Reference documentation for deal.II version 9.3.3
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assembler.h
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4//
5// This file is part of the deal.II library.
6//
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8// it, and/or modify it under the terms of the GNU Lesser General
9// Public License as published by the Free Software Foundation; either
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11// The full text of the license can be found in the file LICENSE.md at
12// the top level directory of deal.II.
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15
16
17#ifndef dealii_mesh_worker_assembler_h
18#define dealii_mesh_worker_assembler_h
19
20#include <deal.II/base/config.h>
21
22#include <deal.II/algorithms/any_data.h>
23
24#include <deal.II/base/mg_level_object.h>
25#include <deal.II/base/smartpointer.h>
26
27#include <deal.II/lac/block_vector.h>
28
29#include <deal.II/meshworker/dof_info.h>
30#include <deal.II/meshworker/functional.h>
31#include <deal.II/meshworker/simple.h>
32
33#include <deal.II/multigrid/mg_constrained_dofs.h>
34
35
36DEAL_II_NAMESPACE_OPEN
37
38namespace MeshWorker
39{
88 namespace Assembler
89 {
110 template <typename VectorType>
111 class ResidualLocalBlocksToGlobalBlocks
112 {
113 public:
117 void
118 initialize(const BlockInfo *block_info, AnyData &residuals);
119
123 void
124 initialize(
125 const AffineConstraints<typename VectorType::value_type> &constraints);
126
134 template <class DOFINFO>
135 void
136 initialize_info(DOFINFO &info, bool face) const;
137
138
142 template <class DOFINFO>
143 void
144 assemble(const DOFINFO &info);
145
149 template <class DOFINFO>
150 void
151 assemble(const DOFINFO &info1, const DOFINFO &info2);
152
153 private:
157 void
158 assemble(VectorType & global,
159 const BlockVector<double> & local,
160 const std::vector<types::global_dof_index> &dof);
161
165 AnyData residuals;
166
170 SmartPointer<const BlockInfo,
171 ResidualLocalBlocksToGlobalBlocks<VectorType>>
172 block_info;
173
177 SmartPointer<const AffineConstraints<typename VectorType::value_type>,
178 ResidualLocalBlocksToGlobalBlocks<VectorType>>
179 constraints;
180 };
181
182
209 template <typename MatrixType, typename number = double>
210 class MatrixLocalBlocksToGlobalBlocks
211 {
212 public:
217 MatrixLocalBlocksToGlobalBlocks(double threshold = 1.e-12);
218
223 void
224 initialize(const BlockInfo * block_info,
225 MatrixBlockVector<MatrixType> &matrices);
226
230 void
231 initialize(
232 const AffineConstraints<typename MatrixType::value_type> &constraints);
233
241 template <class DOFINFO>
242 void
243 initialize_info(DOFINFO &info, bool face) const;
244
245
249 template <class DOFINFO>
250 void
251 assemble(const DOFINFO &info);
252
256 template <class DOFINFO>
257 void
258 assemble(const DOFINFO &info1, const DOFINFO &info2);
259
260 private:
264 void
265 assemble(MatrixBlock<MatrixType> & global,
266 const FullMatrix<number> & local,
267 const unsigned int block_row,
268 const unsigned int block_col,
269 const std::vector<types::global_dof_index> &dof1,
270 const std::vector<types::global_dof_index> &dof2);
271
275 SmartPointer<MatrixBlockVector<MatrixType>,
276 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>>
277 matrices;
278
282 SmartPointer<const BlockInfo,
283 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>>
284 block_info;
289 SmartPointer<const AffineConstraints<typename MatrixType::value_type>,
290 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>>
291 constraints;
292
298 const double threshold;
299 };
300
324 template <typename MatrixType, typename number = double>
325 class MGMatrixLocalBlocksToGlobalBlocks
326 {
327 public:
328 using MatrixPtrVector = MGMatrixBlockVector<MatrixType>;
329 using MatrixPtrVectorPtr =
330 SmartPointer<MatrixPtrVector,
331 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>>;
332
337 MGMatrixLocalBlocksToGlobalBlocks(double threshold = 1.e-12);
338
343 void
344 initialize(const BlockInfo *block_info, MatrixPtrVector &matrices);
345
349 void
350 initialize(const MGConstrainedDoFs &mg_constrained_dofs);
351
357 void
358 initialize_edge_flux(MatrixPtrVector &up, MatrixPtrVector &down);
359
365 void
366 initialize_interfaces(MatrixPtrVector &interface_in,
367 MatrixPtrVector &interface_out);
375 template <class DOFINFO>
376 void
377 initialize_info(DOFINFO &info, bool face) const;
378
379
383 template <class DOFINFO>
384 void
385 assemble(const DOFINFO &info);
386
390 template <class DOFINFO>
391 void
392 assemble(const DOFINFO &info1, const DOFINFO &info2);
393
394 private:
398 void
399 assemble(MatrixType & global,
400 const FullMatrix<number> & local,
401 const unsigned int block_row,
402 const unsigned int block_col,
403 const std::vector<types::global_dof_index> &dof1,
404 const std::vector<types::global_dof_index> &dof2,
405 const unsigned int level1,
406 const unsigned int level2,
407 bool transpose = false);
408
412 void
413 assemble_fluxes(MatrixType & global,
414 const FullMatrix<number> & local,
415 const unsigned int block_row,
416 const unsigned int block_col,
417 const std::vector<types::global_dof_index> &dof1,
418 const std::vector<types::global_dof_index> &dof2,
419 const unsigned int level1,
420 const unsigned int level2);
421
425 void
426 assemble_up(MatrixType & global,
427 const FullMatrix<number> & local,
428 const unsigned int block_row,
429 const unsigned int block_col,
430 const std::vector<types::global_dof_index> &dof1,
431 const std::vector<types::global_dof_index> &dof2,
