From: buerg Date: Sat, 4 Jun 2011 08:27:54 +0000 (+0000) Subject: Add test. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=73bf48ea3cae31b779b7fc53e8f736928cc914f6;p=dealii-svn.git Add test. git-svn-id: https://svn.dealii.org/trunk@23790 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/tests/deal.II/no_flux_hp_01.cc b/tests/deal.II/no_flux_hp_01.cc new file mode 100644 index 0000000000..e820967ca0 --- /dev/null +++ b/tests/deal.II/no_flux_hp_01.cc @@ -0,0 +1,77 @@ +// check the creation of no-flux boundary conditions for a finite +// element that consists of only a single set of vector components +// (i.e. it has dim components) + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + + +template +void test (const Triangulation& tr, + const hp::FECollection& fe) +{ + hp::DoFHandler dof(tr); + dof.distribute_dofs(fe); + + for (unsigned int i=0; i::faces_per_cell; ++i) + { + deallog << "FE=" << fe[0].get_name() + << ", case=" << i + << std::endl; + + std::set boundary_ids; + for (unsigned int j=0; j<=i; ++j) + boundary_ids.insert (j); + + ConstraintMatrix cm; + VectorTools::compute_no_normal_flux_constraints (dof, 0, boundary_ids, cm); + + cm.print (deallog.get_file_stream ()); + } +} + + +template +void test_hyper_cube() +{ + Triangulation tr; + GridGenerator::hyper_cube(tr); + + for (unsigned int i=0; i::faces_per_cell; ++i) + tr.begin_active()->face(i)->set_boundary_indicator (i); + + tr.refine_global(2); + + for (unsigned int degree=1; degree<4; ++degree) + { + hp::FECollection fe (FESystem (FE_Q(degree), dim)); + test(tr, fe); + } +} + + +int main() +{ + std::ofstream logfile ("no_flux_hp_01/output"); + deallog << std::setprecision (2); + deallog << std::fixed; + deallog.attach(logfile); + deallog.depth_console (0); + deallog.threshold_double(1.e-12); + + test_hyper_cube<2>(); + test_hyper_cube<3>(); +} diff --git a/tests/deal.II/no_flux_hp_01/cmp/generic b/tests/deal.II/no_flux_hp_01/cmp/generic new file mode 100644 index 0000000000..fb9fa2ab8a --- /dev/null +++ b/tests/deal.II/no_flux_hp_01/cmp/generic @@ -0,0 +1,6076 @@ + +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=0 + 0 = 0 + 4 = 0 + 12 = 0 + 30 = 0 + 36 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=1 + 0 = 0 + 4 = 0 + 12 = 0 + 22 = 0 + 24 = 0 + 28 = 0 + 30 = 0 + 36 = 0 + 44 = 0 + 48 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=2 + 0 = 0 + 1 = 0 + 3 = 0 + 4 = 0 + 9 = 0 + 12 = 0 + 19 = 0 + 22 = 0 + 23 = 0 + 24 = 0 + 28 = 0 + 30 = 0 + 36 = 0 + 44 = 0 + 48 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=3 + 0 = 0 + 1 = 0 + 3 = 0 + 4 = 0 + 9 = 0 + 12 = 0 + 19 = 0 + 22 = 0 + 23 = 0 + 24 = 0 + 28 = 0 + 30 = 0 + 36 = 0 + 37 = 0 + 39 = 0 + 41 = 0 + 44 = 0 + 47 = 0 + 48 = 0 + 49 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=0 + 0 = 0 + 4 = 0 + 8 = 0 + 30 = 0 + 34 = 0 + 90 = 0 + 94 = 0 + 110 = 0 + 114 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=1 + 0 = 0 + 4 = 0 + 8 = 0 + 30 = 0 + 34 = 0 + 62 = 0 + 64 = 0 + 66 = 0 + 82 = 0 + 84 = 0 + 90 = 0 + 94 = 0 + 110 = 0 + 114 = 0 + 138 = 0 + 140 = 0 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=2 + 0 = 0 + 1 = 0 + 3 = 0 + 4 = 0 + 8 = 0 + 13 = 0 + 19 = 0 + 25 = 0 + 30 = 0 + 34 = 0 + 51 = 0 + 57 = 0 + 62 = 0 + 63 = 0 + 64 = 0 + 66 = 0 + 69 = 0 + 82 = 0 + 84 = 0 + 90 = 0 + 94 = 0 + 110 = 0 + 114 = 0 + 138 = 0 + 140 = 0 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=3 + 0 = 0 + 1 = 0 + 3 = 0 + 4 = 0 + 8 = 0 + 13 = 0 + 19 = 0 + 25 = 0 + 30 = 0 + 34 = 0 + 51 = 0 + 57 = 0 + 62 = 0 + 63 = 0 + 64 = 0 + 66 = 0 + 69 = 0 + 82 = 0 + 84 = 0 + 90 = 0 + 94 = 0 + 110 = 0 + 111 = 0 + 113 = 0 + 114 = 0 + 119 = 0 + 123 = 0 + 127 = 0 + 138 = 0 + 140 = 0 + 147 = 0 + 151 = 0 + 154 = 0 + 155 = 0 + 156 = 0 + 159 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=0 + 0 = 0 + 4 = 0 + 8 = 0 + 9 = 0 + 56 = 0 + 60 = 0 + 61 = 0 + 182 = 0 + 186 = 0 + 187 = 0 + 224 = 0 + 228 = 0 + 229 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=1 + 0 = 0 + 4 = 0 + 8 = 0 + 9 = 0 + 56 = 0 + 60 = 0 + 61 = 0 + 122 = 0 + 124 = 0 + 126 = 0 + 127 = 0 + 164 = 0 + 166 = 0 + 167 = 0 + 182 = 0 + 186 = 0 + 187 = 0 + 224 = 0 + 228 = 0 + 229 = 0 + 284 = 0 + 286 = 0 + 287 = 0 + 320 = 0 + 322 = 0 + 323 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=2 + 0 = 0 + 1 = 0 + 3 = 0 + 4 = 0 + 8 = 0 + 9 = 0 + 18 = 0 + 19 = 0 + 33 = 0 + 42 = 0 + 43 = 0 + 56 = 0 + 60 = 0 + 61 = 0 + 99 = 0 + 108 = 0 + 109 = 0 + 122 = 0 + 123 = 0 + 124 = 0 + 126 = 0 + 127 = 0 + 132 = 0 + 133 = 0 + 164 = 0 + 166 = 0 + 167 = 0 + 182 = 0 + 186 = 0 + 187 = 0 + 224 = 0 + 228 = 0 + 229 = 0 + 284 = 0 + 286 = 0 + 287 = 0 + 320 = 0 + 322 = 0 + 323 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=3 + 0 = 0 + 1 = 0 + 3 = 0 + 4 = 0 + 8 = 0 + 9 = 0 + 18 = 0 + 19 = 0 + 33 = 0 + 42 = 0 + 43 = 0 + 56 = 0 + 60 = 0 + 61 = 0 + 99 = 0 + 108 = 0 + 109 = 0 + 122 = 0 + 123 = 0 + 124 = 0 + 126 = 0 + 127 = 0 + 132 = 0 + 133 = 0 + 164 = 0 + 166 = 0 + 167 = 0 + 182 = 0 + 186 = 0 + 187 = 0 + 224 = 0 + 225 = 0 + 227 = 0 + 228 = 0 + 229 = 0 + 238 = 0 + 239 = 0 + 249 = 0 + 256 = 0 + 257 = 0 + 284 = 0 + 286 = 0 + 287 = 0 + 303 = 0 + 310 = 0 + 311 = 0 + 320 = 0 + 321 = 0 + 322 = 0 + 323 = 0 + 328 = 0 + 329 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=0 + 0 = 0 + 6 = 0 + 12 = 0 + 18 = 0 + 36 = 0 + 42 = 0 + 54 = 0 + 60 = 0 + 72 = 0 + 135 = 0 + 141 = 0 + 153 = 0 + 159 = 0 + 171 = 0 + 180 = 0 + 225 = 0 + 231 = 0 + 243 = 0 + 252 = 0 + 258 = 0 + 270 = 0 + 315 = 0 + 324 = 0 + 333 = 0 + 342 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=1 + 0 = 0 + 6 = 0 + 12 = 0 + 18 = 0 + 36 = 0 + 42 = 0 + 54 = 0 + 60 = 0 + 72 = 0 + 93 = 0 + 96 = 0 + 99 = 0 + 102 = 0 + 111 = 0 + 114 = 0 + 123 = 0 + 126 = 0 + 132 = 0 + 135 = 0 + 141 = 0 + 153 = 0 + 159 = 0 + 171 = 0 + 180 = 0 + 195 = 0 + 198 = 0 + 207 = 0 + 210 = 0 + 216 = 0 + 222 = 0 + 225 = 0 + 231 = 0 + 243 = 0 + 252 = 0 + 258 = 0 + 270 = 0 + 285 = 0 + 288 = 0 + 294 = 0 + 303 = 0 + 306 = 0 + 312 = 0 + 315 = 0 + 324 = 0 + 333 = 0 + 342 = 0 + 354 = 0 + 360 = 0 + 366 = 0 + 372 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=2 + 0 = 0 + 1 = 0 + 4 = 0 + 6 = 0 + 12 = 0 + 13 = 0 + 16 = 0 + 18 = 0 + 25 = 0 + 31 = 0 + 36 = 0 + 42 = 0 + 54 = 0 + 55 = 0 + 58 = 0 + 60 = 0 + 67 = 0 + 72 = 0 + 82 = 0 + 88 = 0 + 93 = 0 + 94 = 0 + 96 = 0 + 99 = 0 + 100 = 0 + 102 = 0 + 111 = 0 + 114 = 0 + 118 = 0 + 123 = 0 + 124 = 0 + 126 = 0 + 132 = 0 + 135 = 0 + 141 = 0 + 153 = 0 + 159 = 0 + 171 = 0 + 180 = 0 + 195 = 0 + 198 = 0 + 207 = 0 + 210 = 0 + 216 = 0 + 222 = 0 + 225 = 0 + 226 = 0 + 229 = 0 + 231 = 0 + 238 = 0 + 243 = 0 + 252 = 0 + 253 = 0 + 256 = 0 + 258 = 0 + 265 = 0 + 270 = 0 + 280 = 0 + 285 = 0 + 286 = 0 + 288 = 0 + 294 = 0 + 298 = 0 + 303 = 0 + 304 = 0 + 306 = 0 + 312 = 0 + 315 = 0 + 324 = 0 + 333 = 0 + 342 = 0 + 354 = 0 + 360 = 0 + 366 = 0 + 372 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=3 + 0 = 0 + 1 = 0 + 4 = 0 + 6 = 0 + 12 = 0 + 13 = 0 + 16 = 0 + 18 = 0 + 25 = 0 + 31 = 0 + 36 = 0 + 42 = 0 + 54 = 0 + 55 = 0 + 58 = 0 + 60 = 0 + 67 = 0 + 72 = 0 + 82 = 0 + 88 = 0 + 93 = 0 + 94 = 0 + 96 = 0 + 99 = 0 + 100 = 0 + 102 = 0 + 111 = 0 + 114 = 0 + 118 = 0 + 123 = 0 + 124 = 0 + 126 = 0 + 132 = 0 + 135 = 0 + 141 = 0 + 153 = 0 + 154 = 0 + 157 = 0 + 159 = 0 + 160 = 0 + 163 = 0 + 166 = 0 + 169 = 0 + 171 = 0 + 180 = 0 + 181 = 0 + 184 = 0 + 187 = 0 + 195 = 0 + 198 = 0 + 202 = 0 + 205 = 0 + 207 = 0 + 208 = 0 + 210 = 0 + 211 = 0 + 216 = 0 + 220 = 0 + 222 = 0 + 223 = 0 + 225 = 0 + 226 = 0 + 229 = 0 + 231 = 0 + 238 = 0 + 243 = 0 + 252 = 0 + 253 = 0 + 256 = 0 + 258 = 0 + 265 = 0 + 270 = 0 + 280 = 0 + 285 = 0 + 286 = 0 + 288 = 0 + 294 = 0 + 298 = 0 + 303 = 0 + 304 = 0 + 306 = 0 + 312 = 0 + 315 = 0 + 324 = 0 + 325 = 0 + 328 = 0 + 331 = 0 + 333 = 0 + 342 = 0 + 343 = 0 + 346 = 0 + 349 = 0 + 354 = 0 + 358 = 0 + 360 = 0 + 361 = 0 + 366 = 0 + 370 = 0 + 372 = 0 + 373 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=4 + 0 = 0 + 1 = 0 + 2 = 0 + 4 = 0 + 5 = 0 + 6 = 0 + 8 = 0 + 11 = 0 + 12 = 0 + 13 = 0 + 16 = 0 + 18 = 0 + 25 = 0 + 26 = 0 + 29 = 0 + 31 = 0 + 36 = 0 + 38 = 0 + 41 = 0 + 42 = 0 + 50 = 0 + 54 = 0 + 55 = 0 + 58 = 0 + 60 = 0 + 67 = 0 + 72 = 0 + 82 = 0 + 83 = 0 + 86 = 0 + 88 = 0 + 93 = 0 + 94 = 0 + 95 = 0 + 96 = 0 + 98 = 0 + 99 = 0 + 100 = 0 + 102 = 0 + 107 = 0 + 111 = 0 + 113 = 0 + 114 = 0 + 118 = 0 + 123 = 0 + 124 = 0 + 126 = 0 + 132 = 0 + 135 = 0 + 137 = 0 + 140 = 0 + 141 = 0 + 149 = 0 + 153 = 0 + 154 = 0 + 155 = 0 + 157 = 0 + 158 = 0 + 159 = 0 + 160 = 0 + 163 = 0 + 166 = 0 + 167 = 0 + 169 = 0 + 171 = 0 + 180 = 0 + 181 = 0 + 184 = 0 + 187 = 0 + 191 = 0 + 195 = 0 + 197 = 0 + 198 = 0 + 202 = 0 + 203 = 0 + 205 = 0 + 207 = 0 + 208 = 0 + 209 = 0 + 210 = 0 + 211 = 0 + 216 = 0 + 220 = 0 + 222 = 0 + 223 = 0 + 225 = 0 + 226 = 0 + 229 = 0 + 231 = 0 + 238 = 0 + 243 = 0 + 252 = 0 + 253 = 0 + 256 = 0 + 258 = 0 + 265 = 0 + 270 = 0 + 280 = 0 + 285 = 0 + 286 = 0 + 288 = 0 + 294 = 0 + 298 = 0 + 303 = 0 + 304 = 0 + 306 = 0 + 312 = 0 + 315 = 0 + 324 = 0 + 325 = 0 + 328 = 0 + 331 = 0 + 333 = 0 + 342 = 0 + 343 = 0 + 346 = 0 + 349 = 0 + 354 = 0 + 358 = 0 + 360 = 0 + 361 = 0 + 366 = 0 + 370 = 0 + 372 = 0 + 373 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=5 + 0 = 0 + 1 = 0 + 2 = 0 + 4 = 0 + 5 = 0 + 6 = 0 + 8 = 0 + 11 = 0 + 12 = 0 + 13 = 0 + 16 = 0 + 18 = 0 + 25 = 0 + 26 = 0 + 29 = 0 + 31 = 0 + 36 = 0 + 38 = 0 + 41 = 0 + 42 = 0 + 50 = 0 + 54 = 0 + 55 = 0 + 58 = 0 + 60 = 0 + 67 = 0 + 72 = 0 + 82 = 0 + 83 = 0 + 86 = 0 + 88 = 0 + 93 = 0 + 94 = 0 + 95 = 0 + 96 = 0 + 98 = 0 + 99 = 0 + 100 = 0 + 102 = 0 + 107 = 0 + 111 = 0 + 113 = 0 + 114 = 0 + 118 = 0 + 123 = 0 + 124 = 0 + 126 = 0 + 132 = 0 + 135 = 0 + 137 = 0 + 140 = 0 + 141 = 0 + 149 = 0 + 153 = 0 + 154 = 0 + 155 = 0 + 157 = 0 + 158 = 0 + 159 = 0 + 160 = 0 + 163 = 0 + 166 = 0 + 167 = 0 + 169 = 0 + 171 = 0 + 180 = 0 + 181 = 0 + 184 = 0 + 187 = 0 + 191 = 0 + 195 = 0 + 197 = 0 + 198 = 0 + 202 = 0 + 203 = 0 + 205 = 0 + 207 = 0 + 208 = 0 + 209 = 0 + 210 = 0 + 211 = 0 + 216 = 0 + 220 = 0 + 222 = 0 + 223 = 0 + 225 = 0 + 226 = 0 + 229 = 0 + 231 = 0 + 238 = 0 + 243 = 0 + 252 = 0 + 253 = 0 + 254 = 0 + 256 = 0 + 257 = 0 + 258 = 0 + 260 = 0 + 263 = 0 + 265 = 0 + 266 = 0 + 269 = 0 + 270 = 0 + 272 = 0 + 275 = 0 + 278 = 0 + 280 = 0 + 285 = 0 + 286 = 0 + 288 = 0 + 294 = 0 + 298 = 0 + 299 = 0 + 302 = 0 + 303 = 0 + 304 = 0 + 305 = 0 + 306 = 0 + 308 = 0 + 311 = 0 + 312 = 0 + 314 = 0 + 315 = 0 + 324 = 0 + 325 = 0 + 328 = 0 + 331 = 0 + 333 = 0 + 335 = 0 + 338 = 0 + 341 = 0 + 342 = 0 + 343 = 0 + 344 = 0 + 346 = 0 + 347 = 0 + 349 = 0 + 350 = 0 + 354 = 0 + 358 = 0 + 360 = 0 + 361 = 0 + 365 = 0 + 366 = 0 + 368 = 0 + 370 = 0 + 371 = 0 + 372 = 0 + 373 = 0 + 374 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=0 + 0 = 0 + 6 = 0 + 12 = 0 + 18 = 0 + 24 = 0 + 36 = 0 + 48 = 0 + 54 = 0 + 60 = 0 + 135 = 0 + 141 = 0 + 147 = 0 + 156 = 0 + 165 = 0 + 171 = 0 + 225 = 0 + 231 = 0 + 237 = 0 + 249 = 0 + 255 = 0 + 261 = 0 + 315 = 0 + 321 = 0 + 330 = 0 + 336 = 0 + 675 = 0 + 681 = 0 + 687 = 0 + 696 = 0 + 705 = 0 + 711 = 0 + 765 = 0 + 771 = 0 + 777 = 0 + 786 = 0 + 795 = 0 + 801 = 0 + 855 = 0 + 861 = 0 + 870 = 0 + 876 = 0 + 915 = 0 + 921 = 0 + 930 = 0 + 936 = 0 + 1215 = 0 + 1221 = 0 + 1227 = 0 + 1239 = 0 + 1245 = 0 + 1251 = 0 + 1305 = 0 + 1311 = 0 + 1320 = 0 + 1326 = 0 + 1365 = 0 + 1371 = 0 + 1377 = 0 + 1389 = 0 + 1395 = 0 + 1401 = 0 + 1455 = 0 + 1461 = 0 + 1470 = 0 + 1476 = 0 + 1755 = 0 + 1761 = 0 + 1770 = 0 + 1776 = 0 + 1815 = 0 + 1821 = 0 + 1830 = 0 + 1836 = 0 + 1875 = 0 + 1881 = 0 + 1890 = 0 + 1896 = 0 + 1935 = 0 + 1941 = 0 + 1950 = 0 + 1956 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=1 + 0 = 0 + 6 = 0 + 12 = 0 + 18 = 0 + 24 = 0 + 36 = 0 + 48 = 0 + 54 = 0 + 60 = 0 + 135 = 0 + 141 = 0 + 147 = 0 + 156 = 0 + 165 = 0 + 171 = 0 + 225 = 0 + 231 = 0 + 237 = 0 + 249 = 0 + 255 = 0 + 261 = 0 + 315 = 0 + 321 = 0 + 330 = 0 + 336 = 0 + 429 = 0 + 432 = 0 + 435 = 0 + 438 = 0 + 441 = 0 + 450 = 0 + 459 = 0 + 462 = 0 + 465 = 0 + 519 = 0 + 522 = 0 + 525 = 0 + 531 = 0 + 537 = 0 + 540 = 0 + 591 = 0 + 594 = 0 + 597 = 0 + 606 = 0 + 609 = 0 + 612 = 0 + 651 = 0 + 654 = 0 + 660 = 0 + 663 = 0 + 675 = 0 + 681 = 0 + 687 = 0 + 696 = 0 + 705 = 0 + 711 = 0 + 765 = 0 + 771 = 0 + 777 = 0 + 786 = 0 + 795 = 0 + 801 = 0 + 855 = 0 + 861 = 0 + 870 = 0 + 876 = 0 + 915 = 0 + 921 = 0 + 930 = 0 + 936 = 0 + 1011 = 0 + 1014 = 0 + 1017 = 0 + 1023 = 0 + 1029 = 0 + 1032 = 0 + 1083 = 0 + 1086 = 0 + 1089 = 0 + 1095 = 0 + 1101 = 0 + 1104 = 0 + 1143 = 0 + 1146 = 0 + 1152 = 0 + 1155 = 0 + 1191 = 0 + 1194 = 0 + 1200 = 0 + 1203 = 0 + 1215 = 0 + 1221 = 0 + 1227 = 0 + 1239 = 0 + 1245 = 0 + 1251 = 0 + 1305 = 0 + 1311 = 0 + 1320 = 0 + 1326 = 0 + 1365 = 0 + 1371 = 0 + 1377 = 0 + 1389 = 0 + 1395 = 0 + 1401 = 