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 using I-node routines: found 7 nodes, limit used is 5 102 linear system matrix = precond matrix: 103 Mat Object: (pc_bddc_dirichlet_) 1 MPI processes 104 type: seqaij 105 rows=9, cols=9 106 total: nonzeros=41, allocated nonzeros=41 107 total number of mallocs used during MatSetValues calls=0 108 not using I-node routines 109 --- Correction solver (rank 0) 110 KSP Object: (pc_bddc_neumann_) 1 MPI processes 111 type: preonly 112 maximum iterations=10000, initial guess is zero 113 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 114 left preconditioning 115 using NONE norm type for convergence test 116 PC Object: (pc_bddc_neumann_) 1 MPI processes 117 type: lu 118 out-of-place factorization 119 tolerance for zero pivot 2.22045e-14 120 matrix ordering: nd 121 factor fill ratio given 5., needed 1.29333 122 Factored matrix follows: 123 Mat Object: 1 MPI processes 124 type: seqaij 125 rows=15, cols=15 126 package used to perform factorization: petsc 127 total: nonzeros=97, allocated nonzeros=97 128 not using I-node routines 129 linear system matrix = precond matrix: 130 Mat Object: (pc_bddc_neumann_) 1 MPI processes 131 type: seqaij 132 rows=15, cols=15 133 total: nonzeros=75, allocated nonzeros=75 134 total number of mallocs used during MatSetValues calls=0 135 not using I-node routines 136 --- Coarse solver 137 KSP Object: (pc_bddc_coarse_) 4 MPI processes 138 type: preonly 139 maximum iterations=1, initial guess is zero 140 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 141 left preconditioning 142 using NONE norm type for convergence test 143 PC Object: (pc_bddc_coarse_) 4 MPI processes 144 type: redundant 145 First (color=0) of 4 PCs follows 146 linear system matrix = precond matrix: 147 Mat Object: (pc_bddc_coarse_) 4 MPI processes 148 type: mpiaij 149 rows=5, cols=5 150 total: nonzeros=21, allocated nonzeros=25 151 total number of mallocs used during MatSetValues calls=0 152 using I-node (on process 0) routines: found 1 nodes, limit used is 5 153 KSP Object: (pc_bddc_coarse_redundant_) 1 MPI processes 154 type: preonly 155 maximum iterations=10000, initial guess is zero 156 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 157 left preconditioning 158 using NONE norm type for convergence test 159 PC Object: (pc_bddc_coarse_redundant_) 1 MPI processes 160 type: lu 161 out-of-place factorization 162 tolerance for zero pivot 2.22045e-14 163 matrix ordering: nd 164 factor fill ratio given 5., needed 1.09524 165 Factored matrix follows: 166 Mat Object: 1 MPI processes 167 type: seqaij 168 rows=5, cols=5 169 package used to perform factorization: petsc 170 total: nonzeros=23, allocated nonzeros=23 171 using I-node routines: found 3 nodes, limit used is 5 172 linear system matrix = precond matrix: 173 Mat Object: 1 MPI processes 174 type: seqaij 175 rows=5, cols=5 176 total: nonzeros=21, allocated nonzeros=21 177 total number of mallocs used during MatSetValues calls=0 178 not using I-node routines 179 linear system matrix = precond matrix: 180 Mat Object: 4 MPI processes 181 type: is 182 rows=49, cols=49 183 total: nonzeros=328, allocated nonzeros=386 184 total number of mallocs used during MatSetValues calls=0 185