432 const unsigned int level1,
433 const unsigned int level2);
434
438 void
439 assemble_down(MatrixType & global,
440 const FullMatrix<number> & local,
441 const unsigned int block_row,
442 const unsigned int block_col,
443 const std::vector<types::global_dof_index> &dof1,
444 const std::vector<types::global_dof_index> &dof2,
445 const unsigned int level1,
446 const unsigned int level2);
447
451 void
452 assemble_in(MatrixType & global,
453 const FullMatrix<number> & local,
454 const unsigned int block_row,
455 const unsigned int block_col,
456 const std::vector<types::global_dof_index> &dof1,
457 const std::vector<types::global_dof_index> &dof2,
458 const unsigned int level1,
459 const unsigned int level2);
460
464 void
465 assemble_out(MatrixType & global,
466 const FullMatrix<number> & local,
467 const unsigned int block_row,
468 const unsigned int block_col,
469 const std::vector<types::global_dof_index> &dof1,
470 const std::vector<types::global_dof_index> &dof2,
471 const unsigned int level1,
472 const unsigned int level2);
473
477 MatrixPtrVectorPtr matrices;
478
483 MatrixPtrVectorPtr flux_down;
484
489 MatrixPtrVectorPtr flux_up;
490
495 MatrixPtrVectorPtr interface_out;
496
501 MatrixPtrVectorPtr interface_in;
502
506 SmartPointer<const BlockInfo,
507 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>>
508 block_info;
509
513 SmartPointer<const MGConstrainedDoFs,
514 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>>
515 mg_constrained_dofs;
516
517
523 const double threshold;
524 };
525
526 //----------------------------------------------------------------------//
527
528 template <typename VectorType>
529 inline void
530 ResidualLocalBlocksToGlobalBlocks<VectorType>::initialize(
531 const BlockInfo *b,
532 AnyData & m)
533 {
534 block_info = b;
535 residuals = m;
536 }
537
538 template <typename VectorType>
539 inline void
540 ResidualLocalBlocksToGlobalBlocks<VectorType>::initialize(
541 const AffineConstraints<typename VectorType::value_type> &c)
542 {
543 constraints = &c;
544 }
545
546
547 template <typename VectorType>
548 template <class DOFINFO>
549 inline void
550 ResidualLocalBlocksToGlobalBlocks<VectorType>::initialize_info(
551 DOFINFO &info,
552 bool) const
553 {
554 info.initialize_vectors(residuals.size());
555 }
556
557 template <typename VectorType>
558 inline void
559 ResidualLocalBlocksToGlobalBlocks<VectorType>::assemble(
560 VectorType & global,
561 const BlockVector<double> & local,
562 const std::vector<types::global_dof_index> &dof)
563 {
564 if (constraints == 0)
565 {
566 for (unsigned int b = 0; b < local.n_blocks(); ++b)
567 for (unsigned int j = 0; j < local.block(b).size(); ++j)
568 {
569 // The coordinates of
570 // the current entry in
571 // DoFHandler
572 // numbering, which
573 // differs from the
574 // block-wise local
575 // numbering we use in
576 // our local vectors
577 const unsigned int jcell =
578 this->block_info->local().local_to_global(b, j);
579 global(dof[jcell]) += local.block(b)(j);
580 }
581 }
582 else
583 constraints->distribute_local_to_global(local, dof, global);
584 }
585
586
587 template <typename VectorType>
588 template <class DOFINFO>
589 inline void
590 ResidualLocalBlocksToGlobalBlocks<VectorType>::assemble(const DOFINFO &info)
591 {
592 for (unsigned int i = 0; i < residuals.size(); ++i)
593 assemble(*(residuals.entry<VectorType>(i)),
594 info.vector(i),
595 info.indices);
596 }
597
598
599 template <typename VectorType>
600 template <class DOFINFO>
601 inline void
602 ResidualLocalBlocksToGlobalBlocks<VectorType>::assemble(
603 const DOFINFO &info1,
604 const DOFINFO &info2)
605 {
606 for (unsigned int i = 0; i < residuals.size(); ++i)
607 {
608 assemble(*(residuals.entry<VectorType>(i)),
609 info1.vector(i),
610 info1.indices);
611 assemble(*(residuals.entry<VectorType>(i)),
612 info2.vector(i),
613 info2.indices);
614 }
615 }
616
617
618 //----------------------------------------------------------------------//
619
620 template <typename MatrixType, typename number>
621 inline MatrixLocalBlocksToGlobalBlocks<MatrixType, number>::
622 MatrixLocalBlocksToGlobalBlocks(double threshold)
623 : threshold(threshold)
624 {}
625
626
627 template <typename MatrixType, typename number>
628 inline void
629 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>::initialize(
630 const BlockInfo * b,
631 MatrixBlockVector<MatrixType> &m)
632 {
633 block_info = b;
634 matrices = &m;
635 }
636
637
638
639 template <typename MatrixType, typename number>
640 inline void
641 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>::initialize(
642 const AffineConstraints<typename MatrixType::value_type> &c)
643 {
644 constraints = &c;
645 }
646
647
648
649 template <typename MatrixType, typename number>
650 template <class DOFINFO>
651 inline void
652 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>::initialize_info(
653 DOFINFO &info,
654 bool face) const
655 {
656 info.initialize_matrices(*matrices, face);
657 }
658
659
660
661 template <typename MatrixType, typename number>
662 inline void
663 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble(
664 MatrixBlock<MatrixType> & global,
665 const FullMatrix<number> & local,
666 const unsigned int block_row,
667 const unsigned int block_col,
668 const std::vector<types::global_dof_index> &dof1,
669 const std::vector<types::global_dof_index> &dof2)
670 {
671 if (constraints == nullptr)
672 {
673 for (unsigned int j = 0; j < local.n_rows(); ++j)
674 for (unsigned int k = 0; k < local.n_cols(); ++k)
675 if (std::fabs(local(j, k)) >= threshold)