0 + 1455 = 0 + 1461 = 0 + 1470 = 0 + 1476 = 0 + 1551 = 0 + 1554 = 0 + 1557 = 0 + 1566 = 0 + 1569 = 0 + 1572 = 0 + 1611 = 0 + 1614 = 0 + 1620 = 0 + 1623 = 0 + 1671 = 0 + 1674 = 0 + 1677 = 0 + 1686 = 0 + 1689 = 0 + 1692 = 0 + 1731 = 0 + 1734 = 0 + 1740 = 0 + 1743 = 0 + 1755 = 0 + 1761 = 0 + 1770 = 0 + 1776 = 0 + 1815 = 0 + 1821 = 0 + 1830 = 0 + 1836 = 0 + 1875 = 0 + 1881 = 0 + 1890 = 0 + 1896 = 0 + 1935 = 0 + 1941 = 0 + 1950 = 0 + 1956 = 0 + 2019 = 0 + 2022 = 0 + 2028 = 0 + 2031 = 0 + 2067 = 0 + 2070 = 0 + 2076 = 0 + 2079 = 0 + 2115 = 0 + 2118 = 0 + 2124 = 0 + 2127 = 0 + 2163 = 0 + 2166 = 0 + 2172 = 0 + 2175 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=2 + 0 = 0 + 1 = 0 + 4 = 0 + 6 = 0 + 12 = 0 + 13 = 0 + 16 = 0 + 18 = 0 + 24 = 0 + 31 = 0 + 36 = 0 + 43 = 0 + 48 = 0 + 49 = 0 + 52 = 0 + 54 = 0 + 60 = 0 + 67 = 0 + 82 = 0 + 88 = 0 + 97 = 0 + 106 = 0 + 112 = 0 + 121 = 0 + 135 = 0 + 141 = 0 + 147 = 0 + 156 = 0 + 165 = 0 + 171 = 0 + 225 = 0 + 226 = 0 + 229 = 0 + 231 = 0 + 237 = 0 + 244 = 0 + 249 = 0 + 250 = 0 + 253 = 0 + 255 = 0 + 261 = 0 + 268 = 0 + 280 = 0 + 289 = 0 + 295 = 0 + 304 = 0 + 315 = 0 + 321 = 0 + 330 = 0 + 336 = 0 + 376 = 0 + 382 = 0 + 391 = 0 + 400 = 0 + 406 = 0 + 415 = 0 + 429 = 0 + 430 = 0 + 432 = 0 + 435 = 0 + 436 = 0 + 438 = 0 + 441 = 0 + 445 = 0 + 450 = 0 + 454 = 0 + 459 = 0 + 460 = 0 + 462 = 0 + 465 = 0 + 469 = 0 + 519 = 0 + 522 = 0 + 525 = 0 + 531 = 0 + 537 = 0 + 540 = 0 + 556 = 0 + 565 = 0 + 571 = 0 + 580 = 0 + 591 = 0 + 592 = 0 + 594 = 0 + 597 = 0 + 601 = 0 + 606 = 0 + 607 = 0 + 609 = 0 + 612 = 0 + 616 = 0 + 651 = 0 + 654 = 0 + 660 = 0 + 663 = 0 + 675 = 0 + 681 = 0 + 687 = 0 + 696 = 0 + 705 = 0 + 711 = 0 + 765 = 0 + 771 = 0 + 777 = 0 + 786 = 0 + 795 = 0 + 801 = 0 + 855 = 0 + 861 = 0 + 870 = 0 + 876 = 0 + 915 = 0 + 921 = 0 + 930 = 0 + 936 = 0 + 1011 = 0 + 1014 = 0 + 1017 = 0 + 1023 = 0 + 1029 = 0 + 1032 = 0 + 1083 = 0 + 1086 = 0 + 1089 = 0 + 1095 = 0 + 1101 = 0 + 1104 = 0 + 1143 = 0 + 1146 = 0 + 1152 = 0 + 1155 = 0 + 1191 = 0 + 1194 = 0 + 1200 = 0 + 1203 = 0 + 1215 = 0 + 1216 = 0 + 1219 = 0 + 1221 = 0 + 1227 = 0 + 1234 = 0 + 1239 = 0 + 1240 = 0 + 1243 = 0 + 1245 = 0 + 1251 = 0 + 1258 = 0 + 1270 = 0 + 1279 = 0 + 1285 = 0 + 1294 = 0 + 1305 = 0 + 1311 = 0 + 1320 = 0 + 1326 = 0 + 1365 = 0 + 1366 = 0 + 1369 = 0 + 1371 = 0 + 1377 = 0 + 1384 = 0 + 1389 = 0 + 1390 = 0 + 1393 = 0 + 1395 = 0 + 1401 = 0 + 1408 = 0 + 1420 = 0 + 1429 = 0 + 1435 = 0 + 1444 = 0 + 1455 = 0 + 1461 = 0 + 1470 = 0 + 1476 = 0 + 1516 = 0 + 1525 = 0 + 1531 = 0 + 1540 = 0 + 1551 = 0 + 1552 = 0 + 1554 = 0 + 1557 = 0 + 1561 = 0 + 1566 = 0 + 1567 = 0 + 1569 = 0 + 1572 = 0 + 1576 = 0 + 1611 = 0 + 1614 = 0 + 1620 = 0 + 1623 = 0 + 1636 = 0 + 1645 = 0 + 1651 = 0 + 1660 = 0 + 1671 = 0 + 1672 = 0 + 1674 = 0 + 1677 = 0 + 1681 = 0 + 1686 = 0 + 1687 = 0 + 1689 = 0 + 1692 = 0 + 1696 = 0 + 1731 = 0 + 1734 = 0 + 1740 = 0 + 1743 = 0 + 1755 = 0 + 1761 = 0 + 1770 = 0 + 1776 = 0 + 1815 = 0 + 1821 = 0 + 1830 = 0 + 1836 = 0 + 1875 = 0 + 1881 = 0 + 1890 = 0 + 1896 = 0 + 1935 = 0 + 1941 = 0 + 1950 = 0 + 1956 = 0 + 2019 = 0 + 2022 = 0 + 2028 = 0 + 2031 = 0 + 2067 = 0 + 2070 = 0 + 2076 = 0 + 2079 = 0 + 2115 = 0 + 2118 = 0 + 2124 = 0 + 2127 = 0 + 2163 = 0 + 2166 = 0 + 2172 = 0 + 2175 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=3 + 0 = 0 + 1 = 0 + 4 = 0 + 6 = 0 + 12 = 0 + 13 = 0 + 16 = 0 + 18 = 0 + 24 = 0 + 31 = 0 + 36 = 0 + 43 = 0 + 48 = 0 + 49 = 0 + 52 = 0 + 54 = 0 + 60 = 0 + 67 = 0 + 82 = 0 + 88 = 0 + 97 = 0 + 106 = 0 + 112 = 0 + 121 = 0 + 135 = 0 + 141 = 0 + 147 = 0 + 156 = 0 + 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= 0 + 6143 = 0 + 6144 = 0 + 6145 = 0 + 6186 = 0 + 6187 = 0 + 6189 = 0 + 6190 = 0 + 6197 = 0 + 6198 = 0 + 6201 = 0 + 6203 = 0 + 6202 = 0 + 6204 = 0 + 6207 = 0 + 6208 = 0 + 6209 = 0 + 6210 = 0 + 6223 = 0 + 6224 = 0 + 6225 = 0 + 6226 = 0 + 6269 = 0 + 6274 = 0 + 6275 = 0 + 6280 = 0 + 6281 = 0 + 6320 = 0 + 6321 = 0 + 6322 = 0 + 6323 = 0 + 6348 = 0 + 6350 = 0 + 6351 = 0 + 6355 = 0 + 6352 = 0 + 6356 = 0 + 6361 = 0 + 6362 = 0 + 6363 = 0 + 6364 = 0 + 6369 = 0 + 6370 = 0 + 6371 = 0 + 6372 = 0 + 6401 = 0 + 6402 = 0 + 6403 = 0 + 6404 = 0 + 6430 = 0 + 6431 = 0 + 6436 = 0 + 6437 = 0 + 6440 = 0 + 6442 = 0 + 6441 = 0 + 6443 = 0 + 6446 = 0 + 6447 = 0 + 6466 = 0 + 6467 = 0 + 6468 = 0 + 6469 = 0 + 6482 = 0 + 6483 = 0 + 6484 = 0 + 6485 = 0 + 6510 = 0 + 6511 = 0 + 6512 = 0 + 6513 = 0 + 6517 = 0 + 6514 = 0 + 6518 = 0 + 6521 = 0 + 6523 = 0 + 6522 = 0 + 6524 = 0 + 6525 = 0 + 6527 = 0 + 6526 = 0 + 6528 = 0 + 6531 = 0 + 6532 = 0 + 6533 = 0 + 6534 = 0 + 6547 = 0 + 6548 = 0 + 6549 = 0 + 6550 = 0 + 6563 = 0 + 6564 = 0 + 6565 = 0 + 6566 = 0 diff --git a/tests/deal.II/no_flux_hp_02.cc b/tests/deal.II/no_flux_hp_02.cc new file mode 100644 index 0000000000..9ce7fb16a9 --- /dev/null +++ b/tests/deal.II/no_flux_hp_02.cc @@ -0,0 +1,82 @@ +// check the creation of no-flux boundary conditions for a finite +// element that consists of more than dim components and where +// therefore we have to pick the vector components from somewhere in +// the middle + + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + + + +template +void test (const Triangulation& tr, + const hp::FECollection& fe) +{ + hp::DoFHandler dof(tr); + dof.distribute_dofs(fe); + + for (unsigned int i=0; i::faces_per_cell; ++i) + { + deallog << "FE=" << fe[0].get_name() + << ", case=" << i + << std::endl; + + std::set boundary_ids; + for (unsigned int j=0; j<=i; ++j) + boundary_ids.insert (j); + + ConstraintMatrix cm; + VectorTools::compute_no_normal_flux_constraints (dof, 1, boundary_ids, cm); + + cm.print (deallog.get_file_stream ()); + } +} + + +template +void test_hyper_cube() +{ + Triangulation tr; + GridGenerator::hyper_cube(tr); + + for (unsigned int i=0; i::faces_per_cell; ++i) + tr.begin_active()->face(i)->set_boundary_indicator (i); + + tr.refine_global(2); + + for (unsigned int degree=1; degree<4; ++degree) + { + hp::FECollection fe (FESystem (FE_Q(degree+1), 1, + FE_Q(degree), dim, + FE_Q(degree+1), 1)); + test(tr, fe); + } +} + + +int main() +{ + std::ofstream logfile ("no_flux_hp_02/output"); + deallog << std::setprecision (2); + deallog << std::fixed; + deallog.attach(logfile); + deallog.depth_console (0); + deallog.threshold_double(1.e-12); + + test_hyper_cube<2>(); + test_hyper_cube<3>(); +} diff --git a/tests/deal.II/no_flux_hp_02/cmp/generic b/tests/deal.II/no_flux_hp_02/cmp/generic new file mode 100644 index 0000000000..46a94d336c --- /dev/null +++ b/tests/deal.II/no_flux_hp_02/cmp/generic @@ -0,0 +1,6076 @@ + +DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=0 + 1 = 0 + 9 = 0 + 43 = 0 + 121 = 0 + 147 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=1 + 1 = 0 + 9 = 0 + 43 = 0 + 85 = 0 + 89 = 0 + 111 = 0 + 121 = 0 + 147 = 0 + 183 = 0 + 203 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=2 + 1 = 0 + 2 = 0 + 6 = 0 + 9 = 0 + 28 = 0 + 43 = 0 + 70 = 0 + 85 = 0 + 86 = 0 + 89 = 0 + 111 = 0 + 121 = 0 + 147 = 0 + 183 = 0 + 203 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=3 + 1 = 0 + 2 = 0 + 6 = 0 + 9 = 0 + 28 = 0 + 43 = 0 + 70 = 0 + 85 = 0 + 86 = 0 + 89 = 0 + 111 = 0 + 121 = 0 + 147 = 0 + 148 = 0 + 152 = 0 + 164 = 0 + 183 = 0 + 194 = 0 + 203 = 0 + 204 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=0 + 1 = 0 + 9 = 0 + 18 = 0 + 87 = 0 + 96 = 0 + 273 = 0 + 282 = 0 + 335 = 0 + 344 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=1 + 1 = 0 + 9 = 0 + 18 = 0 + 87 = 0 + 96 = 0 + 185 = 0 + 189 = 0 + 194 = 0 + 247 = 0 + 252 = 0 + 273 = 0 + 282 = 0 + 335 = 0 + 344 = 0 + 423 = 0 + 428 = 0 + 475 = 0 + 480 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=2 + 1 = 0 + 2 = 0 + 6 = 0 + 9 = 0 + 18 = 0 + 31 = 0 + 52 = 0 + 67 = 0 + 87 = 0 + 96 = 0 + 150 = 0 + 165 = 0 + 185 = 0 + 186 = 0 + 189 = 0 + 194 = 0 + 201 = 0 + 247 = 0 + 252 = 0 + 273 = 0 + 282 = 0 + 335 = 0 + 344 = 0 + 423 = 0 + 428 = 0 + 475 = 0 + 480 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=3 + 1 = 0 + 2 = 0 + 6 = 0 + 9 = 0 + 18 = 0 + 31 = 0 + 52 = 0 + 67 = 0 + 87 = 0 + 96 = 0 + 150 = 0 + 165 = 0 + 185 = 0 + 186 = 0 + 189 = 0 + 194 = 0 + 201 = 0 + 247 = 0 + 252 = 0 + 273 = 0 + 282 = 0 + 335 = 0 + 336 = 0 + 340 = 0 + 344 = 0 + 357 = 0 + 372 = 0 + 383 = 0 + 423 = 0 + 428 = 0 + 450 = 0 + 461 = 0 + 475 = 0 + 476 = 0 + 480 = 0 + 487 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=0 + 1 = 0 + 9 = 0 + 19 = 0 + 20 = 0 + 147 = 0 + 157 = 0 + 158 = 0 + 489 = 0 + 499 = 0 + 500 = 0 + 603 = 0 + 613 = 0 + 614 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=1 + 1 = 0 + 9 = 0 + 19 = 0 + 20 = 0 + 147 = 0 + 157 = 0 + 158 = 0 + 325 = 0 + 329 = 0 + 335 = 0 + 336 = 0 + 439 = 0 + 445 = 0 + 446 = 0 + 489 = 0 + 499 = 0 + 500 = 0 + 603 = 0 + 613 = 0 + 614 = 0 + 767 = 0 + 773 = 0 + 774 = 0 + 867 = 0 + 873 = 0 + 874 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=2 + 1 = 0 + 2 = 0 + 6 = 0 + 9 = 0 + 19 = 0 + 20 = 0 + 41 = 0 + 42 = 0 + 84 = 0 + 105 = 0 + 106 = 0 + 147 = 0 + 157 = 0 + 158 = 0 + 262 = 0 + 283 = 0 + 284 = 0 + 325 = 0 + 326 = 0 + 329 = 0 + 335 = 0 + 336 = 0 + 347 = 0 + 348 = 0 + 439 = 0 + 445 = 0 + 446 = 0 + 489 = 0 + 499 = 0 + 500 = 0 + 603 = 0 + 613 = 0 + 614 = 0 + 767 = 0 + 773 = 0 + 774 = 0 + 867 = 0 + 873 = 0 + 874 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=3 + 1 = 0 + 2 = 0 + 6 = 0 + 9 = 0 + 19 = 0 + 20 = 0 + 41 = 0 + 42 = 0 + 84 = 0 + 105 = 0 + 106 = 0 + 147 = 0 + 157 = 0 + 158 = 0 + 262 = 0 + 283 = 0 + 284 = 0 + 325 = 0 + 326 = 0 + 329 = 0 + 335 = 0 + 336 = 0 + 347 = 0 + 348 = 0 + 439 = 0 + 445 = 0 + 446 = 0 + 489 = 0 + 499 = 0 + 500 = 0 + 603 = 0 + 604 = 0 + 608 = 0 + 613 = 0 + 614 = 0 + 635 = 0 + 636 = 0 + 668 = 0 + 685 = 0 + 686 = 0 + 767 = 0 + 773 = 0 + 774 = 0 + 818 = 0 + 835 = 0 + 836 = 0 + 867 = 0 + 868 = 0 + 873 = 0 + 874 = 0 + 885 = 0 + 886 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=0 + 1 = 0 + 11 = 0 + 21 = 0 + 31 = 0 + 127 = 0 + 137 = 0 + 205 = 0 + 215 = 0 + 283 = 0 + 586 = 0 + 596 = 0 + 664 = 0 + 674 = 0 + 742 = 0 + 791 = 0 + 1036 = 0 + 1046 = 0 + 1114 = 0 + 1163 = 0 + 1173 = 0 + 1241 = 0 + 1486 = 0 + 1535 = 0 + 1584 = 0 + 1633 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=1 + 1 = 0 + 11 = 0 + 21 = 0 + 31 = 0 + 127 = 0 + 137 = 0 + 205 = 0 + 215 = 0 + 283 = 0 + 380 = 0 + 385 = 0 + 390 = 0 + 395 = 0 + 458 = 0 + 463 = 0 + 518 = 0 + 523 = 0 + 567 = 0 + 586 = 0 + 596 = 0 + 664 = 0 + 674 = 0 + 742 = 0 + 791 = 0 + 870 = 0 + 875 = 0 + 930 = 0 + 935 = 0 + 979 = 0 + 1017 = 0 + 1036 = 0 + 1046 = 0 + 1114 = 0 + 1163 = 0 + 1173 = 0 + 1241 = 0 + 1320 = 0 + 1325 = 0 + 1369 = 0 + 1418 = 0 + 1423 = 0 + 1467 = 0 + 1486 = 0 + 1535 = 0 + 1584 = 0 + 1633 = 0 + 1701 = 0 + 1739 = 0 + 1777 = 0 + 1815 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=2 + 1 = 0 + 2 = 0 + 7 = 0 + 11 = 0 + 21 = 0 + 22 = 0 + 27 = 0 + 31 = 0 + 80 = 0 + 90 = 0 + 127 = 0 + 137 = 0 + 205 = 0 + 206 = 0 + 211 = 0 + 215 = 0 + 254 = 0 + 283 = 0 + 333 = 0 + 343 = 0 + 380 = 0 + 381 = 0 + 385 = 0 + 390 = 0 + 391 = 0 + 395 = 0 + 458 = 0 + 463 = 0 + 489 = 0 + 518 = 0 + 519 = 0 + 523 = 0 + 567 = 0 + 586 = 0 + 596 = 0 + 664 = 0 + 674 = 0 + 742 = 0 + 791 = 0 + 870 = 0 + 875 = 0 + 930 = 0 + 935 = 0 + 979 = 0 + 1017 = 0 + 1036 = 0 + 1037 = 0 + 1042 = 0 + 1046 = 0 + 1085 = 0 + 1114 = 0 + 1163 = 0 + 1164 = 0 + 1169 = 0 + 1173 = 0 + 1212 = 0 + 1241 = 0 + 1291 = 0 + 1320 = 0 + 1321 = 0 + 1325 = 0 + 1369 = 0 + 1389 = 0 + 1418 = 0 + 1419 = 0 + 1423 = 0 + 1467 = 0 + 1486 = 0 + 1535 = 0 + 1584 = 0 + 1633 = 0 + 1701 = 0 + 1739 = 0 + 1777 = 0 + 1815 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=3 + 1 = 0 + 2 = 0 + 7 = 0 + 11 = 0 + 21 = 0 + 22 = 0 + 27 = 0 + 31 = 0 + 80 = 0 + 90 = 0 + 127 = 0 + 137 = 0 + 205 = 0 + 206 = 0 + 211 = 0 + 215 = 0 + 254 = 0 + 283 = 0 + 333 = 0 + 343 = 0 + 380 = 0 + 381 = 0 + 385 = 0 + 390 = 0 + 391 = 0 + 395 = 0 + 458 = 0 + 463 = 0 + 489 = 0 + 518 = 0 + 519 = 0 + 523 = 0 + 567 = 0 + 586 = 0 + 596 = 0 + 664 = 0 + 665 = 0 + 670 = 0 + 674 = 0 + 675 = 0 + 680 = 0 + 713 = 0 + 718 = 0 + 742 = 0 + 791 = 0 + 792 = 0 + 797 = 0 + 822 = 0 + 870 = 0 + 875 = 0 + 901 = 0 + 906 = 0 + 930 = 0 + 931 = 0 + 935 = 0 + 936 = 0 + 979 = 0 + 999 = 0 + 1017 = 0 + 1018 = 0 + 1036 = 0 + 1037 = 0 + 1042 = 0 + 1046 = 0 + 1085 = 0 + 1114 = 0 + 1163 = 0 + 1164 = 0 + 1169 = 0 + 1173 = 0 + 1212 = 0 + 1241 = 0 + 1291 = 0 + 1320 = 0 + 1321 = 0 + 1325 = 0 + 1369 = 0 + 1389 = 0 + 1418 = 0 + 1419 = 0 + 1423 = 0 + 1467 = 0 + 1486 = 0 + 1535 = 0 + 1536 = 0 + 1541 = 0 + 1566 = 0 + 1584 = 0 + 1633 = 0 + 1634 = 0 + 1639 = 0 + 1664 = 0 + 1701 = 0 + 1721 = 0 + 1739 = 0 + 1740 = 0 + 1777 = 0 + 1797 = 0 + 1815 = 0 + 1816 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=4 + 1 = 0 + 2 = 0 + 3 = 0 + 7 = 0 + 8 = 0 + 11 = 0 + 13 = 0 + 18 = 0 + 21 = 0 + 22 = 0 + 27 = 0 + 31 = 0 + 80 = 0 + 81 = 0 + 86 = 0 + 90 = 0 + 127 = 0 + 129 = 0 + 134 = 0 + 137 = 0 + 177 = 0 + 205 = 0 + 206 = 0 + 211 = 0 + 215 = 0 + 254 = 0 + 283 = 0 + 333 = 0 + 334 = 0 + 339 = 0 + 343 = 0 + 380 = 0 + 381 = 0 + 382 = 0 + 385 = 0 + 387 = 0 + 390 = 0 + 391 = 0 + 395 = 0 + 430 = 0 + 458 = 0 + 460 = 0 + 463 = 0 + 489 = 0 + 518 = 0 + 519 = 0 + 523 = 0 + 567 = 0 + 586 = 0 + 588 = 0 + 593 = 0 + 596 = 0 + 636 = 0 + 664 = 0 + 665 = 0 + 666 = 0 + 670 = 0 + 671 = 0 + 674 = 0 + 675 = 0 + 680 = 0 + 713 = 0 + 714 = 0 + 718 = 0 + 742 = 0 + 791 = 0 + 792 = 0 + 797 = 0 + 822 = 0 + 842 = 0 + 870 = 0 + 872 = 0 + 875 = 0 + 901 = 0 + 902 = 0 + 906 = 0 + 930 = 0 + 931 = 0 + 932 = 0 + 935 = 0 + 936 = 0 + 979 = 0 + 999 = 0 + 1017 = 0 + 1018 = 0 + 1036 = 0 + 1037 = 0 + 1042 = 0 + 1046 = 0 + 1085 = 0 + 1114 = 0 + 1163 = 0 + 1164 = 0 + 1169 = 0 + 1173 = 0 + 1212 = 0 + 1241 = 0 + 1291 = 0 + 1320 = 0 + 1321 = 0 + 1325 = 0 + 1369 = 0 + 1389 = 0 + 1418 = 0 + 1419 = 0 + 1423 = 0 + 1467 = 0 + 1486 = 0 + 1535 = 0 + 1536 = 0 + 1541 = 0 + 1566 = 0 + 1584 = 0 + 1633 = 0 + 1634 = 0 + 1639 = 0 + 1664 = 0 + 1701 = 0 + 1721 = 0 + 1739 = 0 + 1740 = 0 + 1777 = 0 + 1797 = 0 + 1815 = 0 + 1816 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=5 + 1 = 0 + 2 = 0 + 3 = 0 + 7 = 0 + 8 = 0 + 11 = 0 + 13 = 0 + 18 = 0 + 21 = 0 + 22 = 0 + 27 = 0 + 31 = 0 + 80 = 0 + 81 = 0 + 86 = 0 + 90 = 0 + 127 = 0 + 129 = 0 + 134 = 0 + 137 = 0 + 177 = 0 + 205 = 0 + 206 = 0 + 211 = 0 + 215 = 0 + 254 = 0 + 283 = 0 + 333 = 0 + 334 = 0 + 339 = 0 + 343 = 0 + 380 = 0 + 381 = 0 + 382 = 0 + 385 = 0 + 387 = 0 + 390 = 0 + 391 = 0 + 395 = 0 + 430 = 0 + 458 = 0 + 460 = 0 + 463 = 0 + 489 = 0 + 518 = 0 + 519 = 0 + 523 = 0 + 567 = 0 + 586 = 0 + 588 = 0 + 593 = 0 + 596 = 0 + 636 = 0 + 664 = 0 + 665 = 0 + 666 = 0 + 670 = 0 + 671 = 0 + 674 = 0 + 675 = 0 + 680 = 0 + 713 = 0 + 714 = 0 + 718 = 0 + 742 = 0 + 791 = 0 + 792 = 0 + 797 = 0 + 822 = 0 + 842 = 0 + 870 = 0 + 872 = 0 + 875 = 0 + 901 = 0 + 902 = 0 + 906 = 0 + 930 = 0 + 931 = 0 + 932 = 0 + 935 = 0 + 936 = 0 + 979 = 0 + 999 = 0 + 1017 = 0 + 1018 = 0 + 1036 = 0 + 1037 = 0 + 1042 = 0 + 1046 = 0 + 1085 = 0 + 1114 = 0 + 1163 = 0 + 1164 = 0 + 1165 = 0 + 1169 = 0 + 1170 = 0 + 1173 = 0 + 1175 = 0 + 1180 = 0 + 1212 = 0 + 1213 = 0 + 1218 = 0 + 1241 = 0 + 1243 = 0 + 1248 = 0 + 1273 = 0 + 1291 = 0 + 1320 = 0 + 1321 = 0 + 1325 = 0 + 1369 = 0 + 1389 = 0 + 1390 = 0 + 1395 = 0 + 1418 = 0 + 1419 = 0 + 1420 = 0 + 1423 = 0 + 1425 = 0 + 1450 = 0 + 1467 = 0 + 1469 = 0 + 1486 = 0 + 1535 = 0 + 1536 = 0 + 1541 = 0 + 1566 = 0 + 1584 = 0 + 1586 = 0 + 1591 = 0 + 1616 = 0 + 1633 = 0 + 1634 = 0 + 1635 = 0 + 1639 = 0 + 1640 = 0 + 1664 = 0 + 1665 = 0 + 1701 = 0 + 1721 = 0 + 1739 = 0 + 1740 = 0 + 1760 = 0 + 1777 = 0 + 1779 = 0 + 1797 = 0 + 1798 = 0 + 1815 = 0 + 1816 = 0 + 1817 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=0 + 1 = 0 + 11 = 0 + 21 = 0 + 31 = 0 + 42 = 0 + 70 = 0 + 98 = 0 + 112 = 0 + 128 = 0 + 360 = 0 + 370 = 0 + 381 = 0 + 402 = 0 + 423 = 0 + 439 = 0 + 618 = 0 + 628 = 0 + 639 = 0 + 667 = 0 + 681 = 0 + 697 = 0 + 876 = 0 + 887 = 0 + 908 = 0 + 924 = 0 + 1950 = 0 + 1960 = 0 + 1971 = 0 + 1992 = 0 + 2013 = 0 + 2029 = 0 + 2208 = 0 + 2218 = 0 + 2229 = 0 + 2250 = 0 + 2271 = 0 + 2287 = 0 + 2466 = 0 + 2477 = 0 + 2498 = 0 + 2514 = 0 + 2652 = 0 + 2663 = 0 + 2684 = 0 + 2700 = 0 + 3582 = 0 + 3592 = 0 + 3603 = 0 + 3631 = 0 + 3645 = 0 + 3661 = 0 + 3840 = 0 + 3851 = 0 + 3872 = 0 + 3888 = 0 + 4026 = 0 + 4036 = 0 + 4047 = 0 + 4075 = 0 + 4089 = 0 + 4105 = 0 + 4284 = 0 + 4295 = 0 + 4316 = 0 + 4332 = 0 + 5214 = 0 + 5225 = 0 + 5246 = 0 + 5262 = 0 + 5400 = 0 + 5411 = 0 + 5432 = 0 + 5448 = 0 + 5586 = 0 + 5597 = 0 + 5618 = 0 + 5634 = 0 + 5772 = 0 + 5783 = 0 + 5804 = 0 + 5820 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=1 + 1 = 0 + 11 = 0 + 21 = 0 + 31 = 0 + 42 = 0 + 70 = 0 + 98 = 0 + 112 = 0 + 128 = 0 + 360 = 0 + 370 = 0 + 381 = 0 + 402 = 0 + 423 = 0 + 439 = 0 + 618 = 0 + 628 = 0 + 639 = 0 + 667 = 0 + 681 = 0 + 697 = 0 + 876 = 0 + 887 = 0 + 908 = 0 + 924 = 0 + 1212 = 0 + 1217 = 0 + 1222 = 0 + 1227 = 0 + 1233 = 0 + 1254 = 0 + 1275 = 0 + 1282 = 0 + 1291 = 0 + 1470 = 0 + 1475 = 0 + 1481 = 0 + 1495 = 0 + 1509 = 0 + 1518 = 0 + 1686 = 0 + 1691 = 0 + 1697 = 0 + 1718 = 0 + 1725 = 0 + 1734 = 0 + 1872 = 0 + 1878 = 0 + 1892 = 0 + 1901 = 0 + 1950 = 0 + 1960 = 0 + 1971 = 0 + 1992 = 0 + 2013 = 0 + 2029 = 0 + 2208 = 0 + 2218 = 0 + 2229 = 0 + 2250 = 0 + 2271 = 0 + 2287 = 0 + 2466 = 0 + 2477 = 0 + 2498 = 0 + 2514 = 0 + 2652 = 0 + 2663 = 0 + 2684 = 0 + 2700 = 0 + 2946 = 0 + 2951 = 0 + 2957 = 0 + 2971 = 0 + 2985 = 0 + 2994 = 0 + 3162 = 0 + 3167 = 0 + 3173 = 0 + 3187 = 0 + 3201 = 0 + 3210 = 0 + 3348 = 0 + 3354 = 0 + 3368 = 0 + 3377 = 0 + 3504 = 0 + 3510 = 0 + 3524 = 0 + 3533 = 0 + 3582 = 0 + 3592 = 0 + 3603 = 0 + 3631 = 0 + 3645 = 0 + 3661 = 0 + 3840 = 0 + 3851 = 0 + 3872 = 0 + 3888 = 0 + 4026 = 0 + 4036 = 0 + 4047 = 0 + 4075 = 0 + 4089 = 0 + 4105 = 0 + 4284 = 0 + 4295 = 0 + 4316 = 0 + 4332 = 0 + 4578 = 0 + 4583 = 0 + 4589 = 0 + 4610 = 0 + 4617 = 0 + 4626 = 0 + 4764 = 0 + 4770 = 0 + 4784 = 0 + 4793 = 0 + 4950 = 0 + 4955 = 0 + 4961 = 0 + 4982 = 0 + 4989 = 0 + 4998 = 0 + 5136 = 0 + 5142 = 0 + 5156 = 0 + 5165 = 0 + 5214 = 0 + 5225 = 0 + 5246 = 0 + 5262 = 0 + 5400 = 0 + 5411 = 0 + 5432 = 0 + 5448 = 0 + 5586 = 0 + 5597 = 0 + 5618 = 0 + 5634 = 0 + 5772 = 0 + 5783 = 0 + 5804 = 0 + 5820 = 0 + 6036 = 0 + 6042 = 0 + 6056 = 0 + 6065 = 0 + 6192 = 0 + 6198 = 0 + 6212 = 0 + 6221 = 0 + 6348 = 0 + 6354 = 0 + 6368 = 0 + 6377 = 0 + 6504 = 0 + 6510 = 0 + 6524 = 0 + 6533 = 0 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0 + 9843 = 0 + 9847 = 0 + 9848 = 0 + 9851 = 0 + 9853 = 0 + 9858 = 0 + 9863 = 0 + 9867 = 0 + 9864 = 0 + 9868 = 0 + 9879 = 0 + 9880 = 0 + 9889 = 0 + 9891 = 0 + 9890 = 0 + 9892 = 0 + 9903 = 0 + 9904 = 0 + 9911 = 0 + 9913 = 0 + 9912 = 0 + 9914 = 0 + 9925 = 0 + 9926 = 0 + 9935 = 0 + 9936 = 0 + 9965 = 0 + 9966 = 0 + 9967 = 0 + 9968 = 0 + 10029 = 0 + 10030 = 0 + 10031 = 0 + 10032 = 0 + 10093 = 0 + 10094 = 0 + 10095 = 0 + 10096 = 0 + 10186 = 0 + 10187 = 0 + 10192 = 0 + 10201 = 0 + 10202 = 0 + 10211 = 0 + 10213 = 0 + 10212 = 0 + 10214 = 0 + 10225 = 0 + 10226 = 0 + 10235 = 0 + 10236 = 0 + 10297 = 0 + 10298 = 0 + 10299 = 0 + 10300 = 0 + 10361 = 0 + 10362 = 0 + 10363 = 0 + 10364 = 0 + 10453 = 0 + 10455 = 0 + 10460 = 0 + 10465 = 0 + 10469 = 0 + 10466 = 0 + 10470 = 0 + 10481 = 0 + 10482 = 0 + 10493 = 0 + 10494 = 0 + 10501 = 0 + 10502 = 0 + 10531 = 0 + 10532 = 0 + 10533 = 0 + 10534 = 0 + 10629 = 0 + 10630 = 0 + 10631 = 0 + 10632 = 0 + 10723 = 0 + 10732 = 0 + 10733 = 0 + 10744 = 0 + 10745 = 0 + 10838 = 0 + 10839 = 0 + 10840 = 0 + 10841 = 0 + 10931 = 0 + 10956 = 0 + 10957 = 0 + 10980 = 0 + 10981 = 0 + 11042 = 0 + 11043 = 0 + 11044 = 0 + 11045 = 0 + 11198 = 0 + 11199 = 0 + 11203 = 0 + 11210 = 0 + 11211 = 0 + 11224 = 0 + 11225 = 0 + 11246 = 0 + 11248 = 0 + 11247 = 0 + 11249 = 0 + 11258 = 0 + 11259 = 0 + 11276 = 0 + 11277 = 0 + 11278 = 0 + 11279 = 0 + 11310 = 0 + 11311 = 0 + 11312 = 0 + 11313 = 0 + 11675 = 0 + 11682 = 0 + 11683 = 0 + 11706 = 0 + 11707 = 0 + 11724 = 0 + 11725 = 0 + 11726 = 0 + 11727 = 0 + 11885 = 0 + 11886 = 0 + 11891 = 0 + 11900 = 0 + 11901 = 0 + 11910 = 0 + 11912 = 0 + 11911 = 0 + 11913 = 0 + 11924 = 0 + 11925 = 0 + 11934 = 0 + 11935 = 0 + 11996 = 0 + 11997 = 0 + 11998 = 0 + 11999 = 0 + 12060 = 0 + 12061 = 0 + 12062 = 0 + 12063 = 0 + 12152 = 0 + 12153 = 0 + 12154 = 0 + 12157 = 0 + 12159 = 0 + 12164 = 0 + 12168 = 0 + 12165 = 0 + 12169 = 0 + 12178 = 0 + 12180 = 0 + 12179 = 0 + 12181 = 0 + 12192 = 0 + 12193 = 0 + 12200 = 0 + 12202 = 0 + 12201 = 0 + 12203 = 0 + 12212 = 0 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13808 = 0 + 13805 = 0 + 13809 = 0 + 13820 = 0 + 13821 = 0 + 13832 = 0 + 13833 = 0 + 13840 = 0 + 13841 = 0 + 13870 = 0 + 13871 = 0 + 13872 = 0 + 13873 = 0 + 13968 = 0 + 13969 = 0 + 13970 = 0 + 13971 = 0 + 14062 = 0 + 14071 = 0 + 14072 = 0 + 14083 = 0 + 14084 = 0 + 14177 = 0 + 14178 = 0 + 14179 = 0 + 14180 = 0 + 14269 = 0 + 14270 = 0 + 14271 = 0 + 14275 = 0 + 14276 = 0 + 14281 = 0 + 14285 = 0 + 14282 = 0 + 14286 = 0 + 14297 = 0 + 14298 = 0 + 14307 = 0 + 14309 = 0 + 14308 = 0 + 14310 = 0 + 14317 = 0 + 14319 = 0 + 14318 = 0 + 14320 = 0 + 14331 = 0 + 14332 = 0 + 14347 = 0 + 14348 = 0 + 14349 = 0 + 14350 = 0 + 14411 = 0 + 14412 = 0 + 14413 = 0 + 14414 = 0 + 14445 = 0 + 14446 = 0 + 14447 = 0 + 14448 = 0 + 14538 = 0 + 14539 = 0 + 14548 = 0 + 14549 = 0 + 14558 = 0 + 14560 = 0 + 14559 = 0 + 14561 = 0 + 14570 = 0 + 14571 = 0 + 14620 = 0 + 14621 = 0 + 14622 = 0 + 14623 = 0 + 14654 = 0 + 14655 = 0 + 14656 = 0 + 14657 = 0 + 14955 = 0 + 14962 = 0 + 14963 = 0 + 14986 = 0 + 14987 = 0 + 15004 = 0 + 15005 = 0 + 15006 = 0 + 15007 = 0 + 15165 = 0 + 15185 = 0 + 15186 = 0 + 15197 = 0 + 15198 = 0 + 15247 = 0 + 15248 = 0 + 15249 = 0 + 15250 = 0 + 15373 = 0 + 15374 = 0 + 15380 = 0 + 15381 = 0 + 15394 = 0 + 15395 = 0 + 15404 = 0 + 15406 = 0 + 15405 = 0 + 15407 = 0 + 15422 = 0 + 15423 = 0 + 15424 = 0 + 15425 = 0 + 15456 = 0 + 15457 = 0 + 15458 = 0 + 15459 = 0 + 15584 = 0 + 15593 = 0 + 15594 = 0 + 15605 = 0 + 15606 = 0 + 15699 = 0 + 15700 = 0 + 15701 = 0 + 15702 = 0 + 15791 = 0 + 15793 = 0 + 15798 = 0 + 15802 = 0 + 15799 = 0 + 15803 = 0 + 15814 = 0 + 15815 = 0 + 15822 = 0 + 15823 = 0 + 15840 = 0 + 15841 = 0 + 15842 = 0 + 15843 = 0 + 15908 = 0 + 15909 = 0 + 15910 = 0 + 15911 = 0 + 16001 = 0 + 16002 = 0 + 16011 = 0 + 16012 = 0 + 16021 = 0 + 16023 = 0 + 16022 = 0 + 16024 = 0 + 16033 = 0 + 16034 = 0 + 16083 = 0 + 16084 = 0 + 16085 = 0 + 16086 = 0 + 16117 = 0 + 16118 = 0 + 16119 = 0 + 16120 = 0 + 16209 = 0 + 16210 = 0 + 16211 = 0 + 16216 = 0 + 16220 = 0 + 16217 = 0 + 16221 = 0 + 16230 = 0 + 16232 = 0 + 16231 = 0 + 16233 = 0 + 16240 = 0 + 16242 = 0 + 16241 = 0 + 16243 = 0 + 16258 = 0 + 16259 = 0 + 16260 = 0 + 16261 = 0 + 16292 = 0 + 16293 = 0 + 16294 = 0 + 16295 = 0 + 16326 = 0 + 16327 = 0 + 16328 = 0 + 16329 = 0 diff --git a/tests/deal.II/no_flux_hp_03.cc b/tests/deal.II/no_flux_hp_03.cc new file mode 100644 index 0000000000..c55f89bb9c --- /dev/null +++ b/tests/deal.II/no_flux_hp_03.cc @@ -0,0 +1,76 @@ +// check the creation of no-flux boundary conditions for a finite +// element that consists of only a single set of vector components +// (i.e. it has dim components) +// +// like no_flux_hp_01 but check on a hyper_sphere geometry + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + + +template +void test (const Triangulation& tr, + const hp::FECollection& fe) +{ + hp::DoFHandler dof(tr); + dof.distribute_dofs(fe); + + deallog << "FE=" << fe[0].get_name() + << std::endl; + + std::set boundary_ids; + boundary_ids.insert (0); + + ConstraintMatrix cm; + VectorTools::compute_no_normal_flux_constraints (dof, 0, boundary_ids, cm); + + cm.print (deallog.get_file_stream ()); +} + + + +template +void test_hyper_sphere() +{ + Triangulation tr; + GridGenerator::hyper_ball(tr); + + static const HyperBallBoundary boundary; + tr.set_boundary (0, boundary); + + tr.refine_global(2); + + for (unsigned int degree=1; degree<4; ++degree) + { + hp::FECollection fe (FESystem (FE_Q(degree), dim)); + test(tr, fe); + } +} + + +int main() +{ + std::ofstream logfile ("no_flux_hp_03/output"); + deallog << std::setprecision (2); + + deallog.attach(logfile); + deallog.depth_console (0); + deallog.threshold_double(1.e-12); + + test_hyper_sphere<2>(); + test_hyper_sphere<3>(); +} diff --git a/tests/deal.II/no_flux_hp_03/cmp/generic b/tests/deal.II/no_flux_hp_03/cmp/generic new file mode 100644 index 0000000000..7451ef1f65 --- /dev/null +++ b/tests/deal.II/no_flux_hp_03/cmp/generic @@ -0,0 +1,2573 @@ + +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2] + 1 0: -1.00000 + 3 2: -0.414214 + 9 = 0 + 19 18: 0.414214 + 23 22: 1.00000 + 50 51: -0.414214 + 56 = 0 + 70 71: 0.414214 + 77 76: 1.00000 + 122 123: 0.414214 + 126 = 0 + 134 135: -0.414214 + 139 138: -1.00000 + 155 154: 0.414214 + 161 = 0 + 171 170: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2] + 1 0: -1.00000 + 3 2: -0.414214 + 13 12: -0.668179 + 19 = 0 + 25 24: -0.198912 + 51 50: 0.414214 + 57 56: 0.198912 + 63 62: 1.00000 + 69 68: 0.668179 + 162 163: -0.414214 + 166 167: -0.668179 + 182 = 0 + 186 187: -0.198912 + 234 235: 0.414214 + 238 239: 0.198912 + 255 254: 1.00000 + 258 259: 0.668179 + 434 435: 0.414214 + 440 441: 0.668179 + 446 = 0 + 452 453: 0.198912 + 474 475: -0.414214 + 480 481: -0.198912 + 487 486: -1.00000 + 492 493: -0.668179 + 563 562: 0.414214 + 567 566: 0.668179 + 583 = 0 + 587 586: 0.198912 + 627 626: -0.414214 + 631 630: -0.198912 + 647 646: -0.668179 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2] + 1 0: -1.00000 + 3 2: -0.414214 + 18 16: -0.668179 + 19 17: -0.668179 + 33 = 0 + 42 40: -0.198912 + 43 41: -0.198912 + 99 98: 0.414214 + 108 106: 0.198912 + 109 107: 0.198912 + 123 122: 1.00000 + 132 130: 0.668179 + 133 131: 0.668179 + 338 339: -0.414214 + 342 344: -0.668179 + 343 345: -0.668179 + 380 = 0 + 384 386: -0.198912 + 385 387: -0.198912 + 494 495: 0.414214 + 498 500: 0.198912 + 499 501: 0.198912 + 537 536: 1.00000 + 540 542: 0.668179 + 541 543: 0.668179 + 938 939: 0.414214 + 946 948: 0.668179 + 947 949: 0.668179 + 962 = 0 + 970 972: 0.198912 + 971 973: 0.198912 + 1022 1023: -0.414214 + 1030 1032: -0.198912 + 1031 1033: -0.198912 + 1047 1046: -1.00000 + 1054 1056: -0.668179 + 1055 1057: -0.668179 + 1227 1226: 0.414214 + 1232 1230: 0.668179 + 1233 1231: 0.668179 + 1269 = 0 + 1274 1272: 0.198912 + 1275 1273: 0.198912 + 1371 1370: -0.414214 + 1376 1374: -0.198912 + 1377 1375: -0.198912 + 1414 1412: -0.668179 + 1415 1413: -0.668179 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3] + 375 376: -1.00000 + 375 377: -1.00000 + 379 378: -0.451175 + 379 380: -1.00000 + 381 382: -0.451175 + 381 383: -1.00000 + 386 384: -0.424009 + 386 385: -0.424009 + 400 401: -1.00000 + 404 403: -0.414445 + 411 413: -1.00000 + 416 414: -0.414445 + 416 415: 3.58328e-16 + 425 = 0 + 457 456: 0.451175 + 457 458: -1.00000 + 461 459: 0.424009 + 461 460: -0.424009 + 468 469: 1.00000 + 468 470: 1.00000 + 471 472: 0.451175 + 471 473: 1.00000 + 482 480: 0.414445 + 486 488: 1.00000 + 512 510: -1.00000 + 512 511: 0.451175 + 515 513: -0.424009 + 515 514: 0.424009 + 524 522: -2.49272e-16 + 524 523: 0.414445 + 528 529: 1.00000 + 528 530: -1.00000 + 532 531: 0.451175 + 532 533: 1.00000 + 541 542: 1.00000 + 566 564: 0.424009 + 566 565: 0.424009 + 570 571: -0.451175 + 570 572: 1.00000 + 577 576: -0.451175 + 577 578: 1.00000 + 582 583: -1.00000 + 582 584: 1.00000 + 675 676: 1.00000 + 675 677: 0.451175 + 678 679: 0.424009 + 678 680: 0.424009 + 687 689: 0.414445 + 702 703: 1.00000 + 705 706: 0.414445 + 705 707: 2.41482e-16 + 714 = 0 + 729 730: -0.424009 + 729 731: 0.424009 + 735 736: -1.00000 + 735 737: 0.451175 + 747 748: -0.414445 + 747 749: 2.49272e-16 + 753 754: -1.00000 + 795 796: 1.00000 + 795 797: -0.451175 + 798 799: 0.424009 + 798 800: -0.424009 + 807 809: -0.414445 + 822 823: 1.00000 + 822 824: -1.00000 + 827 825: -1.00000 + 827 826: 0.451175 + 834 836: -1.00000 + 849 850: -0.424009 + 849 851: -0.424009 + 855 856: -1.00000 + 855 857: -0.451175 + 867 868: -0.451175 + 867 869: -1.00000 + 873 874: -1.00000 + 873 875: -1.00000 + 915 916: -1.00000 + 915 917: 1.00000 + 919 918: -0.451175 + 919 920: 1.00000 + 927 928: -0.451175 + 927 929: 1.00000 + 932 930: 0.424009 + 932 931: 0.424009 + 940 941: 1.00000 + 947 945: -3.58328e-16 + 947 946: 0.414445 + 969 971: 1.00000 + 974 972: 0.414445 + 983 = 0 + 998 996: -0.451175 + 998 997: 1.00000 + 1004 1002: -0.424009 + 1004 1003: 0.424009 + 1016 1014: -0.414445 + 1016 1015: 2.49272e-16 + 1061 1059: 1.00000 + 1061 1060: -0.451175 + 1064 1062: 0.424009 + 1064 1063: -0.424009 + 1073 1072: -0.414445 + 1086 1087: 1.00000 + 1086 1088: 1.00000 + 1090 1089: 0.451175 + 1090 1091: -1.00000 + 1099 1100: -1.00000 + 1115 1113: -0.424009 + 1115 1114: -0.424009 + 1123 1122: -0.451175 + 1123 1124: -1.00000 + 1155 1156: -1.00000 + 1155 1157: -0.451175 + 1161 1162: -0.424009 + 1161 1163: -0.424009 + 1173 1174: -2.41482e-16 + 1173 1175: -0.414445 + 1182 1183: -1.00000 + 1188 1189: -0.414445 + 1200 = 0 + 1227 1228: 0.424009 + 1227 1229: -0.424009 + 1237 1236: 1.00000 + 1237 1238: 0.451175 + 1245 1246: 0.414445 + 1254 1255: 1.00000 + 1275 1276: -1.00000 + 1275 1277: 0.451175 + 1281 1282: -0.424009 + 1281 1283: 0.424009 + 1293 1294: -2.49272e-16 + 1293 1295: 0.414445 + 1311 1312: 0.424009 + 1311 1313: 0.424009 + 1321 1320: 1.00000 + 1321 1322: -0.451175 + 1336 1335: -0.424009 + 1336 1337: -0.424009 + 1342 1343: -0.414445 + 1354 1353: -0.414445 + 1354 1355: -2.41482e-16 + 1360 = 0 + 1372 1371: 0.424009 + 1372 1373: -0.424009 + 1381 1380: 0.414445 + 1381 1382: -2.49272e-16 + 1408 1407: -0.424009 + 1408 1409: 0.424009 + 1414 1415: 0.414445 + 1426 1425: 0.424009 + 1426 1427: 0.424009 + 1444 1443: 0.424009 + 1444 1445: 0.424009 + 1453 1452: 2.41482e-16 + 1453 1454: 0.414445 + 1462 1461: 0.414445 + 1471 = 0 + 1492 1491: -0.424009 + 1492 1493: 0.424009 + 1501 1500: -0.414445 + 1516 1515: 0.424009 + 1516 1517: -0.424009 + 1525 1524: 2.49272e-16 + 1525 1526: -0.414445 + 1540 1539: -0.424009 + 1540 1541: -0.424009 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3] + 2187 2188: -1.00000 + 2187 2189: -1.00000 + 2191 2190: -0.451175 + 2191 2192: -1.00000 + 2193 2194: -0.451175 + 2193 2195: -1.00000 + 2198 2196: -0.424009 + 2198 2197: -0.424009 + 2211 2212: -0.703508 + 2211 2213: -1.00000 + 2216 2214: -0.418657 + 2216 2215: -0.675847 + 2218 2217: -0.703508 + 2218 2219: -1.00000 + 2222 2220: -0.675847 + 2222 2221: -0.418657 + 2261 2259: -0.658024 + 2261 2260: -0.658024 + 2269 2270: -1.00000 + 2273 2272: -0.414445 + 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a/tests/deal.II/no_flux_hp_04.cc b/tests/deal.II/no_flux_hp_04.cc new file mode 100644 index 0000000000..3867bbd02f --- /dev/null +++ b/tests/deal.II/no_flux_hp_04.cc @@ -0,0 +1,135 @@ +// check the creation of no-flux boundary conditions for a finite +// element that consists of only a single set of vector components +// (i.e. it has dim components) +// +// like no_flux_hp_03 but apply the constraints to a vector field to see +// whether the result looks alright + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + + +// a function that shows something useful on the surface of a sphere +template +class RadialFunction : public Function +{ + public: + RadialFunction() : Function (dim) {} + + virtual void vector_value (const Point &p, + Vector &v) const + { + Assert (v.size() == dim, ExcInternalError()); + + switch (dim) + { + case 2: + v(0) = p[0] + p[1]; + v(1) = p[1] - p[0]; + break; + case 3: + v(0) = p[0] + p[1]; + v(1) = p[1] - p[0]; + v(2) = p[2]; + break; + default: + Assert (false, ExcNotImplemented()); + } + } +}; + + + +template +void test (const Triangulation& tr, + const hp::FECollection& fe) +{ + hp::DoFHandler dof(tr); + dof.distribute_dofs(fe); + + deallog << "FE=" << fe[0].get_name() + << std::endl; + + std::set boundary_ids; + boundary_ids.insert (0); + + ConstraintMatrix cm; + VectorTools::compute_no_normal_flux_constraints (dof, 0, boundary_ids, cm); + cm.close (); + + hp::DoFHandler dh (tr); + dh.distribute_dofs (fe); + + Vector v(dh.n_dofs()); + VectorTools::interpolate (dh, RadialFunction(), v); + + cm.distribute (v); + + // remove small entries + for (unsigned int i=0; i > data_out; + data_out.attach_dof_handler (dh); + + std::vector + data_component_interpretation + (dim, DataComponentInterpretation::component_is_part_of_vector); + + data_out.add_data_vector (v, "x", + DataOut >::type_dof_data, + data_component_interpretation); + data_out.build_patches (fe[0].degree); + + data_out.write_vtk (deallog.get_file_stream()); +} + + + +template +void test_hyper_sphere() +{ + Triangulation tr; + GridGenerator::hyper_ball(tr); + + static const HyperBallBoundary boundary; + tr.set_boundary (0, boundary); + + tr.refine_global(2); + + for (unsigned int degree=1; degree<6-dim; ++degree) + { + hp::FECollection fe (FESystem (FE_Q(degree), dim)); + test(tr, fe); + } +} + + +int main() +{ + std::ofstream logfile ("no_flux_hp_04/output"); + deallog << std::setprecision (2); + deallog << std::fixed; + deallog.attach(logfile); + deallog.depth_console (0); + deallog.threshold_double(1.e-12); + + test_hyper_sphere<2>(); + test_hyper_sphere<3>(); +} diff --git a/tests/deal.II/no_flux_hp_04/cmp/generic b/tests/deal.II/no_flux_hp_04/cmp/generic new file mode 100644 index 0000000000..186b24c1d2 --- /dev/null +++ b/tests/deal.II/no_flux_hp_04/cmp/generic @@ -0,0 +1,41223 @@ + 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b/tests/deal.II/no_flux_hp_05.cc @@ -0,0 +1,91 @@ +// check the creation of no-flux boundary conditions for a finite +// element that consists of more than dim components and where +// therefore we have to pick the vector components from somewhere in +// the middle +// +// similar to no_flux_hp_02, but for a Q^dim \times DGP element as +// used for Stokes at times. The problem here is that the DGP element +// does not have support points, which caused problems when this test +// was written + + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + + + +template +void test (const Triangulation& tr, + const hp::FECollection& fe) +{ + hp::DoFHandler dof(tr); + dof.distribute_dofs(fe); + + DoFRenumbering::component_wise (dof); + + for (unsigned int i=0; i::faces_per_cell; ++i) + { + deallog << "FE=" << fe[0].get_name() + << ", case=" << i + << std::endl; + + std::set boundary_ids; + for (unsigned int j=0; j<=i; ++j) + boundary_ids.insert (j); + + ConstraintMatrix cm; + VectorTools::compute_no_normal_flux_constraints (dof, 0, boundary_ids, cm); + + cm.print (deallog.get_file_stream ()); + } +} + + +template +void test_hyper_cube() +{ + Triangulation tr; + GridGenerator::hyper_ball(tr); + + static const HyperBallBoundary boundary; + tr.set_boundary (0, boundary); + + tr.refine_global(1); + + for (unsigned int degree=1; degree<4; ++degree) + { + hp::FECollection fe (FESystem (FE_Q(degree), dim, + FE_DGP(degree+1), 1)); + test(tr, fe); + } +} + + +int main() +{ + std::ofstream logfile ("no_flux_hp_05/output"); + deallog << std::setprecision (2); + deallog << std::fixed; + deallog.attach(logfile); + deallog.depth_console (0); + deallog.threshold_double(1.e-12); + + test_hyper_cube<2>(); + test_hyper_cube<3>(); +} diff --git a/tests/deal.II/no_flux_hp_05/cmp/generic b/tests/deal.II/no_flux_hp_05/cmp/generic new file mode 100644 index 0000000000..ad305b1701 --- /dev/null +++ b/tests/deal.II/no_flux_hp_05/cmp/generic @@ -0,0 +1,3571 @@ + +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2-FE_DGP<2>(2)], case=0 + 25 0: -1.00000 + 26 = 0 + 29 4: 1.00000 + 9 = 0 + 37 12: 1.00000 + 19 = 0 + 46 21: -1.00000 + 48 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2-FE_DGP<2>(2)], case=1 + 25 0: -1.00000 + 26 = 0 + 29 4: 1.00000 + 9 = 0 + 37 12: 1.00000 + 19 = 0 + 46 21: -1.00000 + 48 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2-FE_DGP<2>(2)], case=2 + 25 0: -1.00000 + 26 = 0 + 29 4: 1.00000 + 9 = 0 + 37 12: 1.00000 + 19 = 0 + 46 21: -1.00000 + 48 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(1)^2-FE_DGP<2>(2)], case=3 + 25 0: -1.00000 + 26 = 0 + 29 4: 1.00000 + 9 = 0 + 37 12: 1.00000 + 19 = 0 + 46 21: -1.00000 + 48 = 0 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2-FE_DGP<2>(3)], case=0 + 89 0: -1.00000 + 90 = 0 + 95 6: -0.414214 + 98 9: 1.00000 + 101 12: 0.414214 + 25 = 0 + 27 116: -0.414214 + 124 35: 1.00000 + 37 126: 0.414214 + 61 = 0 + 64 153: 0.414214 + 156 67: -1.00000 + 70 159: -0.414214 + 166 = 0 + 168 79: 0.414214 + 174 85: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2-FE_DGP<2>(3)], case=1 + 89 0: -1.00000 + 90 = 0 + 95 6: -0.414214 + 98 9: 1.00000 + 101 12: 0.414214 + 25 = 0 + 27 116: -0.414214 + 124 35: 1.00000 + 37 126: 0.414214 + 61 = 0 + 64 153: 0.414214 + 156 67: -1.00000 + 70 159: -0.414214 + 166 = 0 + 168 79: 0.414214 + 174 85: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2-FE_DGP<2>(3)], case=2 + 89 0: -1.00000 + 90 = 0 + 95 6: -0.414214 + 98 9: 1.00000 + 101 12: 0.414214 + 25 = 0 + 27 116: -0.414214 + 124 35: 1.00000 + 37 126: 0.414214 + 61 = 0 + 64 153: 0.414214 + 156 67: -1.00000 + 70 159: -0.414214 + 166 = 0 + 168 79: 0.414214 + 174 85: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(2)^2-FE_DGP<2>(3)], case=3 + 89 0: -1.00000 + 90 = 0 + 95 6: -0.414214 + 98 9: 1.00000 + 101 12: 0.414214 + 25 = 0 + 27 116: -0.414214 + 124 35: 1.00000 + 37 126: 0.414214 + 61 = 0 + 64 153: 0.414214 + 156 67: -1.00000 + 70 159: -0.414214 + 166 = 0 + 168 79: 0.414214 + 174 85: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2-FE_DGP<2>(4)], case=0 + 193 0: -1.00000 + 194 = 0 + 201 8: -0.414214 + 202 9: -0.414214 + 209 16: 1.00000 + 213 20: 0.414214 + 214 21: 0.414214 + 49 = 0 + 51 244: -0.414214 + 52 245: -0.414214 + 263 70: 1.00000 + 72 265: 0.414214 + 73 266: 0.414214 + 127 = 0 + 131 324: 0.414214 + 132 325: 0.414214 + 332 139: -1.00000 + 143 336: -0.414214 + 144 337: -0.414214 + 356 = 0 + 358 165: 0.414214 + 359 166: 0.414214 + 374 181: -0.414214 + 375 182: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2-FE_DGP<2>(4)], case=1 + 193 0: -1.00000 + 194 = 0 + 201 8: -0.414214 + 202 9: -0.414214 + 209 16: 1.00000 + 213 20: 0.414214 + 214 21: 0.414214 + 49 = 0 + 51 244: -0.414214 + 52 245: -0.414214 + 263 70: 1.00000 + 72 265: 0.414214 + 73 266: 0.414214 + 127 = 0 + 131 324: 0.414214 + 132 325: 0.414214 + 332 139: -1.00000 + 143 336: -0.414214 + 144 337: -0.414214 + 356 = 0 + 358 165: 0.414214 + 359 166: 0.414214 + 374 181: -0.414214 + 375 182: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2-FE_DGP<2>(4)], case=2 + 193 0: -1.00000 + 194 = 0 + 201 8: -0.414214 + 202 9: -0.414214 + 209 16: 1.00000 + 213 20: 0.414214 + 214 21: 0.414214 + 49 = 0 + 51 244: -0.414214 + 52 245: -0.414214 + 263 70: 1.00000 + 72 265: 0.414214 + 73 266: 0.414214 + 127 = 0 + 131 324: 0.414214 + 132 325: 0.414214 + 332 139: -1.00000 + 143 336: -0.414214 + 144 337: -0.414214 + 356 = 0 + 358 165: 0.414214 + 359 166: 0.414214 + 374 181: -0.414214 + 375 182: -0.414214 +DEAL::FE=FESystem<2>[FE_Q<2>(3)^2-FE_DGP<2>(4)], case=3 + 193 0: -1.00000 + 194 = 0 + 201 8: -0.414214 + 202 9: -0.414214 + 209 16: 1.00000 + 213 20: 0.414214 + 214 21: 0.414214 + 49 = 0 + 51 244: -0.414214 + 52 245: -0.414214 + 263 70: 1.00000 + 72 265: 0.414214 + 73 266: 0.414214 + 127 = 0 + 131 324: 0.414214 + 132 325: 0.414214 + 332 139: -1.00000 + 143 336: -0.414214 + 144 337: -0.414214 + 356 = 0 + 358 165: 0.414214 + 359 166: 0.414214 + 374 181: -0.414214 + 375 182: -0.414214 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3-FE_DGP<3>(2)], case=0 + 27 106: -1.00000 + 27 185: -1.00000 + 107 186: -1.00000 + 29 187: -1.00000 + 188 = 0 + 35 114: 1.00000 + 35 193: 1.00000 + 36 194: 1.00000 + 39 118: 1.00000 + 39 197: -1.00000 + 119 198: 1.00000 + 43 122: -1.00000 + 43 201: 1.00000 + 45 124: 1.00000 + 46 = 0 + 49 128: -1.00000 + 51 130: 1.00000 + 51 209: -1.00000 + 52 210: -1.00000 + 55 134: -1.00000 + 55 213: -1.00000 + 57 136: -1.00000 + 57 215: 1.00000 + 137 216: 1.00000 + 61 219: 1.00000 + 220 = 0 + 65 144: 1.00000 + 65 223: 1.00000 + 145 224: -1.00000 + 69 148: -1.00000 + 71 = 0 + 73 152: 1.00000 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3-FE_DGP<3>(2)], case=1 + 27 106: -1.00000 + 27 185: -1.00000 + 107 186: -1.00000 + 29 187: -1.00000 + 188 = 0 + 35 114: 1.00000 + 35 193: 1.00000 + 36 194: 1.00000 + 39 118: 1.00000 + 39 197: -1.00000 + 119 198: 1.00000 + 43 122: -1.00000 + 43 201: 1.00000 + 45 124: 1.00000 + 46 = 0 + 49 128: -1.00000 + 51 130: 1.00000 + 51 209: -1.00000 + 52 210: -1.00000 + 55 134: -1.00000 + 55 213: -1.00000 + 57 136: -1.00000 + 57 215: 1.00000 + 137 216: 1.00000 + 61 219: 1.00000 + 220 = 0 + 65 144: 1.00000 + 65 223: 1.00000 + 145 224: -1.00000 + 69 148: -1.00000 + 71 = 0 + 73 152: 1.00000 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3-FE_DGP<3>(2)], case=2 + 27 106: -1.00000 + 27 185: -1.00000 + 107 186: -1.00000 + 29 187: -1.00000 + 188 = 0 + 35 114: 1.00000 + 35 193: 1.00000 + 36 194: 1.00000 + 39 118: 1.00000 + 39 197: -1.00000 + 119 198: 1.00000 + 43 122: -1.00000 + 43 201: 1.00000 + 45 124: 1.00000 + 46 = 0 + 49 128: -1.00000 + 51 130: 1.00000 + 51 209: -1.00000 + 52 210: -1.00000 + 55 134: -1.00000 + 55 213: -1.00000 + 57 136: -1.00000 + 57 215: 1.00000 + 137 216: 1.00000 + 61 219: 1.00000 + 220 = 0 + 65 144: 1.00000 + 65 223: 1.00000 + 145 224: -1.00000 + 69 148: -1.00000 + 71 = 0 + 73 152: 1.00000 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3-FE_DGP<3>(2)], case=3 + 27 106: -1.00000 + 27 185: -1.00000 + 107 186: -1.00000 + 29 187: -1.00000 + 188 = 0 + 35 114: 1.00000 + 35 193: 1.00000 + 36 194: 1.00000 + 39 118: 1.00000 + 39 197: -1.00000 + 119 198: 1.00000 + 43 122: -1.00000 + 43 201: 1.00000 + 45 124: 1.00000 + 46 = 0 + 49 128: -1.00000 + 51 130: 1.00000 + 51 209: -1.00000 + 52 210: -1.00000 + 55 134: -1.00000 + 55 213: -1.00000 + 57 136: -1.00000 + 57 215: 1.00000 + 137 216: 1.00000 + 61 219: 1.00000 + 220 = 0 + 65 144: 1.00000 + 65 223: 1.00000 + 145 224: -1.00000 + 69 148: -1.00000 + 71 = 0 + 73 152: 1.00000 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3-FE_DGP<3>(2)], case=4 + 27 106: -1.00000 + 27 185: -1.00000 + 107 186: -1.00000 + 29 187: -1.00000 + 188 = 0 + 35 114: 1.00000 + 35 193: 1.00000 + 36 194: 1.00000 + 39 118: 1.00000 + 39 197: -1.00000 + 119 198: 1.00000 + 43 122: -1.00000 + 43 201: 1.00000 + 45 124: 1.00000 + 46 = 0 + 49 128: -1.00000 + 51 130: 1.00000 + 51 209: -1.00000 + 52 210: -1.00000 + 55 134: -1.00000 + 55 213: -1.00000 + 57 136: -1.00000 + 57 215: 1.00000 + 137 216: 1.00000 + 61 219: 1.00000 + 220 = 0 + 65 144: 1.00000 + 65 223: 1.00000 + 145 224: -1.00000 + 69 148: -1.00000 + 71 = 0 + 73 152: 1.00000 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(1)^3-FE_DGP<3>(2)], case=5 + 27 106: -1.00000 + 27 185: -1.00000 + 107 186: -1.00000 + 29 187: -1.00000 + 188 = 0 + 35 114: 1.00000 + 35 193: 1.00000 + 36 194: 1.00000 + 39 118: 1.00000 + 39 197: -1.00000 + 119 198: 1.00000 + 43 122: -1.00000 + 43 201: 1.00000 + 45 124: 1.00000 + 46 = 0 + 49 128: -1.00000 + 51 130: 1.00000 + 51 209: -1.00000 + 52 210: -1.00000 + 55 134: -1.00000 + 55 213: -1.00000 + 57 136: -1.00000 + 57 215: 1.00000 + 137 216: 1.00000 + 61 219: 1.00000 + 220 = 0 + 65 144: 1.00000 + 65 223: 1.00000 + 145 224: -1.00000 + 69 148: -1.00000 + 71 = 0 + 73 152: 1.00000 + 154 = 0 + 156 = 0 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3-FE_DGP<3>(3)], case=0 + 125 642: -1.00000 + 125 1159: -1.00000 + 643 1160: -1.00000 + 127 1161: -1.00000 + 1162 = 0 + 133 650: -0.449490 + 133 1167: -1.00000 + 1168 651: -0.414214 + 652 135: -0.449490 + 652 1169: -1.00000 + 1170 136: -0.414214 + 1183 149: -0.366025 + 1183 666: -0.366025 + 152 669: 1.00000 + 152 1186: 1.00000 + 153 1187: 1.00000 + 156 673: 0.449490 + 156 1190: 1.00000 + 674 157: 0.449490 + 674 1191: -1.00000 + 1192 158: 0.414214 + 1201 167: 0.366025 + 1201 684: -0.366025 + 170 687: 1.00000 + 170 1204: -1.00000 + 688 1205: 1.00000 + 174 691: 0.449490 + 174 1208: -1.00000 + 1209 692: 0.414214 + 693 176: 0.449490 + 693 1210: 1.00000 + 1219 185: -0.366025 + 1219 702: 0.366025 + 188 705: -1.00000 + 188 1222: 1.00000 + 190 707: -0.449490 + 190 1224: 1.00000 + 708 191: -0.449490 + 708 1225: 1.00000 + 1231 197: 0.366025 + 1231 714: 0.366025 + 225 742: 1.00000 + 226 = 0 + 231 748: 0.414214 + 233 750: 1.00000 + 233 1267: 0.449490 + 234 1268: 0.414214 + 239 756: 0.366025 + 239 1273: 0.366025 + 243 760: -1.00000 + 246 763: -0.414214 + 248 765: -1.00000 + 248 1282: 0.449490 + 251 768: -0.366025 + 251 1285: 0.366025 + 265 782: 1.00000 + 265 1299: -1.00000 + 266 1300: -1.00000 + 271 788: 0.449490 + 271 1305: -1.00000 + 273 790: 1.00000 + 273 1307: -0.449490 + 274 1308: -0.414214 + 279 796: 0.366025 + 279 1313: -0.366025 + 283 800: -1.00000 + 283 1317: -1.00000 + 286 803: -0.449490 + 286 1320: -1.00000 + 288 805: -1.00000 + 288 1322: -0.449490 + 291 808: -0.366025 + 291 1325: -0.366025 + 305 822: -1.00000 + 305 1339: 1.00000 + 823 1340: 1.00000 + 309 1343: 1.00000 + 1344 = 0 + 832 315: -0.449490 + 832 1349: 1.00000 + 1353 319: 0.414214 + 321 838: -0.449490 + 321 1355: 1.00000 + 1356 839: 0.414214 + 1361 327: 0.366025 + 1361 844: 0.366025 + 849 332: 0.449490 + 849 1366: 1.00000 + 1368 334: -0.414214 + 1370 336: -0.366025 + 1370 853: 0.366025 + 353 870: 1.00000 + 353 1387: 1.00000 + 871 1388: -1.00000 + 876 359: 0.449490 + 876 1393: -1.00000 + 361 878: 0.449490 + 361 1395: 1.00000 + 1396 879: -0.414214 + 1401 367: 0.366025 + 1401 884: -0.366025 + 888 371: -0.449490 + 888 1405: -1.00000 + 1407 373: -0.366025 + 1407 890: -0.366025 + 385 902: -1.00000 + 387 = 0 + 389 906: -0.414214 + 393 910: -1.00000 + 393 1427: -0.449490 + 395 1429: -0.414214 + 397 914: -0.366025 + 397 1431: -0.366025 + 409 926: 1.00000 + 411 928: 0.414214 + 414 931: 1.00000 + 414 1448: -0.449490 + 416 933: 0.366025 + 416 1450: -0.366025 + 425 942: -1.00000 + 425 1459: 0.449490 + 427 1461: 0.414214 + 429 946: -0.366025 + 429 1463: 0.366025 + 437 954: 1.00000 + 437 1471: 0.449490 + 439 956: 0.366025 + 439 1473: 0.366025 + 962 = 0 + 965 448: -0.414214 + 967 1484: -0.414214 + 970 453: -0.366025 + 970 1487: -0.366025 + 974 457: 0.414214 + 976 459: 0.366025 + 976 1493: -0.366025 + 986 1503: 0.414214 + 989 472: -0.366025 + 989 1506: 0.366025 + 992 475: 0.366025 + 992 1509: 0.366025 + 998 = 0 + 1000 483: 0.414214 + 1003 1520: 0.414214 + 1005 488: 0.366025 + 1005 1522: 0.366025 + 1014 497: -0.414214 + 1016 499: -0.366025 + 1016 1533: 0.366025 + 1022 1539: -0.414214 + 1024 507: 0.366025 + 1024 1541: -0.366025 + 1030 513: -0.366025 + 1030 1547: -0.366025 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3-FE_DGP<3>(3)], case=1 + 125 642: -1.00000 + 125 1159: -1.00000 + 643 1160: -1.00000 + 127 1161: -1.00000 + 1162 = 0 + 133 650: -0.449490 + 133 1167: -1.00000 + 1168 651: -0.414214 + 652 135: -0.449490 + 652 1169: -1.00000 + 1170 136: -0.414214 + 1183 149: -0.366025 + 1183 666: -0.366025 + 152 669: 1.00000 + 152 1186: 1.00000 + 153 1187: 1.00000 + 156 673: 0.449490 + 156 1190: 1.00000 + 674 157: 0.449490 + 674 1191: -1.00000 + 1192 158: 0.414214 + 1201 167: 0.366025 + 1201 684: -0.366025 + 170 687: 1.00000 + 170 1204: -1.00000 + 688 1205: 1.00000 + 174 691: 0.449490 + 174 1208: -1.00000 + 1209 692: 0.414214 + 693 176: 0.449490 + 693 1210: 1.00000 + 1219 185: -0.366025 + 1219 702: 0.366025 + 188 705: -1.00000 + 188 1222: 1.00000 + 190 707: -0.449490 + 190 1224: 1.00000 + 708 191: -0.449490 + 708 1225: 1.00000 + 1231 197: 0.366025 + 1231 714: 0.366025 + 225 742: 1.00000 + 226 = 0 + 231 748: 0.414214 + 233 750: 1.00000 + 233 1267: 0.449490 + 234 1268: 0.414214 + 239 756: 0.366025 + 239 1273: 0.366025 + 243 760: -1.00000 + 246 763: -0.414214 + 248 765: -1.00000 + 248 1282: 0.449490 + 251 768: -0.366025 + 251 1285: 0.366025 + 265 782: 1.00000 + 265 1299: -1.00000 + 266 1300: -1.00000 + 271 788: 0.449490 + 271 1305: -1.00000 + 273 790: 1.00000 + 273 1307: -0.449490 + 274 1308: -0.414214 + 279 796: 0.366025 + 279 1313: -0.366025 + 283 800: -1.00000 + 283 1317: -1.00000 + 286 803: -0.449490 + 286 1320: -1.00000 + 288 805: -1.00000 + 288 1322: -0.449490 + 291 808: -0.366025 + 291 1325: -0.366025 + 305 822: -1.00000 + 305 1339: 1.00000 + 823 1340: 1.00000 + 309 1343: 1.00000 + 1344 = 0 + 832 315: -0.449490 + 832 1349: 1.00000 + 1353 319: 0.414214 + 321 838: -0.449490 + 321 1355: 1.00000 + 1356 839: 0.414214 + 1361 327: 0.366025 + 1361 844: 0.366025 + 849 332: 0.449490 + 849 1366: 1.00000 + 1368 334: -0.414214 + 1370 336: -0.366025 + 1370 853: 0.366025 + 353 870: 1.00000 + 353 1387: 1.00000 + 871 1388: -1.00000 + 876 359: 0.449490 + 876 1393: -1.00000 + 361 878: 0.449490 + 361 1395: 1.00000 + 1396 879: -0.414214 + 1401 367: 0.366025 + 1401 884: -0.366025 + 888 371: -0.449490 + 888 1405: -1.00000 + 1407 373: -0.366025 + 1407 890: -0.366025 + 385 902: -1.00000 + 387 = 0 + 389 906: -0.414214 + 393 910: -1.00000 + 393 1427: -0.449490 + 395 1429: -0.414214 + 397 914: -0.366025 + 397 1431: -0.366025 + 409 926: 1.00000 + 411 928: 0.414214 + 414 931: 1.00000 + 414 1448: -0.449490 + 416 933: 0.366025 + 416 1450: -0.366025 + 425 942: -1.00000 + 425 1459: 0.449490 + 427 1461: 0.414214 + 429 946: -0.366025 + 429 1463: 0.366025 + 437 954: 1.00000 + 437 1471: 0.449490 + 439 956: 0.366025 + 439 1473: 0.366025 + 962 = 0 + 965 448: -0.414214 + 967 1484: -0.414214 + 970 453: -0.366025 + 970 1487: -0.366025 + 974 457: 0.414214 + 976 459: 0.366025 + 976 1493: -0.366025 + 986 1503: 0.414214 + 989 472: -0.366025 + 989 1506: 0.366025 + 992 475: 0.366025 + 992 1509: 0.366025 + 998 = 0 + 1000 483: 0.414214 + 1003 1520: 0.414214 + 1005 488: 0.366025 + 1005 1522: 0.366025 + 1014 497: -0.414214 + 1016 499: -0.366025 + 1016 1533: 0.366025 + 1022 1539: -0.414214 + 1024 507: 0.366025 + 1024 1541: -0.366025 + 1030 513: -0.366025 + 1030 1547: -0.366025 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3-FE_DGP<3>(3)], case=2 + 125 642: -1.00000 + 125 1159: -1.00000 + 643 1160: -1.00000 + 127 1161: -1.00000 + 1162 = 0 + 133 650: -0.449490 + 133 1167: -1.00000 + 1168 651: -0.414214 + 652 135: -0.449490 + 652 1169: -1.00000 + 1170 136: -0.414214 + 1183 149: -0.366025 + 1183 666: -0.366025 + 152 669: 1.00000 + 152 1186: 1.00000 + 153 1187: 1.00000 + 156 673: 0.449490 + 156 1190: 1.00000 + 674 157: 0.449490 + 674 1191: -1.00000 + 1192 158: 0.414214 + 1201 167: 0.366025 + 1201 684: -0.366025 + 170 687: 1.00000 + 170 1204: -1.00000 + 688 1205: 1.00000 + 174 691: 0.449490 + 174 1208: -1.00000 + 1209 692: 0.414214 + 693 176: 0.449490 + 693 1210: 1.00000 + 1219 185: -0.366025 + 1219 702: 0.366025 + 188 705: -1.00000 + 188 1222: 1.00000 + 190 707: -0.449490 + 190 1224: 1.00000 + 708 191: -0.449490 + 708 1225: 1.00000 + 1231 197: 0.366025 + 1231 714: 0.366025 + 225 742: 1.00000 + 226 = 0 + 231 748: 0.414214 + 233 750: 1.00000 + 233 1267: 0.449490 + 234 1268: 