1 0 SNES Function norm 1.32334 2 Residual norms for mg_levels_1_ solve. 3 0 KSP Residual norm 1.3212 4 1 KSP Residual norm 0.299275 5 2 KSP Residual norm 0.043515 6 Residual norms for mg_levels_1_ solve. 7 0 KSP Residual norm 0.0408746 8 1 KSP Residual norm 0.00715117 9 2 KSP Residual norm 0.00200882 10 Residual norms for mg_levels_2_ solve. 11 0 KSP Residual norm 1.34445 12 1 KSP Residual norm 0.289515 13 2 KSP Residual norm 0.0546877 14 Residual norms for mg_levels_1_ solve. 15 0 KSP Residual norm 0.0380401 16 1 KSP Residual norm 0.00836889 17 2 KSP Residual norm 0.00486415 18 Residual norms for mg_levels_1_ solve. 19 0 KSP Residual norm 0.00592336 20 1 KSP Residual norm 0.00127555 21 2 KSP Residual norm 0.000253948 22 Residual norms for mg_levels_2_ solve. 23 0 KSP Residual norm 0.0502885 24 1 KSP Residual norm 0.00692009 25 2 KSP Residual norm 0.00304318 26 0 KSP Residual norm 5.82901 27 Residual norms for mg_levels_1_ solve. 28 0 KSP Residual norm 0.22657 29 1 KSP Residual norm 0.0513167 30 2 KSP Residual norm 0.00746422 31 Residual norms for mg_levels_1_ solve. 32 0 KSP Residual norm 0.00701122 33 1 KSP Residual norm 0.0012265 34 2 KSP Residual norm 0.000344611 35 Residual norms for mg_levels_2_ solve. 36 0 KSP Residual norm 0.230327 37 1 KSP Residual norm 0.0496328 38 2 KSP Residual norm 0.00935522 39 Residual norms for mg_levels_1_ solve. 40 0 KSP Residual norm 0.00652181 41 1 KSP Residual norm 0.00143468 42 2 KSP Residual norm 0.000834414 43 Residual norms for mg_levels_1_ solve. 44 0 KSP Residual norm 0.00101614 45 1 KSP Residual norm 0.000218815 46 2 KSP Residual norm 4.35646e-05 47 Residual norms for mg_levels_2_ solve. 48 0 KSP Residual norm 0.0085981 49 1 KSP Residual norm 0.00118416 50 2 KSP Residual norm 0.000520109 51 1 KSP Residual norm 0.00134258 52 Residual norms for mg_levels_1_ solve. 53 0 KSP Residual norm 0.524964 54 1 KSP Residual norm 0.103069 55 2 KSP Residual norm 0.0217471 56 Residual norms for mg_levels_1_ solve. 57 0 KSP Residual norm 0.0207058 58 1 KSP Residual norm 0.00314867 59 2 KSP Residual norm 0.00113072 60 Residual norms for mg_levels_2_ solve. 61 0 KSP Residual norm 1.8397 62 1 KSP Residual norm 0.217655 63 2 KSP Residual norm 0.117319 64 Residual norms for mg_levels_1_ solve. 65 0 KSP Residual norm 0.0498378 66 1 KSP Residual norm 0.0109218 67 2 KSP Residual norm 0.00247682 68 Residual norms for mg_levels_1_ solve. 69 0 KSP Residual norm 0.00270397 70 1 KSP Residual norm 0.000566248 71 2 KSP Residual norm 0.000118256 72 Residual norms for mg_levels_2_ solve. 73 0 KSP Residual norm 0.11456 74 1 KSP Residual norm 0.012674 75 2 KSP Residual norm 0.00749368 76 2 KSP Residual norm 2.52518e-06 77 1 SNES Function norm 0.0426538 78 Residual norms for mg_levels_1_ solve. 79 0 KSP Residual norm 0.0793943 80 1 KSP Residual norm 0.017905 81 2 KSP Residual norm 0.00276128 82 Residual norms for mg_levels_1_ solve. 83 0 KSP Residual norm 0.000710871 84 1 KSP Residual norm 0.000148814 85 2 KSP Residual norm 2.61706e-05 86 Residual norms for mg_levels_2_ solve. 87 0 KSP Residual norm 0.0422535 88 1 KSP Residual norm 0.0104256 89 2 KSP Residual norm 0.000711525 90 Residual norms for mg_levels_1_ solve. 91 0 KSP Residual norm 0.00102555 92 1 KSP Residual norm 0.000703008 93 2 KSP Residual norm 0.000457301 94 Residual norms for mg_levels_1_ solve. 95 0 KSP Residual norm 0.000432665 96 1 KSP Residual norm 9.69389e-05 97 2 KSP Residual norm 1.52326e-05 98 Residual norms for mg_levels_2_ solve. 