676 {
677 // The coordinates of
678 // the current entry in
679 // DoFHandler
680 // numbering, which
681 // differs from the
682 // block-wise local
683 // numbering we use in
684 // our local matrices
685 const unsigned int jcell =
686 this->block_info->local().local_to_global(block_row, j);
687 const unsigned int kcell =
688 this->block_info->local().local_to_global(block_col, k);
689
690 global.add(dof1[jcell], dof2[kcell], local(j, k));
691 }
692 }
693 else
694 {
695 const BlockIndices & bi = this->block_info->local();
696 std::vector<types::global_dof_index> sliced_row_indices(
697 bi.block_size(block_row));
698 for (unsigned int i = 0; i < sliced_row_indices.size(); ++i)
699 sliced_row_indices[i] = dof1[bi.block_start(block_row) + i];
700
701 std::vector<types::global_dof_index> sliced_col_indices(
702 bi.block_size(block_col));
703 for (unsigned int i = 0; i < sliced_col_indices.size(); ++i)
704 sliced_col_indices[i] = dof2[bi.block_start(block_col) + i];
705
706 constraints->distribute_local_to_global(local,
707 sliced_row_indices,
708 sliced_col_indices,
709 global);
710 }
711 }
712
713
714 template <typename MatrixType, typename number>
715 template <class DOFINFO>
716 inline void
717 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble(
718 const DOFINFO &info)
719 {
720 for (unsigned int i = 0; i < matrices->size(); ++i)
721 {
722 // Row and column index of
723 // the block we are dealing with
724 const types::global_dof_index row = matrices->block(i).row;
725 const types::global_dof_index col = matrices->block(i).column;
726
727 assemble(matrices->block(i),
728 info.matrix(i, false).matrix,
729 row,
730 col,
731 info.indices,
732 info.indices);
733 }
734 }
735
736
737 template <typename MatrixType, typename number>
738 template <class DOFINFO>
739 inline void
740 MatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble(
741 const DOFINFO &info1,
742 const DOFINFO &info2)
743 {
744 for (unsigned int i = 0; i < matrices->size(); ++i)
745 {
746 // Row and column index of
747 // the block we are dealing with
748 const types::global_dof_index row = matrices->block(i).row;
749 const types::global_dof_index col = matrices->block(i).column;
750
751 assemble(matrices->block(i),
752 info1.matrix(i, false).matrix,
753 row,
754 col,
755 info1.indices,
756 info1.indices);
757 assemble(matrices->block(i),
758 info1.matrix(i, true).matrix,
759 row,
760 col,
761 info1.indices,
762 info2.indices);
763 assemble(matrices->block(i),
764 info2.matrix(i, false).matrix,
765 row,
766 col,
767 info2.indices,
768 info2.indices);
769 assemble(matrices->block(i),
770 info2.matrix(i, true).matrix,
771 row,
772 col,
773 info2.indices,
774 info1.indices);
775 }
776 }
777
778
779 // ----------------------------------------------------------------------//
780
781 template <typename MatrixType, typename number>
782 inline MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::
783 MGMatrixLocalBlocksToGlobalBlocks(double threshold)
784 : threshold(threshold)
785 {}
786
787
788 template <typename MatrixType, typename number>
789 inline void
790 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::initialize(
791 const BlockInfo *b,
792 MatrixPtrVector &m)
793 {
794 block_info = b;
795 AssertDimension(block_info->local().size(), block_info->global().size());
796 matrices = &m;
797 }
798
799
800 template <typename MatrixType, typename number>
801 inline void
802 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::initialize(
803 const MGConstrainedDoFs &mg_c)
804 {
805 mg_constrained_dofs = &mg_c;
806 }
807
808
809 template <typename MatrixType, typename number>
810 template <class DOFINFO>
811 inline void
812 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::initialize_info(
813 DOFINFO &info,
814 bool face) const
815 {
816 info.initialize_matrices(*matrices, face);
817 }
818
819
820
821 template <typename MatrixType, typename number>
822 inline void
823 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::initialize_edge_flux(
824 MatrixPtrVector &up,
825 MatrixPtrVector &down)
826 {
827 flux_up = up;
828 flux_down = down;
829 }
830
831
832 template <typename MatrixType, typename number>
833 inline void
834 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::
835 initialize_interfaces(MatrixPtrVector &in, MatrixPtrVector &out)
836 {
837 interface_in = in;
838 interface_out = out;
839 }
840
841
842 template <typename MatrixType, typename number>
843 inline void
844 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble(
845 MatrixType & global,
846 const FullMatrix<number> & local,
847 const unsigned int block_row,
848 const unsigned int block_col,
849 const std::vector<types::global_dof_index> &dof1,
850 const std::vector<types::global_dof_index> &dof2,
851 const unsigned int level1,
852 const unsigned int level2,
853 bool transpose)
854 {
855 for (unsigned int j = 0; j < local.n_rows(); ++j)
856 for (unsigned int k = 0; k < local.n_cols(); ++k)
857 if (std::fabs(local(j, k)) >= threshold)
858 {
859 // The coordinates of
860 // the current entry in
861 // DoFHandler
862 // numbering, which
863 // differs from the
864 // block-wise local
865 // numbering we use in
866 // our local matrices
867 const unsigned int jcell =
868 this->block_info->local().local_to_global(block_row, j);
869 const unsigned int kcell =
870 this->block_info->local().local_to_global(block_col, k);
871
872 // The global dof
873 // indices to assemble
874 // in. Since we may
875 // have face matrices
876 // coupling two
877 // different cells, we
878 // provide two sets of
879 // dof indices.
