From 8ab70a600299c856ddef0f8e9574dc5b98833b56 Mon Sep 17 00:00:00 2001 From: bangerth Date: Sat, 10 Mar 2007 03:08:13 +0000 Subject: [PATCH] New DoFTools::make_sparsity_pattern and GridTools::get_active_child_cells git-svn-id: https://svn.dealii.org/trunk@14571 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/deal.II/include/dofs/dof_tools.h | 40 + deal.II/deal.II/include/grid/grid_tools.h | 59 ++ deal.II/deal.II/source/dofs/dof_tools.cc | 155 ++++ deal.II/doc/news/changes.html | 17 + tests/deal.II/Makefile | 2 +- tests/deal.II/sparsity_pattern_01.cc | 243 ++++++ tests/deal.II/sparsity_pattern_01/cmp/generic | 10 + tests/deal.II/sparsity_pattern_02/cmp/generic | 642 +++++++++++++++ tests/deal.II/sparsity_pattern_03/cmp/generic | 763 ++++++++++++++++++ tests/deal.II/sparsity_pattern_04/cmp/generic | 763 ++++++++++++++++++ 10 files changed, 2693 insertions(+), 1 deletion(-) create mode 100644 tests/deal.II/sparsity_pattern_01.cc create mode 100644 tests/deal.II/sparsity_pattern_01/cmp/generic create mode 100644 tests/deal.II/sparsity_pattern_02/cmp/generic create mode 100644 tests/deal.II/sparsity_pattern_03/cmp/generic create mode 100644 tests/deal.II/sparsity_pattern_04/cmp/generic diff --git a/deal.II/deal.II/include/dofs/dof_tools.h b/deal.II/deal.II/include/dofs/dof_tools.h index d4d2720f50..c1dfd56e6a 100644 --- a/deal.II/deal.II/include/dofs/dof_tools.h +++ b/deal.II/deal.II/include/dofs/dof_tools.h @@ -481,6 +481,46 @@ class DoFTools make_sparsity_pattern (const DH &dof, const std::vector > &mask, SparsityPattern &sparsity_pattern); + + /** + * Construct a sparsity pattern that + * allows coupling degrees of freedom on + * two different but related meshes. + * + * The idea is that if the two given + * DoFHandler objects correspond to two + * different meshes (and potentially to + * different finite elements used on + * these cells), but that if the two + * triangulations they are based on are + * derived from the same coarse mesh + * through hierarchical refinement, then + * one may set up a problem where one + * would like to test shape functions + * from one mesh against the shape + * functions from another mesh. In + * particular, this means that shape + * functions from a cell on the first + * mesh are tested against those on the + * second cell that are located on the + * corresponding cell; this + * correspondence is something that the + * IntergridMap class can determine. + * + * This function then constructs a + * sparsity pattern for which the degrees + * of freedom that represent the rows + * come from the first given DoFHandler, + * whereas the ones that correspond to + * columns come from the second + * DoFHandler. + */ + template + static + void + make_sparsity_pattern (const DH &dof_row, + const DH &dof_col, + SparsityPattern &sparsity); /** * Create the sparsity pattern for diff --git a/deal.II/deal.II/include/grid/grid_tools.h b/deal.II/deal.II/include/grid/grid_tools.h index 99936e5a2d..eb0d953d47 100644 --- a/deal.II/deal.II/include/grid/grid_tools.h +++ b/deal.II/deal.II/include/grid/grid_tools.h @@ -398,6 +398,35 @@ class GridTools find_active_cell_around_point (const hp::MappingCollection &mapping, const hp::DoFHandler &container, const Point &p); + + /** + * Return a list of all descendents of + * the given cell that are active. For + * example, if the current cell is once + * refined but none of its children are + * any further refined, then the returned + * list will contain all its children. + * + * If the current cell is already active, + * then the returned list is empty + * (because the cell has no children that + * may be active). + * + * Since in C++ the type of the Container + * template argument (which can be + * Triangulation, DoFHandler, + * MGDoFHandler, or hp::DoFHandler) can + * not be deduced from a function call, + * you will have to specify it after the + * function name, as for example in + * GridTools::get_active_child_cells@ + * @> (cell). + */ + template + static + std::vector + get_active_child_cells (const typename Container::cell_iterator &cell); + /** * Use the METIS partitioner to generate @@ -695,6 +724,36 @@ void GridTools::transform (const Predicate &predicate, } + +template +std::vector +GridTools::get_active_child_cells (const typename DH::cell_iterator& cell) +{ + std::vector child_cells; + + if (cell->has_children()) + { + for (unsigned int child=0; + child::children_per_cell; ++child) + if (cell->child (child)->has_children()) + { + const std::vector + children = get_active_child_cells (cell->child(child)); + child_cells.insert (child_cells.end(), + children.begin(), children.end()); + } + else + child_cells.push_back (cell->child(child)); + } + + return child_cells; +} + + + + + + DEAL_II_NAMESPACE_CLOSE /*---------------------------- grid_tools.h ---------------------------*/ diff --git a/deal.II/deal.II/source/dofs/dof_tools.cc b/deal.II/deal.II/source/dofs/dof_tools.cc index 127455dbda..be1d713d03 100644 --- a/deal.II/deal.II/source/dofs/dof_tools.cc +++ b/deal.II/deal.II/source/dofs/dof_tools.cc @@ -20,6 +20,7 @@ #include #include #include +#include #include #include #include @@ -168,6 +169,108 @@ DoFTools::make_sparsity_pattern ( +template +void +DoFTools::make_sparsity_pattern ( + const DH &dof_row, + const DH &dof_col, + SparsityPattern &sparsity) +{ + const unsigned int n_dofs_row = dof_row.n_dofs(); + const unsigned int n_dofs_col = dof_col.n_dofs(); + + Assert (sparsity.n_rows() == n_dofs_row, + ExcDimensionMismatch (sparsity.n_rows(), n_dofs_row)); + Assert (sparsity.n_cols() == n_dofs_col, + ExcDimensionMismatch (sparsity.n_cols(), n_dofs_col)); + + + const std::list > + cell_list + = GridTools::get_finest_common_cells (dof_row, dof_col); + + + typename std::list > + ::const_iterator + cell_iter = cell_list.begin(); + + for (; cell_iter!=cell_list.end(); ++cell_iter) + { + const typename DH::cell_iterator cell_row = cell_iter->first; + const typename DH::cell_iterator cell_col = cell_iter->second; + + if (!cell_row->has_children() && !cell_col->has_children()) + { + const unsigned int dofs_per_cell_row = + cell_row->get_fe().dofs_per_cell; + const unsigned int dofs_per_cell_col = + cell_col->get_fe().dofs_per_cell; + std::vector + local_dof_indices_row(dofs_per_cell_row); + std::vector + local_dof_indices_col(dofs_per_cell_col); + cell_row->get_dof_indices (local_dof_indices_row); + cell_col->get_dof_indices (local_dof_indices_col); + for (unsigned int i=0; ihas_children()) + { + const std::vector + child_cells = GridTools::get_active_child_cells (cell_row); + for (unsigned int i; iget_fe().dofs_per_cell; + const unsigned int dofs_per_cell_col = + cell_col->get_fe().dofs_per_cell; + std::vector + local_dof_indices_row(dofs_per_cell_row); + std::vector + local_dof_indices_col(dofs_per_cell_col); + cell_row_child->get_dof_indices (local_dof_indices_row); + cell_col->get_dof_indices (local_dof_indices_col); + for (unsigned int i=0; i + child_cells = GridTools::get_active_child_cells (cell_col); + for (unsigned int i; iget_fe().dofs_per_cell; + const unsigned int dofs_per_cell_col = + cell_col_child->get_fe().dofs_per_cell; + std::vector + local_dof_indices_row(dofs_per_cell_row); + std::vector + local_dof_indices_col(dofs_per_cell_col); + cell_row->get_dof_indices (local_dof_indices_row); + cell_col_child->get_dof_indices (local_dof_indices_col); + for (unsigned int i=0; i @@ -4912,6 +5015,58 @@ DoFTools::make_sparsity_pattern, const Table<2,Coupling>&, CompressedBlockSparsityPattern&); + +template void +DoFTools::make_sparsity_pattern, + SparsityPattern> +(const DoFHandler &dof_row, + const DoFHandler &dof_col, + SparsityPattern &sparsity); +template void +DoFTools::make_sparsity_pattern, + CompressedSparsityPattern> +(const DoFHandler &dof_row, + const DoFHandler &dof_col, + CompressedSparsityPattern &sparsity); +template void +DoFTools::make_sparsity_pattern, + BlockSparsityPattern> +(const DoFHandler &dof_row, + const DoFHandler &dof_col, + BlockSparsityPattern &sparsity); +template void +DoFTools::make_sparsity_pattern, + CompressedBlockSparsityPattern> +(const DoFHandler &dof_row, + const DoFHandler &dof_col, + CompressedBlockSparsityPattern &sparsity); + +template void +DoFTools::make_sparsity_pattern, + SparsityPattern> +(const hp::DoFHandler &dof_row, + const hp::DoFHandler &dof_col, + SparsityPattern &sparsity); +template void +DoFTools::make_sparsity_pattern, + CompressedSparsityPattern> +(const hp::DoFHandler &dof_row, + const hp::DoFHandler &dof_col, + CompressedSparsityPattern &sparsity); +template void +DoFTools::make_sparsity_pattern, + BlockSparsityPattern> +(const hp::DoFHandler &dof_row, + const hp::DoFHandler &dof_col, + BlockSparsityPattern &sparsity); +template void +DoFTools::make_sparsity_pattern, + CompressedBlockSparsityPattern> +(const hp::DoFHandler &dof_row, + const hp::DoFHandler &dof_col, + CompressedBlockSparsityPattern &sparsity); + + // #if deal_II_dimension > 1 template void DoFTools::make_boundary_sparsity_pattern,SparsityPattern> diff --git a/deal.II/doc/news/changes.html b/deal.II/doc/news/changes.html index d149b5503f..40eb58dc4a 100644 --- a/deal.II/doc/news/changes.html +++ b/deal.II/doc/news/changes.html @@ -1023,6 +1023,23 @@ inconvenience this causes.