99 0 KSP Residual norm 0.000226183 100 1 KSP Residual norm 4.76493e-05 101 2 KSP Residual norm 1.0857e-05 102 0 KSP Residual norm 0.780398 103 Residual norms for mg_levels_1_ solve. 104 0 KSP Residual norm 0.101721 105 1 KSP Residual norm 0.0229401 106 2 KSP Residual norm 0.00353783 107 Residual norms for mg_levels_1_ solve. 108 0 KSP Residual norm 0.000910901 109 1 KSP Residual norm 0.000190679 110 2 KSP Residual norm 3.35381e-05 111 Residual norms for mg_levels_2_ solve. 112 0 KSP Residual norm 0.0541359 113 1 KSP Residual norm 0.0133576 114 2 KSP Residual norm 0.000911499 115 Residual norms for mg_levels_1_ solve. 116 0 KSP Residual norm 0.00131394 117 1 KSP Residual norm 0.000900707 118 2 KSP Residual norm 0.000585904 119 Residual norms for mg_levels_1_ solve. 120 0 KSP Residual norm 0.000554339 121 1 KSP Residual norm 0.0001242 122 2 KSP Residual norm 1.95163e-05 123 Residual norms for mg_levels_2_ solve. 124 0 KSP Residual norm 0.00028944 125 1 KSP Residual norm 6.10183e-05 126 2 KSP Residual norm 1.38846e-05 127 1 KSP Residual norm 1.23638e-05 128 Residual norms for mg_levels_1_ solve. 129 0 KSP Residual norm 0.396136 130 1 KSP Residual norm 0.0823979 131 2 KSP Residual norm 0.0138349 132 Residual norms for mg_levels_1_ solve. 133 0 KSP Residual norm 0.0143355 134 1 KSP Residual norm 0.0024337 135 2 KSP Residual norm 0.000681786 136 Residual norms for mg_levels_2_ solve. 137 0 KSP Residual norm 0.624996 138 1 KSP Residual norm 0.0849283 139 2 KSP Residual norm 0.0370791 140 Residual norms for mg_levels_1_ solve. 141 0 KSP Residual norm 0.0121259 142 1 KSP Residual norm 0.00254363 143 2 KSP Residual norm 0.000483193 144 Residual norms for mg_levels_1_ solve. 145 0 KSP Residual norm 0.000359102 146 1 KSP Residual norm 6.39233e-05 147 2 KSP Residual norm 1.7077e-05 148 Residual norms for mg_levels_2_ solve. 149 0 KSP Residual norm 0.0361135 150 1 KSP Residual norm 0.00417517 151 2 KSP Residual norm 0.002293 152 2 KSP Residual norm 1.0644e-08 153 2 SNES Function norm 0.000676784 154 Residual norms for mg_levels_1_ solve. 155 0 KSP Residual norm 0.00128086 156 1 KSP Residual norm 0.000282989 157 2 KSP Residual norm 4.71378e-05 158 Residual norms for mg_levels_1_ solve. 159 0 KSP Residual norm 1.75471e-05 160 1 KSP Residual norm 3.47885e-06 161 2 KSP Residual norm 7.25532e-07 162 Residual norms for mg_levels_2_ solve. 163 0 KSP Residual norm 0.000688903 164 1 KSP Residual norm 0.000169178 165 2 KSP Residual norm 1.32901e-05 166 Residual norms for mg_levels_1_ solve. 167 0 KSP Residual norm 1.991e-05 168 1 KSP Residual norm 1.14298e-05 169 2 KSP Residual norm 7.56087e-06 170 Residual norms for mg_levels_1_ solve. 171 0 KSP Residual norm 7.30858e-06 172 1 KSP Residual norm 1.64187e-06 173 2 KSP Residual norm 2.5929e-07 174 Residual norms for mg_levels_2_ solve. 175 0 KSP Residual norm 4.03112e-06 176 1 KSP Residual norm 9.40672e-07 177 2 KSP Residual norm 1.73312e-07 178 0 KSP Residual norm 0.0123756 179 Residual norms for mg_levels_1_ solve. 180 0 KSP Residual norm 0.103481 181 1 KSP Residual norm 0.0228627 182 2 KSP Residual norm 0.00380829 183 Residual norms for mg_levels_1_ solve. 184 0 KSP Residual norm 0.00141765 185 1 KSP Residual norm 0.000281056 186 2 KSP Residual norm 5.86174e-05 187 Residual norms for mg_levels_2_ solve. 