880 const unsigned int jglobal = this->block_info->level(level1)
881 .global_to_local(dof1[jcell])
882 .second;
883 const unsigned int kglobal = this->block_info->level(level2)
884 .global_to_local(dof2[kcell])
885 .second;
886
887 if (mg_constrained_dofs == 0)
888 {
889 if (transpose)
890 global.add(kglobal, jglobal, local(j, k));
891 else
892 global.add(jglobal, kglobal, local(j, k));
893 }
894 else
895 {
896 if (!mg_constrained_dofs->at_refinement_edge(level1,
897 jglobal) &&
898 !mg_constrained_dofs->at_refinement_edge(level2, kglobal))
899 {
900 if (mg_constrained_dofs->set_boundary_values())
901 {
902 if ((!mg_constrained_dofs->is_boundary_index(
903 level1, jglobal) &&
904 !mg_constrained_dofs->is_boundary_index(
905 level2, kglobal)) ||
906 (mg_constrained_dofs->is_boundary_index(
907 level1, jglobal) &&
908 mg_constrained_dofs->is_boundary_index(
909 level2, kglobal) &&
910 jglobal == kglobal))
911 {
912 if (transpose)
913 global.add(kglobal, jglobal, local(j, k));
914 else
915 global.add(jglobal, kglobal, local(j, k));
916 }
917 }
918 else
919 {
920 if (transpose)
921 global.add(kglobal, jglobal, local(j, k));
922 else
923 global.add(jglobal, kglobal, local(j, k));
924 }
925 }
926 }
927 }
928 }
929
930
931 template <typename MatrixType, typename number>
932 inline void
933 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble_fluxes(
934 MatrixType & global,
935 const FullMatrix<number> & local,
936 const unsigned int block_row,
937 const unsigned int block_col,
938 const std::vector<types::global_dof_index> &dof1,
939 const std::vector<types::global_dof_index> &dof2,
940 const unsigned int level1,
941 const unsigned int level2)
942 {
943 for (unsigned int j = 0; j < local.n_rows(); ++j)
944 for (unsigned int k = 0; k < local.n_cols(); ++k)
945 if (std::fabs(local(j, k)) >= threshold)
946 {
947 // The coordinates of
948 // the current entry in
949 // DoFHandler
950 // numbering, which
951 // differs from the
952 // block-wise local
953 // numbering we use in
954 // our local matrices
955 const unsigned int jcell =
956 this->block_info->local().local_to_global(block_row, j);
957 const unsigned int kcell =
958 this->block_info->local().local_to_global(block_col, k);
959
960 // The global dof
961 // indices to assemble
962 // in. Since we may
963 // have face matrices
964 // coupling two
965 // different cells, we
966 // provide two sets of
967 // dof indices.
968 const unsigned int jglobal = this->block_info->level(level1)
969 .global_to_local(dof1[jcell])
970 .second;
971 const unsigned int kglobal = this->block_info->level(level2)
972 .global_to_local(dof2[kcell])
973 .second;
974
975 if (mg_constrained_dofs == 0)
976 global.add(jglobal, kglobal, local(j, k));
977 else
978 {
979 if (!mg_constrained_dofs->non_refinement_edge_index(
980 level1, jglobal) &&
981 !mg_constrained_dofs->non_refinement_edge_index(level2,
982 kglobal))
983 {
984 if (!mg_constrained_dofs->at_refinement_edge(level1,
985 jglobal) &&
986 !mg_constrained_dofs->at_refinement_edge(level2,
987 kglobal))
988 global.add(jglobal, kglobal, local(j, k));
989 }
990 }
991 }
992 }
993
994 template <typename MatrixType, typename number>
995 inline void
996 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble_up(
997 MatrixType & global,
998 const FullMatrix<number> & local,
999 const unsigned int block_row,
1000 const unsigned int block_col,
1001 const std::vector<types::global_dof_index> &dof1,
1002 const std::vector<types::global_dof_index> &dof2,
1003 const unsigned int level1,
1004 const unsigned int level2)
1005 {
1006 for (unsigned int j = 0; j < local.n_rows(); ++j)
1007 for (unsigned int k = 0; k < local.n_cols(); ++k)
1008 if (std::fabs(local(j, k)) >= threshold)
1009 {
1010 // The coordinates of
1011 // the current entry in
1012 // DoFHandler
1013 // numbering, which
1014 // differs from the
1015 // block-wise local
1016 // numbering we use in
1017 // our local matrices
1018 const unsigned int jcell =
1019 this->block_info->local().local_to_global(block_row, j);
1020 const unsigned int kcell =
1021 this->block_info->local().local_to_global(block_col, k);
1022
1023 // The global dof
1024 // indices to assemble
1025 // in. Since we may
1026 // have face matrices
1027 // coupling two
1028 // different cells, we
1029 // provide two sets of
1030 // dof indices.
