1DM Object: Distributed Mesh 5 MPI processes 2 type: plex 3Distributed Mesh in 2 dimensions: 4 0-cells: 29 29 30 15 15 5 1-cells: 60 60 60 30 30 6 2-cells: 32 32 32 16 16 7Labels: 8 celltype: 3 strata with value/size (1 (60), 3 (32), 0 (29)) 9 depth: 3 strata with value/size (0 (29), 1 (60), 2 (32)) 10 marker: 2 strata with value/size (1 (8), 4 (17)) 11 Face Sets: 2 strata with value/size (1 (7), 4 (14)) 12 markerBottom: 1 strata with value/size (1 (8)) 13 markerRight: 0 strata with value/size () 14 markerTop: 0 strata with value/size () 15 markerLeft: 1 strata with value/size (1 (17)) 16Integral of pressure: 0. 17SNES Object: 5 MPI processes 18 type: newtonls 19 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 20 norm schedule ALWAYS 21 SNESLineSearch Object: 5 MPI processes 22 type: bt 23 interpolation: cubic 24 alpha=1.000000e-04 25 maxstep=1.000000e+08, minlambda=1.000000e-12 26 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 27 maximum iterations=40 28 KSP Object: 5 MPI processes 29 type: fetidp 30 fully redundant: 0 31 saddle point: 1 32 Inner KSP solver details 33 KSP Object: (fetidp_) 5 MPI processes 34 type: cg 35 maximum iterations=10000, initial guess is zero 36 tolerances: relative=1e-12, absolute=1e-10, divergence=10000. 37 left preconditioning 38 using NATURAL norm type for convergence test 39 PC Object: (fetidp_) 5 MPI processes 40 type: fieldsplit 41 FieldSplit with Schur preconditioner, factorization DIAG 42 Preconditioner for the Schur complement formed from user provided matrix 43 Split info: 44 Split number 0 Defined by IS 45 Split number 1 Defined by IS 46 KSP solver for A00 block 47 KSP Object: (fetidp_fieldsplit_lag_) 5 MPI processes 48 type: preonly 49 maximum iterations=10000, initial guess is zero 50 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 51 left preconditioning 52 using NONE norm type for convergence test 53 PC Object: (fetidp_fieldsplit_lag_) 5 MPI processes 54 type: shell 55 FETI-DP multipliers 56 Lumped preconditioner (just from rank 0) 57 Mat Object: 1 MPI processes 58 type: seqaij 59 rows=59, cols=59 60 total: nonzeros=651, allocated nonzeros=651 61 total number of mallocs used during MatSetValues calls=0 62 using I-node routines: found 25 nodes, limit used is 5 63 linear system matrix = precond matrix: 64 Mat Object: (fetidp_fieldsplit_lag_) 5 MPI processes 65 type: submatrix 66 rows=112, cols=112 67 KSP solver for S = A11 - A10 inv(A00) A01 68 KSP Object: (fetidp_fieldsplit_p_) 5 MPI processes 69 type: preonly 70 maximum iterations=10000, initial guess is zero 71 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 72 left preconditioning 73 using NONE norm type for convergence test 74 PC Object: (fetidp_fieldsplit_p_) 5 MPI processes 75 type: jacobi 76 linear system matrix followed by preconditioner matrix: 77 Mat Object: (fetidp_fieldsplit_p_) 5 MPI processes 78 type: schurcomplement 79 rows=31, cols=31 80 Schur complement A11 - A10 inv(A00) A01 81 A11 82 Mat Object: (fetidp_fieldsplit_p_) 5 MPI processes 83 type: submatrix 84 rows=31, cols=31 85 A10 86 Mat Object: 5 MPI processes 87 type: submatrix 88 rows=31, cols=112 89 KSP of A00 90 KSP Object: (fetidp_fieldsplit_lag_) 5 MPI processes 91 type: preonly 92 maximum iterations=10000, initial guess is zero 93 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 94 left preconditioning 95 using NONE norm type for convergence test 96 PC Object: (fetidp_fieldsplit_lag_) 5 MPI processes 97 type: shell 98 FETI-DP multipliers 99 Lumped preconditioner (just from rank 0) 100 Mat Object: 1 MPI processes 101 