188 0 KSP Residual norm 0.0556575 189 1 KSP Residual norm 0.0136682 190 2 KSP Residual norm 0.00107369 191 Residual norms for mg_levels_1_ solve. 192 0 KSP Residual norm 0.00160855 193 1 KSP Residual norm 0.000923429 194 2 KSP Residual norm 0.000610855 195 Residual norms for mg_levels_1_ solve. 196 0 KSP Residual norm 0.000590472 197 1 KSP Residual norm 0.000132649 198 2 KSP Residual norm 2.09484e-05 199 Residual norms for mg_levels_2_ solve. 200 0 KSP Residual norm 0.000325537 201 1 KSP Residual norm 7.59825e-05 202 2 KSP Residual norm 1.39924e-05 203 1 KSP Residual norm 2.71146e-07 204 Residual norms for mg_levels_1_ solve. 205 0 KSP Residual norm 0.384332 206 1 KSP Residual norm 0.0842136 207 2 KSP Residual norm 0.0117152 208 Residual norms for mg_levels_1_ solve. 209 0 KSP Residual norm 0.0119953 210 1 KSP Residual norm 0.00218223 211 2 KSP Residual norm 0.000525707 212 Residual norms for mg_levels_2_ solve. 213 0 KSP Residual norm 0.307391 214 1 KSP Residual norm 0.0524142 215 2 KSP Residual norm 0.0157681 216 Residual norms for mg_levels_1_ solve. 217 0 KSP Residual norm 0.00668548 218 1 KSP Residual norm 0.00129655 219 2 KSP Residual norm 0.000287599 220 Residual norms for mg_levels_1_ solve. 221 0 KSP Residual norm 0.00021681 222 1 KSP Residual norm 4.00612e-05 223 2 KSP Residual norm 1.00219e-05 224 Residual norms for mg_levels_2_ solve. 225 0 KSP Residual norm 0.0154905 226 1 KSP Residual norm 0.00200478 227 2 KSP Residual norm 0.0009371 228 2 KSP Residual norm 1.134e-10 229 3 SNES Function norm 1.8565e-07 230SNES Object: 1 MPI process 231 type: newtonls 232 maximum iterations=50, maximum function evaluations=10000 233 tolerances: relative=1e-05, absolute=1e-50, solution=1e-08 234 total number of linear solver iterations=6 235 total number of function evaluations=4 236 norm schedule ALWAYS 237 Jacobian is built using a DMDA local Jacobian 238 SNESLineSearch Object: 1 MPI process 239 type: bt 240 interpolation: cubic 241 alpha=1.000000e-04 242 maxlambda=1.000000e+00, minlambda=1.000000e-12 243 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 244 maximum iterations=40 245 KSP Object: 1 MPI process 246 type: gmres 247 restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement 248 happy breakdown tolerance=1e-30 249 maximum iterations=10000, initial guess is zero 250 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 251 left preconditioning 252 using PRECONDITIONED norm type for convergence test 253 PC Object: 1 MPI process 254 type: mg 255 type is FULL, levels=3 cycles=v 256 Using Galerkin computed coarse grid matrices for pmat 257 Coarse grid solver -- level 0 ------------------------------- 258 KSP Object: (mg_coarse_) 1 MPI process 259 type: preonly 260 maximum iterations=10000, initial guess is zero 261 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 262 left preconditioning 263 not checking for convergence 264 PC Object: (mg_coarse_) 1 MPI process 265 type: lu 266 out-of-place factorization 267 tolerance for zero pivot 2.22045e-14 268 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] 269 matrix ordering: nd 270 factor fill ratio given 5., needed 1.59172 271 Factored matrix: 272 Mat Object: (mg_coarse_) 1 MPI process 273 type: seqaij 274 rows=25, cols=25 275 package used to perform factorization: petsc 276 total: nonzeros=269, allocated nonzeros=269 277 using I-node routines: found 17 nodes, limit used is 5 278 linear system matrix, which is also used to construct