1031 const unsigned int jglobal = this->block_info->level(level1)
1032 .global_to_local(dof1[jcell])
1033 .second;
1034 const unsigned int kglobal = this->block_info->level(level2)
1035 .global_to_local(dof2[kcell])
1036 .second;
1037
1038 if (mg_constrained_dofs == 0)
1039 global.add(jglobal, kglobal, local(j, k));
1040 else
1041 {
1042 if (!mg_constrained_dofs->non_refinement_edge_index(
1043 level1, jglobal) &&
1044 !mg_constrained_dofs->non_refinement_edge_index(level2,
1045 kglobal))
1046 {
1047 if (!mg_constrained_dofs->at_refinement_edge(level1,
1048 jglobal) &&
1049 !mg_constrained_dofs->at_refinement_edge(level2,
1050 kglobal))
1051 global.add(jglobal, kglobal, local(j, k));
1052 }
1053 }
1054 }
1055 }
1056
1057 template <typename MatrixType, typename number>
1058 inline void
1059 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble_down(
1060 MatrixType & global,
1061 const FullMatrix<number> & local,
1062 const unsigned int block_row,
1063 const unsigned int block_col,
1064 const std::vector<types::global_dof_index> &dof1,
1065 const std::vector<types::global_dof_index> &dof2,
1066 const unsigned int level1,
1067 const unsigned int level2)
1068 {
1069 for (unsigned int j = 0; j < local.n_rows(); ++j)
1070 for (unsigned int k = 0; k < local.n_cols(); ++k)
1071 if (std::fabs(local(k, j)) >= threshold)
1072 {
1073 // The coordinates of
1074 // the current entry in
1075 // DoFHandler
1076 // numbering, which
1077 // differs from the
1078 // block-wise local
1079 // numbering we use in
1080 // our local matrices
1081 const unsigned int jcell =
1082 this->block_info->local().local_to_global(block_row, j);
1083 const unsigned int kcell =
1084 this->block_info->local().local_to_global(block_col, k);
1085
1086 // The global dof
1087 // indices to assemble
1088 // in. Since we may
1089 // have face matrices
1090 // coupling two
1091 // different cells, we
1092 // provide two sets of
1093 // dof indices.
1094 const unsigned int jglobal = this->block_info->level(level1)
1095 .global_to_local(dof1[jcell])
1096 .second;
1097 const unsigned int kglobal = this->block_info->level(level2)
1098 .global_to_local(dof2[kcell])
1099 .second;
1100
1101 if (mg_constrained_dofs == 0)
1102 global.add(jglobal, kglobal, local(k, j));
1103 else
1104 {
1105 if (!mg_constrained_dofs->non_refinement_edge_index(
1106 level1, jglobal) &&
1107 !mg_constrained_dofs->non_refinement_edge_index(level2,
1108 kglobal))
1109 {
1110 if (!mg_constrained_dofs->at_refinement_edge(level1,
1111 jglobal) &&
1112 !mg_constrained_dofs->at_refinement_edge(level2,
1113 kglobal))
1114 global.add(jglobal, kglobal, local(k, j));
1115 }
1116 }
1117 }
1118 }
1119
1120 template <typename MatrixType, typename number>
1121 inline void
1122 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble_in(
1123 MatrixType & global,
1124 const FullMatrix<number> & local,
1125 const unsigned int block_row,
1126 const unsigned int block_col,
1127 const std::vector<types::global_dof_index> &dof1,
1128 const std::vector<types::global_dof_index> &dof2,
1129 const unsigned int level1,
1130 const unsigned int level2)
1131 {
1132 // AssertDimension(local.n(), dof1.size());
1133 // AssertDimension(local.m(), dof2.size());
1134
1135 for (unsigned int j = 0; j < local.n_rows(); ++j)
1136 for (unsigned int k = 0; k < local.n_cols(); ++k)
1137 if (std::fabs(local(j, k)) >= threshold)
1138 {
1139 // The coordinates of
1140 // the current entry in
1141 // DoFHandler
1142 // numbering, which
1143 // differs from the
1144 // block-wise local
1145 // numbering we use in
1146 // our local matrices
1147 const unsigned int jcell =
1148 this->block_info->local().local_to_global(block_row, j);
1149 const unsigned int kcell =
1150 this->block_info->local().local_to_global(block_col, k);
1151
1152 // The global dof
1153 // indices to assemble
1154 // in. Since we may
1155 // have face matrices
1156 // coupling two
1157 // different cells, we
1158 // provide two sets of
1159 // dof indices.