type: seqaij 102 rows=59, cols=59 103 total: nonzeros=651, allocated nonzeros=651 104 total number of mallocs used during MatSetValues calls=0 105 using I-node routines: found 25 nodes, limit used is 5 106 linear system matrix = precond matrix: 107 Mat Object: (fetidp_fieldsplit_lag_) 5 MPI processes 108 type: submatrix 109 rows=112, cols=112 110 A01 111 Mat Object: 5 MPI processes 112 type: submatrix 113 rows=112, cols=31 114 Mat Object: 5 MPI processes 115 type: is 116 rows=31, cols=31 117 total: nonzeros=216, allocated nonzeros=216 118 total number of mallocs used during MatSetValues calls=0 119 linear system matrix = precond matrix: 120 Mat Object: G (fetidp_) 5 MPI processes 121 type: shell 122 rows=143, cols=143 123 Inner BDDC solver details 124 PC Object: (fetidp_bddc_) 5 MPI processes 125 type: bddc 126 Use verbose output: 0 127 Use user-defined CSR: 0 128 Use local mat graph: 1 129 Connectivity graph topological dimension: 2 130 Graph max count: 2 131 Use vertices: 1 (vertex size 3) 132 Use edges: 1 133 Use faces: 0 134 Use true near null space: 0 135 Use QR for single constraints on cc: 0 136 Use change of basis on local edge nodes: 0 137 Use change of basis on local face nodes: 0 138 User defined change of basis matrix: 0 139 Has change of basis matrix: 0 140 Eliminate dirichlet boundary dofs: 1 141 Switch on static condensation ops around the interface preconditioner: 1 142 Use exact dirichlet trick: 0 143 Interface extension: DIRICHLET 144 Multilevel max levels: 0 145 Multilevel coarsening ratio: 8 146 Use estimated eigs for coarse problem: 0 147 Use deluxe scaling: 0 148 Use deluxe zerorows: 0 149 Use deluxe singlemat: 0 150 Rebuild interface graph for Schur principal minors: 0 151 Number of dofs' layers for the computation of principal minors: -1 152 Use user CSR graph to compute successive layers: 0 153 Adaptive constraint selection threshold (active 0, userdefined 0): 0. 154 Min constraints / connected component: 0 155 Max constraints / connected component: 0 156 Invert exact Schur complement for adaptive selection: 0 157 Symmetric computation of primal basis functions: 1 158 Num. Procs. to map coarse adjacency list: 0 159 Coarse eqs per proc (significant at the coarsest level): 1 160 Detect disconnected: 1 (filter 0) 161 Benign subspace trick: 0 (change explicit 0) 162 Benign subspace trick is active: 0 163 Algebraic computation of no-net-flux: 0 164 ********************************** STATISTICS AT LEVEL 0 ********************************** 165 Global dofs sizes: all 591 interface 149 coarse 6 166 Coarsening ratios: all/coarse 98 interface/coarse 24 167 Active processes : 5 168 Total subdomains : 8 169 Dofs type : MIN MAX MEAN 170 Interior dofs : 45 121 88 171 Interface dofs : 40 95 62 172 Primal dofs : 3 5 4 173 Local dofs : 95 195 151 174 Local subs : 1 2 175 --- Interior solver (rank 0) 176 KSP Object: (fetidp_bddc_pc_bddc_dirichlet_) 1 MPI processes 177 type: preonly 178 maximum iterations=10000, initial guess is zero 179 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 180 left preconditioning 181 using NONE norm type for convergence test 182 PC Object: (fetidp_bddc_pc_bddc_dirichlet_) 1 MPI processes 183 type: none 184 linear system matrix = precond matrix: 185 Mat Object: (fetidp_bddc_pc_bddc_dirichlet_) 1 MPI processes 186 type: seqaij 187 rows=121, cols=121 188 total: nonzeros=2225, allocated nonzeros=2225 189 total number of mallocs used during MatSetValues calls=0 190 using I-node routines: found 64 nodes, limit used is 5 191 --- Correction solver (rank 0) 192 KSP Object: (fetidp_bddc_pc_bddc_neumann_) 1 MPI processes 193 type: preonly 194 maximum iterations=1000, initial guess is zero 195 tolerances: relative=1e-10, absolute=1e-10, divergence=10000. 