0.414214 + 239 756: 0.366025 + 239 1273: 0.366025 + 243 760: -1.00000 + 246 763: -0.414214 + 248 765: -1.00000 + 248 1282: 0.449490 + 251 768: -0.366025 + 251 1285: 0.366025 + 265 782: 1.00000 + 265 1299: -1.00000 + 266 1300: -1.00000 + 271 788: 0.449490 + 271 1305: -1.00000 + 273 790: 1.00000 + 273 1307: -0.449490 + 274 1308: -0.414214 + 279 796: 0.366025 + 279 1313: -0.366025 + 283 800: -1.00000 + 283 1317: -1.00000 + 286 803: -0.449490 + 286 1320: -1.00000 + 288 805: -1.00000 + 288 1322: -0.449490 + 291 808: -0.366025 + 291 1325: -0.366025 + 305 822: -1.00000 + 305 1339: 1.00000 + 823 1340: 1.00000 + 309 1343: 1.00000 + 1344 = 0 + 832 315: -0.449490 + 832 1349: 1.00000 + 1353 319: 0.414214 + 321 838: -0.449490 + 321 1355: 1.00000 + 1356 839: 0.414214 + 1361 327: 0.366025 + 1361 844: 0.366025 + 849 332: 0.449490 + 849 1366: 1.00000 + 1368 334: -0.414214 + 1370 336: -0.366025 + 1370 853: 0.366025 + 353 870: 1.00000 + 353 1387: 1.00000 + 871 1388: -1.00000 + 876 359: 0.449490 + 876 1393: -1.00000 + 361 878: 0.449490 + 361 1395: 1.00000 + 1396 879: -0.414214 + 1401 367: 0.366025 + 1401 884: -0.366025 + 888 371: -0.449490 + 888 1405: -1.00000 + 1407 373: -0.366025 + 1407 890: -0.366025 + 385 902: -1.00000 + 387 = 0 + 389 906: -0.414214 + 393 910: -1.00000 + 393 1427: -0.449490 + 395 1429: -0.414214 + 397 914: -0.366025 + 397 1431: -0.366025 + 409 926: 1.00000 + 411 928: 0.414214 + 414 931: 1.00000 + 414 1448: -0.449490 + 416 933: 0.366025 + 416 1450: -0.366025 + 425 942: -1.00000 + 425 1459: 0.449490 + 427 1461: 0.414214 + 429 946: -0.366025 + 429 1463: 0.366025 + 437 954: 1.00000 + 437 1471: 0.449490 + 439 956: 0.366025 + 439 1473: 0.366025 + 962 = 0 + 965 448: -0.414214 + 967 1484: -0.414214 + 970 453: -0.366025 + 970 1487: -0.366025 + 974 457: 0.414214 + 976 459: 0.366025 + 976 1493: -0.366025 + 986 1503: 0.414214 + 989 472: -0.366025 + 989 1506: 0.366025 + 992 475: 0.366025 + 992 1509: 0.366025 + 998 = 0 + 1000 483: 0.414214 + 1003 1520: 0.414214 + 1005 488: 0.366025 + 1005 1522: 0.366025 + 1014 497: -0.414214 + 1016 499: -0.366025 + 1016 1533: 0.366025 + 1022 1539: -0.414214 + 1024 507: 0.366025 + 1024 1541: -0.366025 + 1030 513: -0.366025 + 1030 1547: -0.366025 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3-FE_DGP<3>(3)], case=3 + 125 642: -1.00000 + 125 1159: -1.00000 + 643 1160: -1.00000 + 127 1161: -1.00000 + 1162 = 0 + 133 650: -0.449490 + 133 1167: -1.00000 + 1168 651: -0.414214 + 652 135: -0.449490 + 652 1169: -1.00000 + 1170 136: -0.414214 + 1183 149: -0.366025 + 1183 666: -0.366025 + 152 669: 1.00000 + 152 1186: 1.00000 + 153 1187: 1.00000 + 156 673: 0.449490 + 156 1190: 1.00000 + 674 157: 0.449490 + 674 1191: -1.00000 + 1192 158: 0.414214 + 1201 167: 0.366025 + 1201 684: -0.366025 + 170 687: 1.00000 + 170 1204: -1.00000 + 688 1205: 1.00000 + 174 691: 0.449490 + 174 1208: -1.00000 + 1209 692: 0.414214 + 693 176: 0.449490 + 693 1210: 1.00000 + 1219 185: -0.366025 + 1219 702: 0.366025 + 188 705: -1.00000 + 188 1222: 1.00000 + 190 707: -0.449490 + 190 1224: 1.00000 + 708 191: -0.449490 + 708 1225: 1.00000 + 1231 197: 0.366025 + 1231 714: 0.366025 + 225 742: 1.00000 + 226 = 0 + 231 748: 0.414214 + 233 750: 1.00000 + 233 1267: 0.449490 + 234 1268: 0.414214 + 239 756: 0.366025 + 239 1273: 0.366025 + 243 760: -1.00000 + 246 763: -0.414214 + 248 765: -1.00000 + 248 1282: 0.449490 + 251 768: -0.366025 + 251 1285: 0.366025 + 265 782: 1.00000 + 265 1299: -1.00000 + 266 1300: -1.00000 + 271 788: 0.449490 + 271 1305: -1.00000 + 273 790: 1.00000 + 273 1307: -0.449490 + 274 1308: -0.414214 + 279 796: 0.366025 + 279 1313: -0.366025 + 283 800: -1.00000 + 283 1317: -1.00000 + 286 803: -0.449490 + 286 1320: -1.00000 + 288 805: -1.00000 + 288 1322: -0.449490 + 291 808: -0.366025 + 291 1325: -0.366025 + 305 822: -1.00000 + 305 1339: 1.00000 + 823 1340: 1.00000 + 309 1343: 1.00000 + 1344 = 0 + 832 315: -0.449490 + 832 1349: 1.00000 + 1353 319: 0.414214 + 321 838: -0.449490 + 321 1355: 1.00000 + 1356 839: 0.414214 + 1361 327: 0.366025 + 1361 844: 0.366025 + 849 332: 0.449490 + 849 1366: 1.00000 + 1368 334: -0.414214 + 1370 336: -0.366025 + 1370 853: 0.366025 + 353 870: 1.00000 + 353 1387: 1.00000 + 871 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0.414214 + 1003 1520: 0.414214 + 1005 488: 0.366025 + 1005 1522: 0.366025 + 1014 497: -0.414214 + 1016 499: -0.366025 + 1016 1533: 0.366025 + 1022 1539: -0.414214 + 1024 507: 0.366025 + 1024 1541: -0.366025 + 1030 513: -0.366025 + 1030 1547: -0.366025 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3-FE_DGP<3>(3)], case=4 + 125 642: -1.00000 + 125 1159: -1.00000 + 643 1160: -1.00000 + 127 1161: -1.00000 + 1162 = 0 + 133 650: -0.449490 + 133 1167: -1.00000 + 1168 651: -0.414214 + 652 135: -0.449490 + 652 1169: -1.00000 + 1170 136: -0.414214 + 1183 149: -0.366025 + 1183 666: -0.366025 + 152 669: 1.00000 + 152 1186: 1.00000 + 153 1187: 1.00000 + 156 673: 0.449490 + 156 1190: 1.00000 + 674 157: 0.449490 + 674 1191: -1.00000 + 1192 158: 0.414214 + 1201 167: 0.366025 + 1201 684: -0.366025 + 170 687: 1.00000 + 170 1204: -1.00000 + 688 1205: 1.00000 + 174 691: 0.449490 + 174 1208: -1.00000 + 1209 692: 0.414214 + 693 176: 0.449490 + 693 1210: 1.00000 + 1219 185: -0.366025 + 1219 702: 0.366025 + 188 705: -1.00000 + 188 1222: 1.00000 + 190 707: -0.449490 + 190 1224: 1.00000 + 708 191: -0.449490 + 708 1225: 1.00000 + 1231 197: 0.366025 + 1231 714: 0.366025 + 225 742: 1.00000 + 226 = 0 + 231 748: 0.414214 + 233 750: 1.00000 + 233 1267: 0.449490 + 234 1268: 0.414214 + 239 756: 0.366025 + 239 1273: 0.366025 + 243 760: -1.00000 + 246 763: -0.414214 + 248 765: -1.00000 + 248 1282: 0.449490 + 251 768: -0.366025 + 251 1285: 0.366025 + 265 782: 1.00000 + 265 1299: -1.00000 + 266 1300: -1.00000 + 271 788: 0.449490 + 271 1305: -1.00000 + 273 790: 1.00000 + 273 1307: -0.449490 + 274 1308: -0.414214 + 279 796: 0.366025 + 279 1313: -0.366025 + 283 800: -1.00000 + 283 1317: -1.00000 + 286 803: -0.449490 + 286 1320: -1.00000 + 288 805: -1.00000 + 288 1322: -0.449490 + 291 808: -0.366025 + 291 1325: -0.366025 + 305 822: -1.00000 + 305 1339: 1.00000 + 823 1340: 1.00000 + 309 1343: 1.00000 + 1344 = 0 + 832 315: -0.449490 + 832 1349: 1.00000 + 1353 319: 0.414214 + 321 838: -0.449490 + 321 1355: 1.00000 + 1356 839: 0.414214 + 1361 327: 0.366025 + 1361 844: 0.366025 + 849 332: 0.449490 + 849 1366: 1.00000 + 1368 334: -0.414214 + 1370 336: -0.366025 + 1370 853: 0.366025 + 353 870: 1.00000 + 353 1387: 1.00000 + 871 1388: -1.00000 + 876 359: 0.449490 + 876 1393: -1.00000 + 361 878: 0.449490 + 361 1395: 1.00000 + 1396 879: -0.414214 + 1401 367: 0.366025 + 1401 884: -0.366025 + 888 371: -0.449490 + 888 1405: -1.00000 + 1407 373: -0.366025 + 1407 890: -0.366025 + 385 902: -1.00000 + 387 = 0 + 389 906: -0.414214 + 393 910: -1.00000 + 393 1427: -0.449490 + 395 1429: -0.414214 + 397 914: -0.366025 + 397 1431: -0.366025 + 409 926: 1.00000 + 411 928: 0.414214 + 414 931: 1.00000 + 414 1448: -0.449490 + 416 933: 0.366025 + 416 1450: -0.366025 + 425 942: -1.00000 + 425 1459: 0.449490 + 427 1461: 0.414214 + 429 946: -0.366025 + 429 1463: 0.366025 + 437 954: 1.00000 + 437 1471: 0.449490 + 439 956: 0.366025 + 439 1473: 0.366025 + 962 = 0 + 965 448: -0.414214 + 967 1484: -0.414214 + 970 453: -0.366025 + 970 1487: -0.366025 + 974 457: 0.414214 + 976 459: 0.366025 + 976 1493: -0.366025 + 986 1503: 0.414214 + 989 472: -0.366025 + 989 1506: 0.366025 + 992 475: 0.366025 + 992 1509: 0.366025 + 998 = 0 + 1000 483: 0.414214 + 1003 1520: 0.414214 + 1005 488: 0.366025 + 1005 1522: 0.366025 + 1014 497: -0.414214 + 1016 499: -0.366025 + 1016 1533: 0.366025 + 1022 1539: -0.414214 + 1024 507: 0.366025 + 1024 1541: -0.366025 + 1030 513: -0.366025 + 1030 1547: -0.366025 +DEAL::FE=FESystem<3>[FE_Q<3>(2)^3-FE_DGP<3>(3)], case=5 + 125 642: -1.00000 + 125 1159: -1.00000 + 643 1160: -1.00000 + 127 1161: -1.00000 + 1162 = 0 + 133 650: -0.449490 + 133 1167: -1.00000 + 1168 651: -0.414214 + 652 135: -0.449490 + 652 1169: -1.00000 + 1170 136: -0.414214 + 1183 149: -0.366025 + 1183 666: -0.366025 + 152 669: 1.00000 + 152 1186: 1.00000 + 153 1187: 1.00000 + 156 673: 0.449490 + 156 1190: 1.00000 + 674 157: 0.449490 + 674 1191: -1.00000 + 1192 158: 0.414214 + 1201 167: 0.366025 + 1201 684: -0.366025 + 170 687: 1.00000 + 170 1204: -1.00000 + 688 1205: 1.00000 + 174 691: 0.449490 + 174 1208: -1.00000 + 1209 692: 0.414214 + 693 176: 0.449490 + 693 1210: 1.00000 + 1219 185: -0.366025 + 1219 702: 0.366025 + 188 705: -1.00000 + 188 1222: 1.00000 + 190 707: -0.449490 + 190 1224: 1.00000 + 708 191: -0.449490 + 708 1225: 1.00000 + 1231 197: 0.366025 + 1231 714: 0.366025 + 225 742: 1.00000 + 226 = 0 + 231 748: 0.414214 + 233 750: 1.00000 + 233 1267: 0.449490 + 234 1268: 0.414214 + 239 756: 0.366025 + 239 1273: 0.366025 + 243 760: -1.00000 + 246 763: -0.414214 + 248 765: -1.00000 + 248 1282: 0.449490 + 251 768: -0.366025 + 251 1285: 0.366025 + 265 782: 1.00000 + 265 1299: -1.00000 + 266 1300: -1.00000 + 271 788: 0.449490 + 271 1305: -1.00000 + 273 790: 1.00000 + 273 1307: -0.449490 + 274 1308: -0.414214 + 279 796: 0.366025 + 279 1313: -0.366025 + 283 800: -1.00000 + 283 1317: -1.00000 + 286 803: -0.449490 + 286 1320: -1.00000 + 288 805: -1.00000 + 288 1322: -0.449490 + 291 808: -0.366025 + 291 1325: -0.366025 + 305 822: -1.00000 + 305 1339: 1.00000 + 823 1340: 1.00000 + 309 1343: 1.00000 + 1344 = 0 + 832 315: -0.449490 + 832 1349: 1.00000 + 1353 319: 0.414214 + 321 838: -0.449490 + 321 1355: 1.00000 + 1356 839: 0.414214 + 1361 327: 0.366025 + 1361 844: 0.366025 + 849 332: 0.449490 + 849 1366: 1.00000 + 1368 334: -0.414214 + 1370 336: -0.366025 + 1370 853: 0.366025 + 353 870: 1.00000 + 353 1387: 1.00000 + 871 1388: -1.00000 + 876 359: 0.449490 + 876 1393: -1.00000 + 361 878: 0.449490 + 361 1395: 1.00000 + 1396 879: -0.414214 + 1401 367: 0.366025 + 1401 884: -0.366025 + 888 371: -0.449490 + 888 1405: -1.00000 + 1407 373: -0.366025 + 1407 890: -0.366025 + 385 902: -1.00000 + 387 = 0 + 389 906: -0.414214 + 393 910: -1.00000 + 393 1427: -0.449490 + 395 1429: -0.414214 + 397 914: -0.366025 + 397 1431: -0.366025 + 409 926: 1.00000 + 411 928: 0.414214 + 414 931: 1.00000 + 414 1448: -0.449490 + 416 933: 0.366025 + 416 1450: -0.366025 + 425 942: -1.00000 + 425 1459: 0.449490 + 427 1461: 0.414214 + 429 946: -0.366025 + 429 1463: 0.366025 + 437 954: 1.00000 + 437 1471: 0.449490 + 439 956: 0.366025 + 439 1473: 0.366025 + 962 = 0 + 965 448: -0.414214 + 967 1484: -0.414214 + 970 453: -0.366025 + 970 1487: -0.366025 + 974 457: 0.414214 + 976 459: 0.366025 + 976 1493: -0.366025 + 986 1503: 0.414214 + 989 472: -0.366025 + 989 1506: 0.366025 + 992 475: 0.366025 + 992 1509: 0.366025 + 998 = 0 + 1000 483: 0.414214 + 1003 1520: 0.414214 + 1005 488: 0.366025 + 1005 1522: 0.366025 + 1014 497: -0.414214 + 1016 499: -0.366025 + 1016 1533: 0.366025 + 1022 1539: -0.414214 + 1024 507: 0.366025 + 1024 1541: -0.366025 + 1030 513: -0.366025 + 1030 1547: -0.366025 +DEAL::FE=FESystem<3>[FE_Q<3>(3)^3-FE_DGP<3>(4)], case=0 + 343 1994: -1.00000 + 343 3645: -1.00000 + 1995 3646: -1.00000 + 345 3647: -1.00000 + 3648 = 0 + 351 2002: -0.449490 + 351 3653: -1.00000 + 352 2003: -0.449490 + 352 3654: -1.00000 + 3655 2004: -0.414214 + 3656 2005: -0.414214 + 2006 355: -0.449490 + 2006 3657: -1.00000 + 2007 356: -0.449490 + 2007 3658: -1.00000 + 3659 357: -0.414214 + 3660 358: -0.414214 + 3693 391: -0.344760 + 3693 2042: -0.344760 + 3694 392: -0.349963 + 3694 2043: -0.382088 + 3695 393: -0.382088 + 3695 2044: -0.349963 + 3696 394: -0.384327 + 3696 2045: -0.384327 + 407 2058: 1.00000 + 407 3709: 1.00000 + 408 3710: 1.00000 + 411 2062: 0.449490 + 411 3713: 1.00000 + 412 2063: 0.449490 + 412 3714: 1.00000 + 2064 413: 0.449490 + 2064 3715: -1.00000 + 2065 414: 0.449490 + 2065 3716: -1.00000 + 3717 415: 0.414214 + 3718 416: 0.414214 + 3741 439: 0.349963 + 3741 2090: -0.382088 + 3742 440: 0.344760 + 3742 2091: -0.344760 + 3743 441: 0.384327 + 3743 2092: -0.384327 + 3744 442: 0.382088 + 3744 2093: -0.349963 + 455 2106: 1.00000 + 455 3757: -1.00000 + 2107 3758: 1.00000 + 459 2110: 0.449490 + 459 3761: -1.00000 + 460 2111: 0.449490 + 460 3762: -1.00000 + 3763 2112: 0.414214 + 3764 2113: 0.414214 + 2114 463: 0.449490 + 2114 3765: 1.00000 + 2115 464: 0.449490 + 2115 3766: 1.00000 + 3789 487: -0.382088 + 3789 2138: 0.349963 + 3790 488: -0.384327 + 3790 2139: 0.384327 + 3791 489: -0.344760 + 3791 2140: 0.344760 + 3792 490: -0.349963 + 3792 2141: 0.382088 + 503 2154: -1.00000 + 503 3805: 1.00000 + 505 2156: -0.449490 + 505 3807: 1.00000 + 506 2157: -0.449490 + 506 3808: 1.00000 + 2158 507: -0.449490 + 2158 3809: 1.00000 + 2159 508: -0.449490 + 2159 3810: 1.00000 + 3825 523: 0.384327 + 3825 2174: 0.384327 + 3826 524: 0.382088 + 3826 2175: 0.349963 + 3827 525: 0.349963 + 3827 2176: 0.382088 + 3828 526: 0.344760 + 3828 2177: 0.344760 + 637 2288: 1.00000 + 638 = 0 + 645 2296: 0.414214 + 646 2297: 0.414214 + 649 2300: 1.00000 + 649 3951: 0.449490 + 650 2301: 1.00000 + 650 3952: 0.449490 + 651 3953: 0.414214 + 652 3954: 0.414214 + 665 2316: 0.344760 + 665 3967: 0.344760 + 666 2317: 0.382088 + 666 3968: 0.349963 + 667 2318: 0.349963 + 667 3969: 0.382088 + 668 2319: 0.384327 + 668 3970: 0.384327 + 685 2336: -1.00000 + 689 2340: -0.414214 + 690 2341: -0.414214 + 693 2344: -1.00000 + 693 3995: 0.449490 + 694 2345: -1.00000 + 694 3996: 0.449490 + 701 2352: -0.349963 + 701 4003: 0.382088 + 702 2353: -0.384327 + 702 4004: 0.384327 + 703 2354: -0.344760 + 703 4005: 0.344760 + 704 2355: -0.382088 + 704 4006: 0.349963 + 763 2414: 1.00000 + 763 4065: -1.00000 + 764 4066: -1.00000 + 771 2422: 0.449490 + 771 4073: -1.00000 + 772 2423: 0.449490 + 772 4074: -1.00000 + 775 2426: 1.00000 + 775 4077: -0.449490 + 776 2427: 1.00000 + 776 4078: -0.449490 + 777 4079: -0.414214 + 778 4080: -0.414214 + 791 2442: 0.382088 + 791 4093: -0.349963 + 792 2443: 0.344760 + 792 4094: -0.344760 + 793 2444: 0.384327 + 793 4095: -0.384327 + 794 2445: 0.349963 + 794 4096: -0.382088 + 811 2462: -1.00000 + 811 4113: -1.00000 + 4117 815: -1.00000 + 4117 2466: -0.449490 + 816 2467: -0.449490 + 816 4118: -1.00000 + 819 2470: -1.00000 + 819 4121: -0.449490 + 820 2471: -1.00000 + 820 4122: -0.449490 + 827 2478: -0.384327 + 827 4129: -0.384327 + 828 2479: -0.349963 + 828 4130: -0.382088 + 829 2480: -0.382088 + 829 4131: -0.349963 + 830 2481: -0.344760 + 830 4132: -0.344760 + 889 2540: -1.00000 + 889 4191: 1.00000 + 2541 4192: 1.00000 + 893 4195: 1.00000 + 4196 = 0 + 2552 901: -0.449490 + 2552 4203: 1.00000 + 2553 902: -0.449490 + 2553 4204: 1.00000 + 4211 909: 0.414214 + 4212 910: 0.414214 + 913 2564: -0.449490 + 913 4215: 1.00000 + 914 2565: -0.449490 + 914 4216: 1.00000 + 4217 2566: 0.414214 + 4218 2567: 0.414214 + 4231 929: 0.344760 + 4231 2580: 0.344760 + 4232 930: 0.382088 + 4232 2581: 0.349963 + 4233 931: 0.349963 + 4233 2582: 0.382088 + 4234 932: 0.384327 + 4234 2583: 0.384327 + 4255 953: -0.449490 + 4255 2604: 1.00000 + 2605 954: 0.449490 + 2605 4256: 1.00000 + 4259 957: -0.414214 + 4260 958: -0.414214 + 4263 961: -0.349963 + 4263 2612: 0.382088 + 4264 962: -0.384327 + 4264 2613: 0.384327 + 4265 963: -0.344760 + 4265 2614: 0.344760 + 4266 964: -0.382088 + 4266 2615: 0.349963 + 1033 2684: 1.00000 + 1033 4335: 1.00000 + 2685 4336: -1.00000 + 2692 1041: 0.449490 + 2692 4343: 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2815: -0.384327 + 1164 4466: -0.384327 + 1213 2864: 1.00000 + 1215 2866: 0.414214 + 1216 2867: 0.414214 + 1221 2872: 1.00000 + 1221 4523: -0.449490 + 1222 2873: 1.00000 + 1222 4524: -0.449490 + 1225 2876: 0.349963 + 1225 4527: -0.382088 + 1226 2877: 0.344760 + 1226 4528: -0.344760 + 1227 2878: 0.384327 + 1227 4529: -0.384327 + 1228 2879: 0.382088 + 1228 4530: -0.349963 + 1267 2918: -1.00000 + 1267 4569: 0.449490 + 1268 2919: -1.00000 + 1268 4570: 0.449490 + 1271 4573: 0.414214 + 1272 4574: 0.414214 + 1275 2926: -0.382088 + 1275 4577: 0.349963 + 1276 2927: -0.384327 + 1276 4578: 0.384327 + 1277 2928: -0.344760 + 1277 4579: 0.344760 + 1278 2929: -0.349963 + 1278 4580: 0.382088 + 1315 2966: 1.00000 + 1315 4617: 0.449490 + 1316 2967: 1.00000 + 1316 4618: 0.449490 + 1319 2970: 0.384327 + 1319 4621: 0.384327 + 1320 2971: 0.382088 + 1320 4622: 0.349963 + 1321 2972: 0.349963 + 1321 4623: 0.382088 + 1322 2973: 0.344760 + 1322 4624: 0.344760 + 3002 = 0 + 3006 1355: -0.414214 + 3007 1356: -0.414214 + 3010 4661: -0.414214 + 3011 4662: -0.414214 + 3018 1367: -0.344760 + 3018 4669: -0.344760 + 3019 1368: -0.382088 + 3019 4670: -0.349963 + 3020 1369: -0.349963 + 3020 4671: -0.382088 + 3021 1370: -0.384327 + 3021 4672: -0.384327 + 3038 1387: 0.414214 + 3039 1388: 0.414214 + 3042 1391: 0.349963 + 3042 4693: -0.382088 + 3043 1392: 0.384327 + 3043 4694: -0.384327 + 3044 1393: 0.344760 + 3044 4695: -0.344760 + 3045 1394: 0.382088 + 3045 4696: -0.349963 + 3092 4743: 0.414214 + 3093 4744: 0.414214 + 3100 1449: -0.382088 + 3100 4751: 0.349963 + 3101 1450: -0.344760 + 3101 4752: 0.344760 + 3102 1451: -0.384327 + 3102 4753: 0.384327 + 3103 1452: -0.349963 + 3103 4754: 0.382088 + 3116 1465: 0.384327 + 3116 4767: 0.384327 + 3117 1466: 0.349963 + 3117 4768: 0.382088 + 3118 1467: 0.382088 + 3118 4769: 0.349963 + 3119 1468: 0.344760 + 3119 4770: 0.344760 + 3152 = 0 + 3154 1503: 0.414214 + 3155 1504: 0.414214 + 3160 4811: 0.414214 + 3161 4812: 0.414214 + 3164 1513: 0.344760 + 3164 4815: 0.344760 + 3165 1514: 0.349963 + 3165 4816: 0.382088 + 3166 1515: 0.382088 + 3166 4817: 0.349963 + 3167 1516: 0.384327 + 3167 4818: 0.384327 + 3206 1555: -0.414214 + 3207 1556: -0.414214 + 3210 1559: -0.349963 + 3210 4861: 0.382088 + 3211 1560: -0.344760 + 3211 4862: 0.344760 + 3212 1561: -0.384327 + 3212 4863: 0.384327 + 3213 1562: -0.382088 + 3213 4864: 0.349963 + 3242 4893: -0.414214 + 3243 4894: -0.414214 + 3246 1595: 0.382088 + 3246 4897: -0.349963 + 3247 1596: 0.384327 + 3247 4898: -0.384327 + 3248 1597: 0.344760 + 3248 4899: -0.344760 + 3249 1598: 0.349963 + 3249 4900: -0.382088 + 3278 1627: -0.384327 + 3278 4929: -0.384327 + 3279 1628: -0.382088 + 3279 4930: -0.349963 + 3280 1629: -0.349963 + 3280 4931: -0.382088 + 3281 1630: -0.344760 + 3281 4932: -0.344760 +DEAL::FE=FESystem<3>[FE_Q<3>(3)^3-FE_DGP<3>(4)], case=1 + 343 1994: -1.00000 + 343 3645: -1.00000 + 1995 3646: -1.00000 + 345 3647: -1.00000 + 3648 = 0 + 351 2002: -0.449490 + 351 3653: -1.00000 + 352 2003: -0.449490 + 352 3654: -1.00000 + 3655 2004: -0.414214 + 3656 2005: -0.414214 + 2006 355: -0.449490 + 2006 3657: -1.00000 + 2007 356: -0.449490 + 2007 3658: -1.00000 + 3659 357: -0.414214 + 3660 358: -0.414214 + 3693 391: -0.344760 + 3693 2042: -0.344760 + 3694 392: -0.349963 + 3694 2043: -0.382088 + 3695 393: -0.382088 + 3695 2044: -0.349963 + 3696 394: -0.384327 + 3696 2045: -0.384327 + 407 2058: 1.00000 + 407 3709: 1.00000 + 408 3710: 1.00000 + 411 2062: 0.449490 + 411 3713: 1.00000 + 412 2063: 0.449490 + 412 3714: 1.00000 + 2064 413: 0.449490 + 2064 3715: -1.00000 + 2065 414: 0.449490 + 2065 3716: -1.00000 + 3717 415: 0.414214 + 3718 416: 0.414214 + 3741 439: 0.349963 + 3741 2090: -0.382088 + 3742 440: 0.344760 + 3742 2091: -0.344760 + 3743 441: 0.384327 + 3743 2092: -0.384327 + 3744 442: 0.382088 + 3744 2093: -0.349963 + 455 2106: 1.00000 + 455 3757: -1.00000 + 2107 3758: 1.00000 + 459 2110: 0.449490 + 459 3761: -1.00000 + 460 2111: 0.449490 + 460 3762: -1.00000 + 3763 2112: 0.414214 + 3764 2113: 0.414214 + 2114 463: 0.449490 + 2114 3765: 1.00000 + 2115 464: 0.449490 + 2115 3766: 1.00000 + 3789 487: -0.382088 + 3789 2138: 0.349963 + 3790 488: -0.384327 + 3790 2139: 0.384327 + 3791 489: -0.344760 + 3791 2140: 0.344760 + 3792 490: -0.349963 + 3792 2141: 0.382088 + 503 2154: -1.00000 + 503 3805: 1.00000 + 505 2156: -0.449490 + 505 3807: 1.00000 + 506 2157: -0.449490 + 506 3808: 1.00000 + 2158 507: -0.449490 + 2158 3809: 1.00000 + 2159 508: -0.449490 + 2159 3810: 1.00000 + 3825 523: 0.384327 + 3825 2174: 0.384327 + 3826 524: 0.382088 + 3826 2175: 0.349963 + 3827 525: 0.349963 + 3827 2176: 0.382088 + 3828 526: 0.344760 + 3828 2177: 0.344760 + 637 2288: 1.00000 + 638 = 0 + 645 2296: 0.414214 + 646 2297: 0.414214 + 649 2300: 1.00000 + 649 3951: 0.449490 + 650 2301: 1.00000 + 650 3952: 0.449490 + 651 3953: 0.414214 + 652 3954: 0.414214 + 665 2316: 0.344760 + 665 3967: 0.344760 + 666 2317: 0.382088 + 666 3968: 0.349963 + 667 2318: 0.349963 + 667 3969: 0.382088 + 668 2319: 0.384327 + 668 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827 2478: -0.384327 + 827 4129: -0.384327 + 828 2479: -0.349963 + 828 4130: -0.382088 + 829 2480: -0.382088 + 829 4131: -0.349963 + 830 2481: -0.344760 + 830 4132: -0.344760 + 889 2540: -1.00000 + 889 4191: 1.00000 + 2541 4192: 1.00000 + 893 4195: 1.00000 + 4196 = 0 + 2552 901: -0.449490 + 2552 4203: 1.00000 + 2553 902: -0.449490 + 2553 4204: 1.00000 + 4211 909: 0.414214 + 4212 910: 0.414214 + 913 2564: -0.449490 + 913 4215: 1.00000 + 914 2565: -0.449490 + 914 4216: 1.00000 + 4217 2566: 0.414214 + 4218 2567: 0.414214 + 4231 929: 0.344760 + 4231 2580: 0.344760 + 4232 930: 0.382088 + 4232 2581: 0.349963 + 4233 931: 0.349963 + 4233 2582: 0.382088 + 4234 932: 0.384327 + 4234 2583: 0.384327 + 4255 953: -0.449490 + 4255 2604: 1.00000 + 2605 954: 0.449490 + 2605 4256: 1.00000 + 4259 957: -0.414214 + 4260 958: -0.414214 + 4263 961: -0.349963 + 4263 2612: 0.382088 + 4264 962: -0.384327 + 4264 2613: 0.384327 + 4265 963: -0.344760 + 4265 2614: 0.344760 + 4266 964: -0.382088 + 4266 2615: 0.349963 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0.414214 + 3160 4811: 0.414214 + 3161 4812: 0.414214 + 3164 1513: 0.344760 + 3164 4815: 0.344760 + 3165 1514: 0.349963 + 3165 4816: 0.382088 + 3166 1515: 0.382088 + 3166 4817: 0.349963 + 3167 1516: 0.384327 + 3167 4818: 0.384327 + 3206 1555: -0.414214 + 3207 1556: -0.414214 + 3210 1559: -0.349963 + 3210 4861: 0.382088 + 3211 1560: -0.344760 + 3211 4862: 0.344760 + 3212 1561: -0.384327 + 3212 4863: 0.384327 + 3213 1562: -0.382088 + 3213 4864: 0.349963 + 3242 4893: -0.414214 + 3243 4894: -0.414214 + 3246 1595: 0.382088 + 3246 4897: -0.349963 + 3247 1596: 0.384327 + 3247 4898: -0.384327 + 3248 1597: 0.344760 + 3248 4899: -0.344760 + 3249 1598: 0.349963 + 3249 4900: -0.382088 + 3278 1627: -0.384327 + 3278 4929: -0.384327 + 3279 1628: -0.382088 + 3279 4930: -0.349963 + 3280 1629: -0.349963 + 3280 4931: -0.382088 + 3281 1630: -0.344760 + 3281 4932: -0.344760 +DEAL::FE=FESystem<3>[FE_Q<3>(3)^3-FE_DGP<3>(4)], case=2 + 343 1994: -1.00000 + 343 3645: -1.00000 + 1995 3646: -1.00000 + 345 3647: -1.00000 + 3648 = 0 + 351 2002: -0.449490 + 351 3653: -1.00000 + 352 2003: -0.449490 + 352 3654: -1.00000 + 3655 2004: -0.414214 + 3656 2005: -0.414214 + 2006 355: -0.449490 + 2006 3657: -1.00000 + 2007 356: -0.449490 + 2007 3658: -1.00000 + 3659 357: -0.414214 + 3660 358: -0.414214 + 3693 391: -0.344760 + 3693 2042: -0.344760 + 3694 392: -0.349963 + 3694 2043: -0.382088 + 3695 393: -0.382088 + 3695 2044: -0.349963 + 3696 394: -0.384327 + 3696 2045: -0.384327 + 407 2058: 1.00000 + 407 3709: 1.00000 + 408 3710: 1.00000 + 411 2062: 0.449490 + 411 3713: 1.00000 + 412 2063: 0.449490 + 412 3714: 1.00000 + 2064 413: 0.449490 + 2064 3715: -1.00000 + 2065 414: 0.449490 + 2065 3716: -1.00000 + 3717 415: 0.414214 + 3718 416: 0.414214 + 3741 439: 0.349963 + 3741 2090: -0.382088 + 3742 440: 0.344760 + 3742 2091: -0.344760 + 3743 441: 0.384327 + 3743 2092: -0.384327 + 3744 442: 0.382088 + 3744 2093: -0.349963 + 455 2106: 1.00000 + 455 3757: -1.00000 + 2107 3758: 1.00000 + 459 2110: 0.449490 + 459 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4769: 0.349963 + 3119 1468: 0.344760 + 3119 4770: 0.344760 + 3152 = 0 + 3154 1503: 0.414214 + 3155 1504: 0.414214 + 3160 4811: 0.414214 + 3161 4812: 0.414214 + 3164 1513: 0.344760 + 3164 4815: 0.344760 + 3165 1514: 0.349963 + 3165 4816: 0.382088 + 3166 1515: 0.382088 + 3166 4817: 0.349963 + 3167 1516: 0.384327 + 3167 4818: 0.384327 + 3206 1555: -0.414214 + 3207 1556: -0.414214 + 3210 1559: -0.349963 + 3210 4861: 0.382088 + 3211 1560: -0.344760 + 3211 4862: 0.344760 + 3212 1561: -0.384327 + 3212 4863: 0.384327 + 3213 1562: -0.382088 + 3213 4864: 0.349963 + 3242 4893: -0.414214 + 3243 4894: -0.414214 + 3246 1595: 0.382088 + 3246 4897: -0.349963 + 3247 1596: 0.384327 + 3247 4898: -0.384327 + 3248 1597: 0.344760 + 3248 4899: -0.344760 + 3249 1598: 0.349963 + 3249 4900: -0.382088 + 3278 1627: -0.384327 + 3278 4929: -0.384327 + 3279 1628: -0.382088 + 3279 4930: -0.349963 + 3280 1629: -0.349963 + 3280 4931: -0.382088 + 3281 1630: -0.344760 + 3281 4932: -0.344760 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0.344760 + 792 4094: -0.344760 + 793 2444: 0.384327 + 793 4095: -0.384327 + 794 2445: 0.349963 + 794 4096: -0.382088 + 811 2462: -1.00000 + 811 4113: -1.00000 + 4117 815: -1.00000 + 4117 2466: -0.449490 + 816 2467: -0.449490 + 816 4118: -1.00000 + 819 2470: -1.00000 + 819 4121: -0.449490 + 820 2471: -1.00000 + 820 4122: -0.449490 + 827 2478: -0.384327 + 827 4129: -0.384327 + 828 2479: -0.349963 + 828 4130: -0.382088 + 829 2480: -0.382088 + 829 4131: -0.349963 + 830 2481: -0.344760 + 830 4132: -0.344760 + 889 2540: -1.00000 + 889 4191: 1.00000 + 2541 4192: 1.00000 + 893 4195: 1.00000 + 4196 = 0 + 2552 901: -0.449490 + 2552 4203: 1.00000 + 2553 902: -0.449490 + 2553 4204: 1.00000 + 4211 909: 0.414214 + 