1160 const unsigned int jglobal = this->block_info->level(level1)
1161 .global_to_local(dof1[jcell])
1162 .second;
1163 const unsigned int kglobal = this->block_info->level(level2)
1164 .global_to_local(dof2[kcell])
1165 .second;
1166
1167 if (mg_constrained_dofs == 0)
1168 global.add(jglobal, kglobal, local(j, k));
1169 else
1170 {
1171 if (mg_constrained_dofs->at_refinement_edge(level1,
1172 jglobal) &&
1173 !mg_constrained_dofs->at_refinement_edge(level2, kglobal))
1174 {
1175 if (mg_constrained_dofs->set_boundary_values())
1176 {
1177 if ((!mg_constrained_dofs->is_boundary_index(
1178 level1, jglobal) &&
1179 !mg_constrained_dofs->is_boundary_index(
1180 level2, kglobal)) ||
1181 (mg_constrained_dofs->is_boundary_index(
1182 level1, jglobal) &&
1183 mg_constrained_dofs->is_boundary_index(
1184 level2, kglobal) &&
1185 jglobal == kglobal))
1186 global.add(jglobal, kglobal, local(j, k));
1187 }
1188 else
1189 global.add(jglobal, kglobal, local(j, k));
1190 }
1191 }
1192 }
1193 }
1194
1195 template <typename MatrixType, typename number>
1196 inline void
1197 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble_out(
1198 MatrixType & global,
1199 const FullMatrix<number> & local,
1200 const unsigned int block_row,
1201 const unsigned int block_col,
1202 const std::vector<types::global_dof_index> &dof1,
1203 const std::vector<types::global_dof_index> &dof2,
1204 const unsigned int level1,
1205 const unsigned int level2)
1206 {
1207 // AssertDimension(local.n(), dof1.size());
1208 // AssertDimension(local.m(), dof2.size());
1209
1210 for (unsigned int j = 0; j < local.n_rows(); ++j)
1211 for (unsigned int k = 0; k < local.n_cols(); ++k)
1212 if (std::fabs(local(k, j)) >= threshold)
1213 {
1214 // The coordinates of
1215 // the current entry in
1216 // DoFHandler
1217 // numbering, which
1218 // differs from the
1219 // block-wise local
1220 // numbering we use in
1221 // our local matrices
1222 const unsigned int jcell =
1223 this->block_info->local().local_to_global(block_row, j);
1224 const unsigned int kcell =
1225 this->block_info->local().local_to_global(block_col, k);
1226
1227 // The global dof
1228 // indices to assemble
1229 // in. Since we may
1230 // have face matrices
1231 // coupling two
1232 // different cells, we
1233 // provide two sets of
1234 // dof indices.
1235 const unsigned int jglobal = this->block_info->level(level1)
1236 .global_to_local(dof1[jcell])
1237 .second;
1238 const unsigned int kglobal = this->block_info->level(level2)
1239 .global_to_local(dof2[kcell])
1240 .second;
1241
1242 if (mg_constrained_dofs == 0)
1243 global.add(jglobal, kglobal, local(k, j));
1244 else
1245 {
1246 if (mg_constrained_dofs->at_refinement_edge(level1,
1247 jglobal) &&
1248 !mg_constrained_dofs->at_refinement_edge(level2, kglobal))
1249 {
1250 if (mg_constrained_dofs->set_boundary_values())
1251 {
1252 if ((!mg_constrained_dofs->is_boundary_index(
1253 level1, jglobal) &&
1254 !mg_constrained_dofs->is_boundary_index(
1255 level2, kglobal)) ||
1256 (mg_constrained_dofs->is_boundary_index(
1257 level1, jglobal) &&
1258 mg_constrained_dofs->is_boundary_index(
1259 level2, kglobal) &&
1260 jglobal == kglobal))
1261 global.add(jglobal, kglobal, local(k, j));
1262 }
1263 else
1264 global.add(jglobal, kglobal, local(k, j));
1265 }
1266 }
1267 }
1268 }
1269
1270
1271 template <typename MatrixType, typename number>
1272 template <class DOFINFO>
1273 inline void
1274 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble(
1275 const DOFINFO &info)
1276 {
1277 const unsigned int level = info.cell->level();
1278
1279 for (unsigned int i = 0; i < matrices->size(); ++i)
1280 {
1281 // Row and column index of
1282 // the block we are dealing with
1283 const unsigned int row = matrices->block(i)[level].row;
1284 const unsigned int col = matrices->block(i)[level].column;
1285
1286 assemble(matrices->block(i)[level].matrix,
1287 info.matrix(i, false).matrix,
1288 row,
1289 col,
1290 info.indices,
1291 info.indices,
1292 level,
1293 level);
