524 167 Factored matrix follows: 168 Mat Object: 1 MPI processes 169 type: seqaij 170 rows=5, cols=5 171 package used to perform factorization: petsc 172 total: nonzeros=23, allocated nonzeros=23 173 total number of mallocs used during MatSetValues calls=0 174 using I-node routines: found 3 nodes, limit used is 5 175 linear system matrix = precond matrix: 176 Mat Object: 1 MPI processes 177 type: seqaij 178 rows=5, cols=5 179 total: nonzeros=21, allocated nonzeros=21 180 total number of mallocs used during MatSetValues calls=0 181 not using I-node routines 182 linear system matrix = precond matrix: 183 Mat Object: 4 MPI processes 184 type: is 185 rows=49, cols=49 186 total: nonzeros=328, allocated nonzeros=386 187 total number of mallocs used during MatSetValues calls=0 188