From 937b1b3a2ff419126f3c5fe181c086e412509515 Mon Sep 17 00:00:00 2001 From: Dominik Still Date: Mon, 29 Apr 2024 13:30:42 +0200 Subject: [PATCH] Fix MG transfer for Tetrahedrons The prolongation and embedding matrices for Tetrahedral elements are incorrect, due to the new refinement strategy. Fix the interpolation operations by saving the refinement direction and using it to compute the matrices. --- include/deal.II/fe/fe_simplex_p.h | 14 +- include/deal.II/fe/fe_tools.templates.h | 70 +- include/deal.II/grid/reference_cell.h | 426 ++- include/deal.II/grid/tria_accessor.h | 21 + .../deal.II/grid/tria_accessor.templates.h | 44 +- include/deal.II/grid/tria_levels.h | 7 + .../mg_transfer_global_coarsening.templates.h | 36 +- source/fe/fe.cc | 24 +- source/fe/fe_simplex_p.cc | 258 +- source/fe/fe_simplex_p_bubbles.cc | 1 + source/fe/fe_system.cc | 6 +- source/grid/tria.cc | 350 +- source/grid/tria_levels.cc | 1 + tests/fe/prolongation_restriction.cc | 172 + tests/fe/prolongation_restriction.output | 2908 +++++++++++++++++ tests/fe/up_and_down_simplex.cc | 252 ++ tests/fe/up_and_down_simplex.output | 23 + .../mg_transfer_a_05.cc | 4 + ...nsfer_a_05.with_p4est=true.mpirun=1.output | 12 + 19 files changed, 4321 insertions(+), 308 deletions(-) create mode 100644 tests/fe/prolongation_restriction.cc create mode 100644 tests/fe/prolongation_restriction.output create mode 100644 tests/fe/up_and_down_simplex.cc create mode 100644 tests/fe/up_and_down_simplex.output diff --git a/include/deal.II/fe/fe_simplex_p.h b/include/deal.II/fe/fe_simplex_p.h index fce4b92a4b..de1df4cf8e 100644 --- a/include/deal.II/fe/fe_simplex_p.h +++ b/include/deal.II/fe/fe_simplex_p.h @@ -42,6 +42,7 @@ public: FE_SimplexPoly( const BarycentricPolynomials polynomials, const FiniteElementData &fe_data, + const bool prolongation_is_additive, const std::vector> &unit_support_points, const std::vector>> unit_face_support_points, const FullMatrix &interface_constraints); @@ -107,7 +108,7 @@ public: const std::vector> &support_point_values, std::vector &nodal_values) const override; -private: +protected: /** * Mutex variables used for protecting the initialization of restriction * and embedding matrices. @@ -225,6 +226,17 @@ public: std::vector> hp_line_dof_identities( const FiniteElement &fe_other) const override; + + /** + * @copydoc dealii::FiniteElement::get_restriction_matrix() + * + * @note Only implemented for RefinementCase::isotropic_refinement. + */ + virtual const FullMatrix & + get_restriction_matrix( + const unsigned int child, + const RefinementCase &refinement_case = + RefinementCase::isotropic_refinement) const override; }; DEAL_II_NAMESPACE_CLOSE diff --git a/include/deal.II/fe/fe_tools.templates.h b/include/deal.II/fe/fe_tools.templates.h index 5eac211eae..898aea2e2b 100644 --- a/include/deal.II/fe/fe_tools.templates.h +++ b/include/deal.II/fe/fe_tools.templates.h @@ -1715,9 +1715,10 @@ namespace FETools const unsigned int ref_case, const double threshold) { - const unsigned int n = fe.n_dofs_per_cell(); - const unsigned int nc = - GeometryInfo::n_children(RefinementCase(ref_case)); + const unsigned int n = fe.n_dofs_per_cell(); + const ReferenceCell reference_cell = fe.reference_cell(); + const unsigned int nc = + reference_cell.n_children(RefinementCase(ref_case)); AssertDimension(matrices.size(), nc); @@ -1729,13 +1730,19 @@ namespace FETools ExcDimensionMismatch(matrices[i].m(), n)); } - const ReferenceCell reference_cell = fe.reference_cell(); // Set up meshes, one with a single // reference cell and refine it once Triangulation tria; GridGenerator::reference_cell(tria, reference_cell); - tria.begin_active()->set_refine_flag(RefinementCase(ref_case)); + if (reference_cell == ReferenceCells::Tetrahedron) + { + tria.begin_active()->set_refine_flag( + RefinementCase::isotropic_refinement); + tria.begin_active()->set_refine_choice(ref_case); + } + else + tria.begin_active()->set_refine_flag(RefinementCase(ref_case)); tria.execute_coarsening_and_refinement(); const unsigned int degree = fe.degree; @@ -1862,10 +1869,23 @@ namespace FETools Threads::TaskGroup task_group; // loop over all possible refinement cases - for (unsigned int ref_case = - (isotropic_only ? RefinementCase::isotropic_refinement : - RefinementCase::cut_x); - ref_case <= RefinementCase::isotropic_refinement; + unsigned int ref_case_start, ref_case_end; + + if (fe.reference_cell() == ReferenceCells::Tetrahedron) + { + ref_case_start = + static_cast(IsotropicRefinementChoice::cut_tet_68); + ref_case_end = + static_cast(IsotropicRefinementChoice::cut_tet_49); + } + else + { + ref_case_start = isotropic_only ? + RefinementCase::isotropic_refinement : + RefinementCase::cut_x; + ref_case_end = RefinementCase::isotropic_refinement; + } + for (unsigned int ref_case = ref_case_start; ref_case <= ref_case_end; ++ref_case) task_group += Threads::new_task( &internal::FEToolsComputeEmbeddingMatricesHelper:: @@ -2169,7 +2189,7 @@ namespace FETools const FullMatrix &inverse_mass_matrix, std::vector> &matrices) { const unsigned int nc = - GeometryInfo::n_children(RefinementCase(ref_case)); + reference_cell.n_children(RefinementCase(ref_case)); for (unsigned int i = 0; i < nc; ++i) { @@ -2182,7 +2202,15 @@ namespace FETools // create a respective refinement on the triangulation Triangulation tr; GridGenerator::reference_cell(tr, reference_cell); - tr.begin_active()->set_refine_flag(RefinementCase(ref_case)); + + if (reference_cell == ReferenceCells::Tetrahedron) + { + tr.begin_active()->set_refine_flag( + RefinementCase::isotropic_refinement); + tr.begin_active()->set_refine_choice(ref_case); + } + else + tr.begin_active()->set_refine_flag(RefinementCase(ref_case)); tr.execute_coarsening_and_refinement(); FEValues fine(mapping, @@ -2267,10 +2295,22 @@ namespace FETools // finally loop over all possible refinement cases Threads::TaskGroup<> tasks; - for (unsigned int ref_case = - (isotropic_only ? RefinementCase::isotropic_refinement : - RefinementCase::cut_x); - ref_case <= RefinementCase::isotropic_refinement; + unsigned int ref_case_start, ref_case_end; + if (reference_cell == ReferenceCells::Tetrahedron) + { + ref_case_start = + static_cast(IsotropicRefinementChoice::cut_tet_68); + ref_case_end = + static_cast(IsotropicRefinementChoice::cut_tet_49); + } + else + { + ref_case_start = + (isotropic_only ? RefinementCase::isotropic_refinement : + RefinementCase::cut_x); + ref_case_end = RefinementCase::isotropic_refinement; + } + for (unsigned int ref_case = ref_case_start; ref_case <= ref_case_end; ++ref_case) tasks += Threads::new_task([&, ref_case]() { compute_one_case(ref_case, mass, matrices[ref_case - 1]); diff --git a/include/deal.II/grid/reference_cell.h b/include/deal.II/grid/reference_cell.h index 803a5a00fb..35c5a2f048 100644 --- a/include/deal.II/grid/reference_cell.h +++ b/include/deal.II/grid/reference_cell.h @@ -65,6 +65,34 @@ namespace internal +/** + * Enum of different choices for istropic refinement. + * There are 3 different ways to refine a tetrahedral, here we save the + * different possibilites. It is different to RefinementPossibilites are these + * are options in the case that an isotropic refinement is conducted. + */ +enum class IsotropicRefinementChoice : std::uint8_t +{ + /** + * Decide where to perform a cut based on the shortest edge length. + */ + isotropic_refinement = 0, + /** + * Perform a cut in the along the edge (6,8). + */ + cut_tet_68 = 1, + /** + * Perform a cut in the along the edge (5,7). + */ + cut_tet_57 = 2, + /** + * Perform a cut in the along the edge (4,9). + */ + cut_tet_49 = 3, +}; + + + /** * A type that describes the kinds of reference cells that can be * used. This includes quadrilaterals and hexahedra (i.e., @@ -305,6 +333,18 @@ public: std_cxx20::ranges::iota_view face_indices() const; + /** + * Return the number of refinement directions of the cell. + */ + unsigned int + n_isotropic_refinement_choices() const; + + /** + * Return the refinement possibility @p ref_choice. + */ + IsotropicRefinementChoice + get_isotropic_refinement_choice(const unsigned int ref_choice) const; + /** * Return the number of cells one would get by isotropically * refining the current cell. Here, "isotropic refinement" @@ -319,6 +359,15 @@ public: unsigned int n_isotropic_children() const; + /** + * Return the number of cells one would get by refining the + * current cell with the given refinement case. + */ + template + unsigned int + n_children(const RefinementCase ref_case = + RefinementCase::isotropic_refinement) const; + /** * Return an object that can be thought of as an array containing all * indices from zero to n_isotropic_children(). @@ -725,6 +774,35 @@ public: ArrayView faces_for_given_vertex(const unsigned int vertex_index) const; + /** + * Return a vector of line indices for all new faces required for isotropic + * refinement. + */ + constexpr dealii::ndarray + new_isotropic_child_face_lines(const unsigned int refinement_choice) const; + + /** + * Return a vector of vertex indices for all new face lines required for + * isotropic refinement. + */ + constexpr dealii::ndarray + new_isotropic_child_face_line_vertices( + const unsigned int refinement_choice) const; + + /** + * Return a vector of face indices for all new cells required for isotropic + * refinement. + */ + constexpr dealii::ndarray + new_isotropic_child_cell_faces(const unsigned int refinement_choice) const; + + /** + * Return a vector of vertex indices for all new cells required for isotropic + * refinement. + */ + constexpr dealii::ndarray + new_isotropic_child_cell_vertices(const unsigned int refinement_choice) const; + /** * @} */ @@ -1115,6 +1193,280 @@ ReferenceCell::faces_for_given_vertex(const unsigned int vertex) const } +constexpr dealii::ndarray +ReferenceCell::new_isotropic_child_face_lines( + const unsigned int refienement_choice) const +{ + // AssertIndexRange(refienement_choice, n_isotropic_refinement_choices()); + const unsigned int X = numbers::invalid_unsigned_int; + switch (this->kind) + { + case ReferenceCells::Tetrahedron: + { + constexpr dealii::ndarray new_quad_lines_tet = + {{// new line is (6,8) + {{{{2, 3, 8, X}}, + {{0, 9, 5, X}}, + {{1, 6, 11, X}}, + {{4, 10, 7, X}}, + {{2, 12, 5, X}}, + {{1, 9, 12, X}}, + {{4, 8, 12, X}}, + {{6, 12, 10, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}}}, + // new line is (5,7) + {{{{2, 3, 8, X}}, + {{0, 9, 5, X}}, + {{1, 6, 11, X}}, + {{4, 10, 7, X}}, + {{0, 3, 12, X}}, + {{1, 12, 8, X}}, + {{4, 12, 9, X}}, + {{7, 11, 12, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}}}, + // new line is (4,9) + {{{{2, 3, 8, X}}, + {{0, 9, 5, X}}, + {{1, 6, 11, X}}, + {{4, 10, 7, X}}, + {{0, 12, 11, X}}, + {{2, 6, 12, X}}, + {{3, 12, 7, X}}, + {{5, 10, 12, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}, + {{X, X, X, X}}}}}}; + return new_quad_lines_tet[refienement_choice]; + } + + case ReferenceCells::Hexahedron: + { + constexpr dealii::ndarray new_quad_lines_hex = { + {{{10, 28, 16, 24}}, + {{28, 14, 17, 25}}, + {{11, 29, 24, 20}}, + {{29, 15, 25, 21}}, + {{18, 26, 0, 28}}, + {{26, 22, 1, 29}}, + {{19, 27, 28, 4}}, + {{27, 23, 