4212 910: 0.414214 + 913 2564: -0.449490 + 913 4215: 1.00000 + 914 2565: -0.449490 + 914 4216: 1.00000 + 4217 2566: 0.414214 + 4218 2567: 0.414214 + 4231 929: 0.344760 + 4231 2580: 0.344760 + 4232 930: 0.382088 + 4232 2581: 0.349963 + 4233 931: 0.349963 + 4233 2582: 0.382088 + 4234 932: 0.384327 + 4234 2583: 0.384327 + 4255 953: -0.449490 + 4255 2604: 1.00000 + 2605 954: 0.449490 + 2605 4256: 1.00000 + 4259 957: -0.414214 + 4260 958: -0.414214 + 4263 961: -0.349963 + 4263 2612: 0.382088 + 4264 962: -0.384327 + 4264 2613: 0.384327 + 4265 963: -0.344760 + 4265 2614: 0.344760 + 4266 964: -0.382088 + 4266 2615: 0.349963 + 1033 2684: 1.00000 + 1033 4335: 1.00000 + 2685 4336: -1.00000 + 2692 1041: 0.449490 + 2692 4343: -1.00000 + 2693 1042: 0.449490 + 2693 4344: -1.00000 + 4347 1045: 1.00000 + 4347 2696: -0.449490 + 1046 2697: 0.449490 + 1046 4348: 1.00000 + 4349 2698: -0.414214 + 4350 2699: -0.414214 + 4363 1061: 0.382088 + 4363 2712: -0.349963 + 4364 1062: 0.344760 + 4364 2713: -0.344760 + 4365 1063: 0.384327 + 4365 2714: -0.384327 + 4366 1064: 0.349963 + 4366 2715: -0.382088 + 2732 1081: -0.449490 + 2732 4383: -1.00000 + 2733 1082: -0.449490 + 2733 4384: -1.00000 + 4387 1085: -0.384327 + 4387 2736: -0.384327 + 4388 1086: -0.349963 + 4388 2737: -0.382088 + 4389 1087: -0.382088 + 4389 2738: -0.349963 + 4390 1088: -0.344760 + 4390 2739: -0.344760 + 1141 2792: -1.00000 + 1143 = 0 + 1145 2796: -0.414214 + 1146 2797: -0.414214 + 1153 2804: -1.00000 + 1153 4455: -0.449490 + 1154 2805: -1.00000 + 1154 4456: -0.449490 + 1157 4459: -0.414214 + 1158 4460: -0.414214 + 1161 2812: -0.344760 + 1161 4463: -0.344760 + 1162 2813: -0.349963 + 1162 4464: -0.382088 + 1163 2814: -0.382088 + 1163 4465: -0.349963 + 1164 2815: -0.384327 + 1164 4466: -0.384327 + 1213 2864: 1.00000 + 1215 2866: 0.414214 + 1216 2867: 0.414214 + 1221 2872: 1.00000 + 1221 4523: -0.449490 + 1222 2873: 1.00000 + 1222 4524: -0.449490 + 1225 2876: 0.349963 + 1225 4527: -0.382088 + 1226 2877: 0.344760 + 1226 4528: -0.344760 + 1227 2878: 0.384327 + 1227 4529: -0.384327 + 1228 2879: 0.382088 + 1228 4530: -0.349963 + 1267 2918: -1.00000 + 1267 4569: 0.449490 + 1268 2919: -1.00000 + 1268 4570: 0.449490 + 1271 4573: 0.414214 + 1272 4574: 0.414214 + 1275 2926: -0.382088 + 1275 4577: 0.349963 + 1276 2927: -0.384327 + 1276 4578: 0.384327 + 1277 2928: -0.344760 + 1277 4579: 0.344760 + 1278 2929: -0.349963 + 1278 4580: 0.382088 + 1315 2966: 1.00000 + 1315 4617: 0.449490 + 1316 2967: 1.00000 + 1316 4618: 0.449490 + 1319 2970: 0.384327 + 1319 4621: 0.384327 + 1320 2971: 0.382088 + 1320 4622: 0.349963 + 1321 2972: 0.349963 + 1321 4623: 0.382088 + 1322 2973: 0.344760 + 1322 4624: 0.344760 + 3002 = 0 + 3006 1355: -0.414214 + 3007 1356: -0.414214 + 3010 4661: -0.414214 + 3011 4662: -0.414214 + 3018 1367: -0.344760 + 3018 4669: -0.344760 + 3019 1368: -0.382088 + 3019 4670: -0.349963 + 3020 1369: -0.349963 + 3020 4671: -0.382088 + 3021 1370: -0.384327 + 3021 4672: -0.384327 + 3038 1387: 0.414214 + 3039 1388: 0.414214 + 3042 1391: 0.349963 + 3042 4693: -0.382088 + 3043 1392: 0.384327 + 3043 4694: -0.384327 + 3044 1393: 0.344760 + 3044 4695: -0.344760 + 3045 1394: 0.382088 + 3045 4696: -0.349963 + 3092 4743: 0.414214 + 3093 4744: 0.414214 + 3100 1449: -0.382088 + 3100 4751: 0.349963 + 3101 1450: -0.344760 + 3101 4752: 0.344760 + 3102 1451: -0.384327 + 3102 4753: 0.384327 + 3103 1452: -0.349963 + 3103 4754: 0.382088 + 3116 1465: 0.384327 + 3116 4767: 0.384327 + 3117 1466: 0.349963 + 3117 4768: 0.382088 + 3118 1467: 0.382088 + 3118 4769: 0.349963 + 3119 1468: 0.344760 + 3119 4770: 0.344760 + 3152 = 0 + 3154 1503: 0.414214 + 3155 1504: 0.414214 + 3160 4811: 0.414214 + 3161 4812: 0.414214 + 3164 1513: 0.344760 + 3164 4815: 0.344760 + 3165 1514: 0.349963 + 3165 4816: 0.382088 + 3166 1515: 0.382088 + 3166 4817: 0.349963 + 3167 1516: 0.384327 + 3167 4818: 0.384327 + 3206 1555: -0.414214 + 3207 1556: -0.414214 + 3210 1559: -0.349963 + 3210 4861: 0.382088 + 3211 1560: -0.344760 + 3211 4862: 0.344760 + 3212 1561: -0.384327 + 3212 4863: 0.384327 + 3213 1562: -0.382088 + 3213 4864: 0.349963 + 3242 4893: -0.414214 + 3243 4894: -0.414214 + 3246 1595: 0.382088 + 3246 4897: -0.349963 + 3247 1596: 0.384327 + 3247 4898: -0.384327 + 3248 1597: 0.344760 + 3248 4899: -0.344760 + 3249 1598: 0.349963 + 3249 4900: -0.382088 + 3278 1627: -0.384327 + 3278 4929: -0.384327 + 3279 1628: -0.382088 + 3279 4930: -0.349963 + 3280 1629: -0.349963 + 3280 4931: -0.382088 + 3281 1630: -0.344760 + 3281 4932: -0.344760 +DEAL::FE=FESystem<3>[FE_Q<3>(3)^3-FE_DGP<3>(4)], case=5 + 343 1994: -1.00000 + 343 3645: -1.00000 + 1995 3646: -1.00000 + 345 3647: -1.00000 + 3648 = 0 + 351 2002: -0.449490 + 351 3653: -1.00000 + 352 2003: -0.449490 + 352 3654: -1.00000 + 3655 2004: -0.414214 + 3656 2005: -0.414214 + 2006 355: -0.449490 + 2006 3657: -1.00000 + 2007 356: -0.449490 + 2007 3658: -1.00000 + 3659 357: -0.414214 + 3660 358: -0.414214 + 3693 391: -0.344760 + 3693 2042: -0.344760 + 3694 392: -0.349963 + 3694 2043: -0.382088 + 3695 393: -0.382088 + 3695 2044: -0.349963 + 3696 394: -0.384327 + 3696 2045: -0.384327 + 407 2058: 1.00000 + 407 3709: 1.00000 + 408 3710: 1.00000 + 411 2062: 0.449490 + 411 3713: 1.00000 + 412 2063: 0.449490 + 412 3714: 1.00000 + 2064 413: 0.449490 + 2064 3715: -1.00000 + 2065 414: 0.449490 + 2065 3716: -1.00000 + 3717 415: 0.414214 + 3718 416: 0.414214 + 3741 439: 0.349963 + 3741 2090: -0.382088 + 3742 440: 0.344760 + 3742 2091: -0.344760 + 3743 441: 0.384327 + 3743 2092: -0.384327 + 3744 442: 0.382088 + 3744 2093: -0.349963 + 455 2106: 1.00000 + 455 3757: -1.00000 + 2107 3758: 1.00000 + 459 2110: 0.449490 + 459 3761: -1.00000 + 460 2111: 0.449490 + 460 3762: -1.00000 + 3763 2112: 0.414214 + 3764 2113: 0.414214 + 2114 463: 0.449490 + 2114 3765: 1.00000 + 2115 464: 0.449490 + 2115 3766: 1.00000 + 3789 487: -0.382088 + 3789 2138: 0.349963 + 3790 488: -0.384327 + 3790 2139: 0.384327 + 3791 489: -0.344760 + 3791 2140: 0.344760 + 3792 490: -0.349963 + 3792 2141: 0.382088 + 503 2154: -1.00000 + 503 3805: 1.00000 + 505 2156: -0.449490 + 505 3807: 1.00000 + 506 2157: -0.449490 + 506 3808: 1.00000 + 2158 507: -0.449490 + 2158 3809: 1.00000 + 2159 508: -0.449490 + 2159 3810: 1.00000 + 3825 523: 0.384327 + 3825 2174: 0.384327 + 3826 524: 0.382088 + 3826 2175: 0.349963 + 3827 525: 0.349963 + 3827 2176: 0.382088 + 3828 526: 0.344760 + 3828 2177: 0.344760 + 637 2288: 1.00000 + 638 = 0 + 645 2296: 0.414214 + 646 2297: 0.414214 + 649 2300: 1.00000 + 649 3951: 0.449490 + 650 2301: 1.00000 + 650 3952: 0.449490 + 651 3953: 0.414214 + 652 3954: 0.414214 + 665 2316: 0.344760 + 665 3967: 0.344760 + 666 2317: 0.382088 + 666 3968: 0.349963 + 667 2318: 0.349963 + 667 3969: 0.382088 + 668 2319: 0.384327 + 668 3970: 0.384327 + 685 2336: -1.00000 + 689 2340: -0.414214 + 690 2341: -0.414214 + 693 2344: -1.00000 + 693 3995: 0.449490 + 694 2345: -1.00000 + 694 3996: 0.449490 + 701 2352: -0.349963 + 701 4003: 0.382088 + 702 2353: -0.384327 + 702 4004: 0.384327 + 703 2354: -0.344760 + 703 4005: 0.344760 + 704 2355: -0.382088 + 704 4006: 0.349963 + 763 2414: 1.00000 + 763 4065: -1.00000 + 764 4066: -1.00000 + 771 2422: 0.449490 + 771 4073: -1.00000 + 772 2423: 0.449490 + 772 4074: -1.00000 + 775 2426: 1.00000 + 775 4077: -0.449490 + 776 2427: 1.00000 + 776 4078: -0.449490 + 777 4079: -0.414214 + 778 4080: -0.414214 + 791 2442: 0.382088 + 791 4093: -0.349963 + 792 2443: 0.344760 + 792 4094: -0.344760 + 793 2444: 0.384327 + 793 4095: -0.384327 + 794 2445: 0.349963 + 794 4096: -0.382088 + 811 2462: -1.00000 + 811 4113: -1.00000 + 4117 815: -1.00000 + 4117 2466: -0.449490 + 816 2467: -0.449490 + 816 4118: -1.00000 + 819 2470: -1.00000 + 819 4121: -0.449490 + 820 2471: -1.00000 + 820 4122: -0.449490 + 827 2478: -0.384327 + 827 4129: -0.384327 + 828 2479: -0.349963 + 828 4130: -0.382088 + 829 2480: -0.382088 + 829 4131: -0.349963 + 830 2481: -0.344760 + 830 4132: -0.344760 + 889 2540: -1.00000 + 889 4191: 1.00000 + 2541 4192: 1.00000 + 893 4195: 1.00000 + 4196 = 0 + 2552 901: -0.449490 + 2552 4203: 1.00000 + 2553 902: -0.449490 + 2553 4204: 1.00000 + 4211 909: 0.414214 + 4212 910: 0.414214 + 913 2564: -0.449490 + 913 4215: 1.00000 + 914 2565: -0.449490 + 914 4216: 1.00000 + 4217 2566: 0.414214 + 4218 2567: 0.414214 + 4231 929: 0.344760 + 4231 2580: 0.344760 + 4232 930: 0.382088 + 4232 2581: 0.349963 + 4233 931: 0.349963 + 4233 2582: 0.382088 + 4234 932: 0.384327 + 4234 2583: 0.384327 + 4255 953: -0.449490 + 4255 2604: 1.00000 + 2605 954: 0.449490 + 2605 4256: 1.00000 + 4259 957: -0.414214 + 4260 958: -0.414214 + 4263 961: -0.349963 + 4263 2612: 0.382088 + 4264 962: -0.384327 + 4264 2613: 0.384327 + 4265 963: -0.344760 + 4265 2614: 0.344760 + 4266 964: -0.382088 + 4266 2615: 0.349963 + 1033 2684: 1.00000 + 1033 4335: 1.00000 + 2685 4336: -1.00000 + 2692 1041: 0.449490 + 2692 4343: -1.00000 + 2693 1042: 0.449490 + 2693 4344: -1.00000 + 4347 1045: 1.00000 + 4347 2696: -0.449490 + 1046 2697: 0.449490 + 1046 4348: 1.00000 + 4349 2698: -0.414214 + 4350 2699: -0.414214 + 4363 1061: 0.382088 + 4363 2712: -0.349963 + 4364 1062: 0.344760 + 4364 2713: -0.344760 + 4365 1063: 0.384327 + 4365 2714: -0.384327 + 4366 1064: 0.349963 + 4366 2715: -0.382088 + 2732 1081: -0.449490 + 2732 4383: -1.00000 + 2733 1082: -0.449490 + 2733 4384: -1.00000 + 4387 1085: -0.384327 + 4387 2736: -0.384327 + 4388 1086: -0.349963 + 4388 2737: -0.382088 + 4389 1087: -0.382088 + 4389 2738: -0.349963 + 4390 1088: -0.344760 + 4390 2739: -0.344760 + 1141 2792: -1.00000 + 1143 = 0 + 1145 2796: -0.414214 + 1146 2797: -0.414214 + 1153 2804: -1.00000 + 1153 4455: -0.449490 + 1154 2805: -1.00000 + 1154 4456: -0.449490 + 1157 4459: -0.414214 + 1158 4460: -0.414214 + 1161 2812: -0.344760 + 1161 4463: -0.344760 + 1162 2813: -0.349963 + 1162 4464: -0.382088 + 1163 2814: -0.382088 + 1163 4465: -0.349963 + 1164 2815: -0.384327 + 1164 4466: -0.384327 + 1213 2864: 1.00000 + 1215 2866: 0.414214 + 1216 2867: 0.414214 + 1221 2872: 1.00000 + 1221 4523: -0.449490 + 1222 2873: 1.00000 + 1222 4524: -0.449490 + 1225 2876: 0.349963 + 1225 4527: -0.382088 + 1226 2877: 0.344760 + 1226 4528: -0.344760 + 1227 2878: 0.384327 + 1227 4529: -0.384327 + 1228 2879: 0.382088 + 1228 4530: -0.349963 + 1267 2918: -1.00000 + 1267 4569: 0.449490 + 1268 2919: -1.00000 + 1268 4570: 0.449490 + 1271 4573: 0.414214 + 1272 4574: 0.414214 + 1275 2926: -0.382088 + 1275 4577: 0.349963 + 1276 2927: -0.384327 + 1276 4578: 0.384327 + 1277 2928: -0.344760 + 1277 4579: 0.344760 + 1278 2929: -0.349963 + 1278 4580: 0.382088 + 1315 2966: 1.00000 + 1315 4617: 0.449490 + 1316 2967: 1.00000 + 1316 4618: 0.449490 + 1319 2970: 0.384327 + 1319 4621: 0.384327 + 1320 2971: 0.382088 + 1320 4622: 0.349963 + 1321 2972: 0.349963 + 1321 4623: 0.382088 + 1322 2973: 0.344760 + 1322 4624: 0.344760 + 3002 = 0 + 3006 1355: -0.414214 + 3007 1356: -0.414214 + 3010 4661: -0.414214 + 3011 4662: -0.414214 + 3018 1367: -0.344760 + 3018 4669: -0.344760 + 3019 1368: -0.382088 + 3019 4670: -0.349963 + 3020 1369: -0.349963 + 3020 4671: -0.382088 + 3021 1370: -0.384327 + 3021 4672: -0.384327 + 3038 1387: 0.414214 + 3039 1388: 0.414214 + 3042 1391: 0.349963 + 3042 4693: -0.382088 + 3043 1392: 0.384327 + 3043 4694: -0.384327 + 3044 1393: 0.344760 + 3044 4695: -0.344760 + 3045 1394: 0.382088 + 3045 4696: -0.349963 + 3092 4743: 0.414214 + 3093 4744: 0.414214 + 3100 1449: -0.382088 + 3100 4751: 0.349963 + 3101 1450: -0.344760 + 3101 4752: 0.344760 + 3102 1451: -0.384327 + 3102 4753: 0.384327 + 3103 1452: -0.349963 + 3103 4754: 0.382088 + 3116 1465: 0.384327 + 3116 4767: 0.384327 + 3117 1466: 0.349963 + 3117 4768: 0.382088 + 3118 1467: 0.382088 + 3118 4769: 0.349963 + 3119 1468: 0.344760 + 3119 4770: 0.344760 + 3152 = 0 + 3154 1503: 0.414214 + 3155 1504: 0.414214 + 3160 4811: 0.414214 + 3161 4812: 0.414214 + 3164 1513: 0.344760 + 3164 4815: 0.344760 + 3165 1514: 0.349963 + 3165 4816: 0.382088 + 3166 1515: 0.382088 + 3166 4817: 0.349963 + 3167 1516: 0.384327 + 3167 4818: 0.384327 + 3206 1555: -0.414214 + 3207 1556: -0.414214 + 3210 1559: -0.349963 + 3210 4861: 0.382088 + 3211 1560: -0.344760 + 3211 4862: 0.344760 + 3212 1561: -0.384327 + 3212 4863: 0.384327 + 3213 1562: -0.382088 + 3213 4864: 0.349963 + 3242 4893: -0.414214 + 3243 4894: -0.414214 + 3246 1595: 0.382088 + 3246 4897: -0.349963 + 3247 1596: 0.384327 + 3247 4898: -0.384327 + 3248 1597: 0.344760 + 3248 4899: -0.344760 + 3249 1598: 0.349963 + 3249 4900: -0.382088 + 3278 1627: -0.384327 + 3278 4929: -0.384327 + 3279 1628: -0.382088 + 3279 4930: -0.349963 + 3280 1629: -0.349963 + 3280 4931: -0.382088 + 3281 1630: -0.344760 + 3281 4932: -0.344760