the preconditioner: 279 Mat Object: 1 MPI process 280 type: seqaij 281 rows=25, cols=25 282 total: nonzeros=169, allocated nonzeros=169 283 total number of mallocs used during MatSetValues calls=0 284 not using I-node routines 285 Down solver (pre-smoother) on level 1 ------------------------------- 286 KSP Object: (mg_levels_1_) 1 MPI process 287 type: chebyshev 288 Chebyshev polynomial of first kind 289 eigenvalue targets used: min 0.499526, max 1.09896 290 eigenvalues estimated via gmres: min 0.229855, max 0.999052 291 eigenvalues estimated using gmres with transform: [0. 0.5; 0. 1.1] 292 KSP Object: (mg_levels_1_esteig_) 1 MPI process 293 type: gmres 294 restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement 295 happy breakdown tolerance=1e-30 296 maximum iterations=10, initial guess is zero 297 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 298 left preconditioning 299 using PRECONDITIONED norm type for convergence test 300 estimating eigenvalues using a noisy random number generated right-hand side 301 maximum iterations=2, nonzero initial guess 302 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 303 left preconditioning 304 not checking for convergence 305 PC Object: (mg_levels_1_) 1 MPI process 306 type: sor 307 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 308 linear system matrix, which is also used to construct the preconditioner: 309 Mat Object: 1 MPI process 310 type: seqaij 311 rows=81, cols=81 312 total: nonzeros=625, allocated nonzeros=625 313 total number of mallocs used during MatSetValues calls=0 314 not using I-node routines 315 Up solver (post-smoother) same as down solver (pre-smoother) 316 Down solver (pre-smoother) on level 2 ------------------------------- 317 KSP Object: (mg_levels_2_) 1 MPI process 318 type: chebyshev 319 Chebyshev polynomial of first kind 320 eigenvalue targets used: min 0.499175, max 1.09819 321 eigenvalues estimated via gmres: min 0.050574, max 0.998351 322 eigenvalues estimated using gmres with transform: [0. 0.5; 0. 1.1] 323 KSP Object: (mg_levels_2_esteig_) 1 MPI process 324 type: gmres 325 restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement 326 happy breakdown tolerance=1e-30 327 maximum iterations=10, initial guess is zero 328 tolerances: relative=1e-12, absolute=1e-50, divergence=10000. 329 left preconditioning 330 using PRECONDITIONED norm type for convergence test 331 estimating eigenvalues using a noisy random number generated right-hand side 332 maximum iterations=2, nonzero initial guess 333 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 334 left preconditioning 335 not checking for convergence 336 PC Object: (mg_levels_2_) 1 MPI process 337 type: sor 338 type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. 339 linear system matrix, which is also used to construct the preconditioner: 340 Mat Object: 1 MPI process 341 type: seqaij 342 rows=289, cols=289 343 total: nonzeros=1377, allocated nonzeros=1377 344 total number of mallocs used during MatSetValues calls=0 345 not using I-node routines 346 Up solver (post-smoother) same as down solver (pre-smoother) 347 linear system matrix, which is also used to construct the preconditioner: 348 Mat Object: 1 MPI process 349 type: seqaij 350 rows=289, cols=289 351 total: nonzeros=1377, allocated nonzeros=1377 352 total number of mallocs used during MatSetValues calls=0 353 not using I-node routines 354