deal.II

    +

  1. New: There is a new variant of + DoFTools::make_sparsity_pattern that can be used to + construct sparsity patterns corresponding to problems where one would + like to test shape functions defined on one mesh with shape functions + defined on a different mesh (or on the same mesh but using a different + DoFHandler that may use a different finite element, for example). +
    + (Yaqi Wang 2007/03/09) +

    + +

  2. New: The + GridTools::get_active_child_cells function determines all + active children of a cell. +
    + (Yaqi Wang 2007/03/09) +

    +

  3. New: The ConstraintMatrix::write_dot function can be used to produce a graphical representation of the graph of diff --git a/tests/deal.II/Makefile b/tests/deal.II/Makefile index fb96c3c49a..c452c05c65 100644 --- a/tests/deal.II/Makefile +++ b/tests/deal.II/Makefile @@ -45,7 +45,7 @@ tests_x = block_matrices \ support_point_map \ filtered_matrix \ boundaries \ - sparsity_pattern \ + sparsity_pattern* \ grid_tools \ subdomain_ids \ filtered_iterator \ diff --git a/tests/deal.II/sparsity_pattern_01.cc b/tests/deal.II/sparsity_pattern_01.cc new file mode 100644 index 0000000000..6457c38c5a --- /dev/null +++ b/tests/deal.II/sparsity_pattern_01.cc @@ -0,0 +1,243 @@ +//---------------------------- sparsity_pattern_01.cc --------------------------- +// $Id$ +// Version: $Name$ +// +// Copyright (C) 2000, 2001, 2003, 2004, 2007 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- sparsity_pattern_01.cc --------------------------- + + +// A variant of deal.II/sparsity_pattern. use the version of +// DoFTools::make_sparsity_pattern that takes two DoFHandler arguments. the +// output should be the same, of course, if we use the same DoFHandler for +// both arguments. + + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + + + +bool operator == (const SparsityPattern &sp1, + const SparsityPattern &sp2) +{ + if (sp1.n_nonzero_elements() != sp2.n_nonzero_elements()) + return false; + + for (unsigned int i=0; i +void +check_boundary (const DoFHandler &dof) +{ + std::vector dof_to_boundary_mapping; + DoFTools::map_dof_to_boundary_indices (dof, + dof_to_boundary_mapping); + + // first way: direct generation + SparsityPattern sparsity_1(dof.n_boundary_dofs(), + dof.max_couplings_between_boundary_dofs()); + DoFTools::make_boundary_sparsity_pattern (dof, + dof_to_boundary_mapping, + sparsity_1); + sparsity_1.compress (); + + // second way: via a CompressedSparsityPattern + SparsityPattern sparsity_2; + CompressedSparsityPattern csp(dof.n_boundary_dofs()); + DoFTools::make_boundary_sparsity_pattern (dof, + dof_to_boundary_mapping, + csp); + sparsity_2.copy_from (csp); + + // the exact content of sparsity + // patterns is checked in other + // tests, so only make sure that + // sparsity_[12] are equal + deallog << "Check boundary" + << " -- " + << (sparsity_1 == sparsity_2 ? "ok" : "failed") + << std::endl; +} + + + + +template +void +check () +{ + Triangulation tr; + if (dim==2) + GridGenerator::hyper_ball(tr, Point(), 1); + else + GridGenerator::hyper_cube(tr, -1,1); + tr.refine_global (1); + tr.begin_active()->set_refine_flag (); + tr.execute_coarsening_and_refinement (); + tr.begin_active(2)->set_refine_flag (); + tr.execute_coarsening_and_refinement (); + if (dim==1) + tr.refine_global(2); + + // create a system element composed + // of one Q1 and one Q2 element + FESystem element(FE_Q(1), 1, + FE_Q(2), 1); + DoFHandler dof(tr); + dof.distribute_dofs(element); + + ConstraintMatrix constraints; + DoFTools::make_hanging_node_constraints (dof, constraints); + constraints.close (); + + // create sparsity pattern. note + // that different components should + // not couple, so use pattern + std::vector > mask (2, std::vector(2, false)); + mask[0][0] = mask[1][1] = true; + + +//--------------- Regular sparsity pattern checks ----------------- + + // first way: directly + SparsityPattern sparsity_1 (dof.n_dofs(), dof.n_dofs()); + DoFTools::make_sparsity_pattern (dof, mask, sparsity_1); + constraints.condense (sparsity_1); + sparsity_1.compress (); + + // second way: via + // CompressedSparsityPattern + SparsityPattern sparsity_2; + CompressedSparsityPattern csp_2 (dof.n_dofs()); + DoFTools::make_sparsity_pattern (dof, mask, csp_2); + constraints.condense (csp_2); + sparsity_2.copy_from (csp_2); + + + // the exact content of sparsity + // patterns is checked in other + // tests, so only make sure that + // sparsity_[12] are equal + deallog << "Check 1:" + << " -- " + << (sparsity_1 == sparsity_2 ? "ok" : "failed") + << std::endl; + + + +//--------------- Block sparsity pattern checks ----------------- + + const unsigned int n = dof.n_dofs(); + const unsigned int n1 = n/3; + const unsigned int n2 = n - n1; + + BlockSparsityPattern sparsity_3(2,2); + sparsity_3.block(0,0).reinit (n1,n1,n); + sparsity_3.block(1,0).reinit (n2,n1,n); + sparsity_3.block(0,1).reinit (n1,n2,n); + sparsity_3.block(1,1).reinit (n2,n2,n); + sparsity_3.collect_sizes (); + + DoFTools::make_sparsity_pattern (dof, dof, sparsity_3); + constraints.condense (sparsity_3); + sparsity_3.compress (); + + BlockSparsityPattern sparsity_4; + CompressedBlockSparsityPattern csp_4(2,2); + csp_4.block(0,0).reinit (n1,n1); + csp_4.block(1,0).reinit (n2,n1); + csp_4.block(0,1).reinit (n1,n2); + csp_4.block(1,1).reinit (n2,n2); + csp_4.collect_sizes (); + + DoFTools::make_sparsity_pattern (dof, dof, csp_4); + constraints.condense (csp_4); + csp_4.compress (); + + sparsity_4.copy_from (csp_4); + + deallog << "Check 2:" + << " -- " + << (sparsity_3 == sparsity_4 ? "ok" : "failed") + << std::endl; + + +//--------------- Sparsity pattern checks for +// boundary sparsity generators ----------------- + + // check boundary matrices + check_boundary (dof); +} + + + +int main () +{ + std::ofstream logfile ("sparsity_pattern_01/output"); + logfile.precision (2); + logfile.setf(std::ios::fixed); + deallog.attach(logfile); + deallog.depth_console (0); + + deallog.push ("1d"); + check<1> (); + deallog.pop (); + deallog.push ("2d"); + check<2> (); + deallog.pop (); + deallog.push ("3d"); + check<3> (); + deallog.pop (); +} diff --git a/tests/deal.II/sparsity_pattern_01/cmp/generic b/tests/deal.II/sparsity_pattern_01/cmp/generic new file mode 100644 index 0000000000..76b2767418 --- /dev/null +++ b/tests/deal.II/sparsity_pattern_01/cmp/generic @@ -0,0 +1,10 @@ + +DEAL:1d::Check 