1294 if (mg_constrained_dofs != 0)
1295 {
1296 if (interface_in != 0)
1297 assemble_in(interface_in->block(i)[level],
1298 info.matrix(i, false).matrix,
1299 row,
1300 col,
1301 info.indices,
1302 info.indices,
1303 level,
1304 level);
1305 if (interface_out != 0)
1306 assemble_in(interface_out->block(i)[level],
1307 info.matrix(i, false).matrix,
1308 row,
1309 col,
1310 info.indices,
1311 info.indices,
1312 level,
1313 level);
1314
1315 assemble_in(matrices->block_in(i)[level],
1316 info.matrix(i, false).matrix,
1317 row,
1318 col,
1319 info.indices,
1320 info.indices,
1321 level,
1322 level);
1323 assemble_out(matrices->block_out(i)[level],
1324 info.matrix(i, false).matrix,
1325 row,
1326 col,
1327 info.indices,
1328 info.indices,
1329 level,
1330 level);
1331 }
1332 }
1333 }
1334
1335
1336 template <typename MatrixType, typename number>
1337 template <class DOFINFO>
1338 inline void
1339 MGMatrixLocalBlocksToGlobalBlocks<MatrixType, number>::assemble(
1340 const DOFINFO &info1,
1341 const DOFINFO &info2)
1342 {
1343 const unsigned int level1 = info1.cell->level();
1344 const unsigned int level2 = info2.cell->level();
1345
1346 for (unsigned int i = 0; i < matrices->size(); ++i)
1347 {
1348 MGLevelObject<MatrixBlock<MatrixType>> &o = matrices->block(i);
1349
1350 // Row and column index of
1351 // the block we are dealing with
1352 const unsigned int row = o[level1].row;
1353 const unsigned int col = o[level1].column;
1354
1355 if (level1 == level2)
1356 {
1357 if (mg_constrained_dofs == 0)
1358 {
1359 assemble(o[level1].matrix,
1360 info1.matrix(i, false).matrix,
1361 row,
1362 col,
1363 info1.indices,
1364 info1.indices,
1365 level1,
1366 level1);
1367 assemble(o[level1].matrix,
1368 info1.matrix(i, true).matrix,
1369 row,
1370 col,
1371 info1.indices,
1372 info2.indices,
1373 level1,
1374 level2);
1375 assemble(o[level1].matrix,
1376 info2.matrix(i, false).matrix,
1377 row,
1378 col,
1379 info2.indices,
1380 info2.indices,
1381 level2,
1382 level2);
1383 assemble(o[level1].matrix,
1384 info2.matrix(i, true).matrix,
1385 row,
1386 col,
1387 info2.indices,
1388 info1.indices,
1389 level2,
1390 level1);
1391 }
1392 else
1393 {
1394 assemble_fluxes(o[level1].matrix,
1395 info1.matrix(i, false).matrix,
1396 row,
1397 col,
1398 info1.indices,
1399 info1.indices,
1400 level1,
1401 level1);
1402 assemble_fluxes(o[level1].matrix,
1403 info1.matrix(i, true).matrix,
1404 row,
1405 col,
1406 info1.indices,
1407 info2.indices,
1408 level1,
1409 level2);
1410 assemble_fluxes(o[level1].matrix,
1411 info2.matrix(i, false).matrix,
1412 row,
1413 col,
1414 info2.indices,
1415 info2.indices,
1416 level2,
1417 level2);
1418 assemble_fluxes(o[level1].matrix,
1419 info2.matrix(i, true).matrix,
1420 row,
1421 col,
1422 info2.indices,
1423 info1.indices,
1424 level2,
1425 level1);
1426 }
1427 }
1428 else
1429 {
1430 Assert(level1 > level2, ExcNotImplemented());
1431 if (flux_up->size() != 0)
1432 {
1433 // Do not add M22,
1434 // which is done by
1435 // the coarser cell
1436 assemble_fluxes(o[level1].matrix,
1437 info1.matrix(i, false).matrix,
1438 row,
1439 col,
1440 info1.indices,
1441 info1.indices,
1442 level1,
1443 level1);
1444 assemble_up(flux_up->block(i)[level1].matrix,
1445 info1.matrix(i, true).matrix,
1446 row,
1447 col,
1448 info1.indices,
1449 info2.indices,
1450 level1,
1451 level2);
1452 assemble_down(flux_down->block(i)[level1].matrix,
1453 info2.matrix(i, true).matrix,
1454 row,
1455 col,
1456 info2.indices,
1457 info1.indices,
1458 level2,
1459 level1);
1460 }
1461 }
1462 }
1463 }
1464 } // namespace Assembler
1465} // namespace MeshWorker
1466
1467DEAL_II_NAMESPACE_CLOSE
1468
1469#endif
any_data.h
block_vector.h
BlockIndices::block_size
size_type block_size(const unsigned int i) const
Definition: block_indices.h:371
BlockIndices::block_start
size_type block_start(const unsigned int i) const
Definition: block_indices.h:396
BlockInfo
A small class collecting the different BlockIndices involved in global, multilevel and local computat...