196 left preconditioning 197 using NONE norm type for convergence test 198 PC Object: (fetidp_bddc_pc_bddc_neumann_) 1 MPI processes 199 type: svd 200 All singular values smaller than 1e-12 treated as zero 201 Provided essential rank of the matrix 0 (all other eigenvalues are zeroed) 202 linear system matrix = precond matrix: 203 Mat Object: (fetidp_bddc_pc_bddc_neumann_) 1 MPI processes 204 type: seqaij 205 rows=176, cols=176 206 total: nonzeros=3856, allocated nonzeros=3856 207 total number of mallocs used during MatSetValues calls=0 208 using I-node routines: found 85 nodes, limit used is 5 209 --- Coarse solver 210 KSP Object: (fetidp_bddc_pc_bddc_coarse_) 5 MPI processes 211 type: preonly 212 maximum iterations=1000, initial guess is zero 213 tolerances: relative=1e-10, absolute=1e-10, divergence=10000. 214 left preconditioning 215 using NONE norm type for convergence test 216 PC Object: (fetidp_bddc_pc_bddc_coarse_) 5 MPI processes 217 type: redundant 218 First (color=0) of 5 PCs follows 219 linear system matrix = precond matrix: 220 Mat Object: (fetidp_bddc_pc_bddc_coarse_) 5 MPI processes 221 type: mpiaij 222 rows=6, cols=6 223 total: nonzeros=34, allocated nonzeros=36 224 total number of mallocs used during MatSetValues calls=0 225 using I-node (on process 0) routines: found 1 nodes, limit used is 5 226 KSP Object: (fetidp_bddc_pc_bddc_coarse_redundant_) 1 MPI processes 227 type: preonly 228 maximum iterations=10000, initial guess is zero 229 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 230 left preconditioning 231 using NONE norm type for convergence test 232 PC Object: (fetidp_bddc_pc_bddc_coarse_redundant_) 1 MPI processes 233 type: cholesky 234 out-of-place factorization 235 tolerance for zero pivot 2.22045e-14 236 matrix ordering: nd 237 factor fill ratio given 5., needed 1. 238 Factored matrix follows: 239 Mat Object: 1 MPI processes 240 type: seqsbaij 241 rows=6, cols=6 242 package used to perform factorization: petsc 243 total: nonzeros=20, allocated nonzeros=20 244 total number of mallocs used during MatSetValues calls=0 245 block size is 1 246 linear system matrix = precond matrix: 247 Mat Object: 1 MPI processes 248 type: seqaij 249 rows=6, cols=6 250 total: nonzeros=34, allocated nonzeros=34 251 total number of mallocs used during MatSetValues calls=0 252 using I-node routines: found 3 nodes, limit used is 5 253 linear system matrix = precond matrix: 254 Mat Object: 5 MPI processes 255 type: is 256 rows=591, cols=591 257 total: nonzeros=17047, allocated nonzeros=17047 258 total number of mallocs used during MatSetValues calls=0 259 has attached near null space 260 maximum iterations=10000, initial guess is zero 261 tolerances: relative=1e-12, absolute=1e-10, divergence=10000. 262 left preconditioning 263 using NONE norm type for convergence test 264 PC Object: 5 MPI processes 265 type: none 266 linear system matrix followed by preconditioner matrix: 267 Mat Object: 5 MPI processes 268 type: is 269 rows=591, cols=591 270 total: nonzeros=17047, allocated nonzeros=20789 271 total number of mallocs used during MatSetValues calls=0 272 has attached null space 273 Mat Object: 5 MPI processes 274 type: is 275 rows=591, cols=591 276 total: nonzeros=17047, allocated nonzeros=20789 277 total number of mallocs used during MatSetValues calls=0 278L_2 Error: 0.00151 [9.32e-06, 0.00151] 279Integral of pressure: 0. 280