1: -- ok +DEAL:1d::Check 2: -- ok +DEAL:1d::Check boundary -- ok +DEAL:2d::Check 1: -- ok +DEAL:2d::Check 2: -- ok +DEAL:2d::Check boundary -- ok +DEAL:3d::Check 1: -- ok +DEAL:3d::Check 2: -- ok +DEAL:3d::Check boundary -- ok diff --git a/tests/deal.II/sparsity_pattern_02/cmp/generic b/tests/deal.II/sparsity_pattern_02/cmp/generic new file mode 100644 index 0000000000..f9f6b90e2c --- /dev/null +++ b/tests/deal.II/sparsity_pattern_02/cmp/generic @@ -0,0 +1,642 @@ + +[0,0] +[1,1] +[2,2] +[3,3] +[4,4] +[5,5] +[6,6] +[7,7] +[8,8] +[9,9] +[10,10] +[11,11] +[12,12] +[13,13] +[14,14] +[15,15] +[16,16] +[17,17] +[18,18] +[19,19] +[20,20] +[21,21] +[22,22] +[23,23] +[24,24] +[25,25] +[26,26,0,1,2,3,4] +[27,27,0,1,2,3,4] +[28,28,0,1,2,3,4] +[29,29,0,1,2,3,4] +[30,30,0,1,2,3,4] +[31,31,0,1,2,3,4] +[32,32,0,1,2,3,4] +[33,33,0,1,2,3,4] +[34,34,0,1,2,3,4] +[35,35,0,1,2,3,4] +[36,36,0,1,2,3,4] +[37,37,0,1,2,3,4] +[38,38,0,1,2,3,4] +[39,39,0,1,2,3,4] +[40,40] +[41,41] +[42,42] +[43,43] +[44,44] +[45,45] +[46,46] +[47,47] +[48,48] +[49,49] +[0,0,1,2,3,4,5,6,7,8,9,10,11,12] +[1,1,0,2,3,4,5,6,7,8,9,10,11,12] +[2,2] +[3,3] +[4,4,0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] +[5,5,0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] +[6,6,7,15,16,18,21,22,23,24,25,26,27,28,60,61,62,79,80,88,89,90] +[7,7,6,15,16,18,21,22,23,24,25,26,27,28,60,61,62,79,80,88,89,90] +[8,8] +[9,9] +[10,10] +[11,11,6,7,15,16,18,21,22,23,24,25,26,27,28] +[12,12] +[13,13,0,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,31,32,34,37,38,39,40,41] +[14,14,0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,31,32,34,37,38,39,40,41] +[15,15,4,5,6,7,11,13,14,16,17,18,19,20,31,32,34,37,38,39,40,41,55,56,57,58,59] +[16,16,4,5,6,7,11,13,14,15,17,18,19,20,31,32,34,37,38,39,40,41,55,56,57,58,59] +[17,17,4,5,6,7,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,37,38,39,55,56,57,58,59,60,61,62,63,64] +[18,18,4,5,6,7,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,37,38,39,55,56,57,58,59,60,61,62,63,64] +[19,19,4,5,6,7,11,13,14,15,16,17,18,20,31,32,34,37,38,39,40,41] 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b/tests/deal.II/sparsity_pattern_04/cmp/generic @@ -0,0 +1,763 @@ + +[0,31,36,37,38,39,40] +[1,31,36,37,38,39,40] +[2,31,36,37,38,39,40] +[3] +[4] +[5] +[6] +[7] +[8] +[9] +[10] +[11] +[12] +[13] +[14] +[15] +[16] +[17] +[18] +[19,16,21,22,23,24,25] +[20,16,21,22,23,24,25] +[21,16,21,22,23,24,25] +[22,16,21,22,23,24,25,26,27,28,29,30] +[23,16,21,22,23,24,25,26,27,28,29,30] +[24,16,21,22,23,24,25,26,27,28,29,30] +[25,16,21,22,23,24,25] +[26,21,26,27,28,29,30,31,32,33,34,35] +[27,21,26,27,28,29,30,31,32,33,34,35] +[28,21,26,27,28,29,30,31,32,33,34,35] +[29,21,26,27,28,29,30] +[30,26,31,32,33,34,35,36,37,38,39,40] +[31,26,31,32,33,34,35,36,37,38,39,40] +[32,26,31,32,33,34,35,36,37,38,39,40] +[33,26,31,32,33,34,35] +[34,31,36,37,38,39,40] +[35,0,1,2,3,4,5] +[36,0,1,2,3,4,5] +[37,0,1,2,3,4,5] +[38,0,1,2,3,4,5] +[39,0,1,2,3,4,5] +[40,0,1,2,3,4,5] +[41,0,1,2,3,4,5] +[42,0,1,2,3,4,5] +[43,0,1,2,3,4,5] +[44,0,1,2,3,4,5] +[45,0,1,2,3,4,5] +[46] +[47] +[48] +[49] +[50] +[51] +[52] +[53] +[54] 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