Definition: block_info.h:94
MatrixBlock::add
void add(const size_type i, const size_type j, const typename MatrixType::value_type value)
Definition: matrix_block.h:675
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::assemble_down
void assemble_down(MatrixType &global, const FullMatrix< number > &local, const unsigned int block_row, const unsigned int block_col, const std::vector< types::global_dof_index > &dof1, const std::vector< types::global_dof_index > &dof2, const unsigned int level1, const unsigned int level2)
Definition: assembler.h:1059
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::initialize_info
void initialize_info(DOFINFO &info, bool face) const
Definition: assembler.h:812
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::assemble_in
void assemble_in(MatrixType &global, const FullMatrix< number > &local, const unsigned int block_row, const unsigned int block_col, const std::vector< types::global_dof_index > &dof1, const std::vector< types::global_dof_index > &dof2, const unsigned int level1, const unsigned int level2)
Definition: assembler.h:1122
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::MatrixPtrVector
MGMatrixBlockVector< MatrixType > MatrixPtrVector
Definition: assembler.h:328
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::mg_constrained_dofs
SmartPointer< const MGConstrainedDoFs, MGMatrixLocalBlocksToGlobalBlocks< MatrixType, number > > mg_constrained_dofs
Definition: assembler.h:515
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::initialize
void initialize(const BlockInfo *block_info, MatrixPtrVector &matrices)
Definition: assembler.h:790
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::assemble_up
void assemble_up(MatrixType &global, const FullMatrix< number > &local, const unsigned int block_row, const unsigned int block_col, const std::vector< types::global_dof_index > &dof1, const std::vector< types::global_dof_index > &dof2, const unsigned int level1, const unsigned int level2)
Definition: assembler.h:996
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::assemble_out
void assemble_out(MatrixType &global, const FullMatrix< number > &local, const unsigned int block_row, const unsigned int block_col, const std::vector< types::global_dof_index > &dof1, const std::vector< types::global_dof_index > &dof2, const unsigned int level1, const unsigned int level2)
Definition: assembler.h:1197
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::initialize_interfaces
void initialize_interfaces(MatrixPtrVector &interface_in, MatrixPtrVector &interface_out)
Definition: assembler.h:835
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::assemble_fluxes
void assemble_fluxes(MatrixType &global, const FullMatrix< number > &local, const unsigned int block_row, const unsigned int block_col, const std::vector< types::global_dof_index > &dof1, const std::vector< types::global_dof_index > &dof2, const unsigned int level1, const unsigned int level2)
Definition: assembler.h:933
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::block_info
SmartPointer< const BlockInfo, MGMatrixLocalBlocksToGlobalBlocks< MatrixType, number > > block_info
Definition: assembler.h:508
MeshWorker::Assembler::MGMatrixLocalBlocksToGlobalBlocks::initialize_edge_flux
void initialize_edge_flux(MatrixPtrVector &up, MatrixPtrVector &down)
Definition: assembler.h:823
MeshWorker::Assembler::MatrixLocalBlocksToGlobalBlocks::matrices
SmartPointer< MatrixBlockVector< MatrixType >, MatrixLocalBlocksToGlobalBlocks< MatrixType, number > > matrices
Definition: assembler.h:277
MeshWorker::Assembler::MatrixLocalBlocksToGlobalBlocks::block_info
SmartPointer< const BlockInfo, MatrixLocalBlocksToGlobalBlocks< MatrixType, number > > block_info
Definition: assembler.h:284
MeshWorker::Assembler::MatrixLocalBlocksToGlobalBlocks::constraints
SmartPointer< const AffineConstraints< typename MatrixType::value_type >, MatrixLocalBlocksToGlobalBlocks< MatrixType, number > > constraints
Definition: assembler.h:291
MeshWorker::Assembler::MatrixLocalBlocksToGlobalBlocks::initialize_info
void initialize_info(DOFINFO &info, bool face) const
Definition: assembler.h:652
MeshWorker::Assembler::MatrixLocalBlocksToGlobalBlocks::initialize
void initialize(const BlockInfo *block_info, MatrixBlockVector< MatrixType > &matrices)
Definition: assembler.h:629
MeshWorker::Assembler::MatrixLocalBlocksToGlobalBlocks::MatrixLocalBlocksToGlobalBlocks
MatrixLocalBlocksToGlobalBlocks(double threshold=1.e-12)
Definition: assembler.h:622
MeshWorker::Assembler::ResidualLocalBlocksToGlobalBlocks::initialize_info
void initialize_info(DOFINFO &info, bool face) const
Definition: assembler.h:550
MeshWorker::Assembler::ResidualLocalBlocksToGlobalBlocks::initialize
void initialize(const BlockInfo *block_info, AnyData &residuals)
Definition: assembler.h:530
MeshWorker::Assembler::ResidualLocalBlocksToGlobalBlocks::block_info
SmartPointer< const BlockInfo, ResidualLocalBlocksToGlobalBlocks< VectorType > > block_info
Definition: assembler.h:172
MeshWorker::Assembler::ResidualLocalBlocksToGlobalBlocks::constraints
SmartPointer< const AffineConstraints< typename VectorType::value_type >, ResidualLocalBlocksToGlobalBlocks< VectorType > > constraints
Definition: assembler.h:179
DEAL_II_NAMESPACE_OPEN
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:402
DEAL_II_NAMESPACE_CLOSE
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:403
transpose
DerivativeForm< 1, spacedim, dim, Number > transpose(const DerivativeForm< 1, dim, spacedim, Number > &DF)
Definition: derivative_form.h:536
level
unsigned int level
Definition: grid_out.cc:4590
BlockVectorBase::n_blocks
unsigned int n_blocks() const
StandardExceptions::ExcNotImplemented
static ::ExceptionBase & ExcNotImplemented()
Assert
#define Assert(cond, exc)
Definition: exceptions.h:1465
AssertDimension
#define AssertDimension(dim1, dim2)
Definition: exceptions.h:1622
BlockVectorBase::block
BlockType & block(const unsigned int i)
dof_info.h
mg_constrained_dofs.h
mg_level_object.h
Differentiation::SD::fabs
Expression fabs(const Expression &x)
Definition: symengine_math.cc:273
LAPACKSupport::matrix
@ matrix
Contents is actually a matrix.
Definition: lapack_support.h:58
Physics::Elasticity::Kinematics::b
SymmetricTensor< 2, dim, Number > b(const Tensor< 2, dim, Number > &F)
internal::assemble
void assemble(const MeshWorker::DoFInfoBox< dim, DOFINFO > &dinfo, A *assembler)
Definition: loop.h:71
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