29, 5}}, + {{2, 24, 8, 26}}, + {{24, 6, 9, 27}}, + {{3, 25, 26, 12}}, + {{25, 7, 27, 13}}}}; + return new_quad_lines_hex; + } + default: + DEAL_II_NOT_IMPLEMENTED(); + } + + return {}; +} + + + +constexpr dealii::ndarray +ReferenceCell::new_isotropic_child_face_line_vertices( + const unsigned int refienement_choice) const +{ + // AssertIndexRange(refienement_choice, n_isotropic_refinement_choices()); + const unsigned int X = numbers::invalid_unsigned_int; + switch (this->kind) + { + case ReferenceCells::Tetrahedron: + { + constexpr dealii::ndarray table_tet = { + {// new line is (6, 8) + {{{{{{6, 4}}, {{4, 7}}, {{7, 6}}, {{X, X}}}}, + {{{{4, 5}}, {{5, 8}}, {{8, 4}}, {{X, X}}}}, + {{{{5, 6}}, {{6, 9}}, {{9, 5}}, {{X, X}}}}, + {{{{7, 8}}, {{8, 9}}, {{9, 7}}, {{X, X}}}}, + {{{{4, 6}}, {{6, 8}}, {{8, 4}}, {{X, X}}}}, + {{{{6, 5}}, {{5, 8}}, {{8, 6}}, {{X, X}}}}, + {{{{8, 7}}, {{7, 6}}, {{6, 8}}, {{X, X}}}}, + {{{{9, 6}}, {{6, 8}}, {{8, 9}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}}}, + // new line is (5, 7) + {{{{{{6, 4}}, {{4, 7}}, {{7, 6}}, {{X, X}}}}, + {{{{4, 5}}, {{5, 8}}, {{8, 4}}, {{X, X}}}}, + {{{{5, 6}}, {{6, 9}}, {{9, 5}}, {{X, X}}}}, + {{{{7, 8}}, {{8, 9}}, {{9, 7}}, {{X, X}}}}, + {{{{5, 4}}, {{4, 7}}, {{7, 5}}, {{X, X}}}}, + {{{{6, 5}}, {{5, 7}}, {{7, 6}}, {{X, X}}}}, + {{{{8, 7}}, {{7, 5}}, {{5, 8}}, {{X, X}}}}, + {{{{7, 9}}, {{9, 5}}, {{5, 7}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}}}, + // new line is (4, 9) + {{{{{{6, 4}}, {{4, 7}}, {{7, 6}}, {{X, X}}}}, + {{{{4, 5}}, {{5, 8}}, {{8, 4}}, {{X, X}}}}, + {{{{5, 6}}, {{6, 9}}, {{9, 5}}, {{X, X}}}}, + {{{{7, 8}}, {{8, 9}}, {{9, 7}}, {{X, X}}}}, + {{{{5, 4}}, {{4, 9}}, {{9, 5}}, {{X, X}}}}, + {{{{4, 6}}, {{6, 9}}, {{9, 4}}, {{X, X}}}}, + {{{{7, 4}}, {{4, 9}}, {{9, 7}}, {{X, X}}}}, + {{{{4, 8}}, {{8, 9}}, {{9, 4}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, + {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}}}}}; + return table_tet[refienement_choice]; + } + + case ReferenceCells::Hexahedron: + { + constexpr dealii::ndarray table_hex = { + {{{{{10, 22}}, {{24, 26}}, {{10, 24}}, {{22, 26}}}}, + {{{{24, 26}}, {{11, 23}}, {{24, 11}}, {{26, 23}}}}, + {{{{22, 14}}, {{26, 25}}, {{22, 26}}, {{14, 25}}}}, + {{{{26, 25}}, {{23, 15}}, {{26, 23}}, {{25, 15}}}}, + {{{{8, 24}}, {{20, 26}}, {{8, 20}}, {{24, 26}}}}, + {{{{20, 26}}, {{12, 25}}, {{20, 12}}, {{26, 25}}}}, + {{{{24, 9}}, {{26, 21}}, {{24, 26}}, {{9, 21}}}}, + {{{{26, 21}}, {{25, 13}}, {{26, 25}}, {{21, 13}}}}, + {{{{16, 20}}, {{22, 26}}, {{16, 22}}, {{20, 26}}}}, + {{{{22, 26}}, {{17, 21}}, {{22, 17}}, {{26, 21}}}}, + {{{{20, 18}}, {{26, 23}}, {{20, 26}}, {{18, 23}}}}, + {{{{26, 23}}, {{21, 19}}, {{26, 21}}, {{23, 19}}}}}}; + return table_hex; + } + default: + DEAL_II_NOT_IMPLEMENTED(); + } + + return {}; +} + + + +constexpr dealii::ndarray +ReferenceCell::new_isotropic_child_cell_faces( + const unsigned int refienement_choice) const +{ + // AssertIndexRange(refienement_choice, n_isotropic_refinement_choices()); + const unsigned int X = numbers::invalid_unsigned_int; + switch (this->kind) + { + case ReferenceCells::Tetrahedron: + { + constexpr dealii::ndarray cell_quads_tet = { + {// new line is (6, 8) + {{{{8, 13, 16, 0, X, X}}, + {{9, 12, 1, 21, X, X}}, + {{10, 2, 17, 20, X, X}}, + {{3, 14, 18, 22, X, X}}, + {{11, 1, 4, 5, X, X}}, + {{15, 0, 4, 6, X, X}}, + {{19, 7, 6, 3, X, X}}, + {{23, 5, 2, 7, X, X}}}}, + // new line is (5, 7) + {{ + {{8, 13, 16, 0, X, X}}, + {{9, 12, 1, 21, X, X}}, + {{10, 2, 17, 20, X, X}}, + {{3, 14, 18, 22, X, X}}, + {{11, 4, 0, 5, X, X}}, + {{15, 4, 1, 6, X, X}}, + {{19, 2, 5, 7, X, X}}, + {{23, 6, 7, 3, X, X}}, + }}, + // new line is (4, 9) + {{ + {{8, 13, 16, 0, X, X}}, + {{9, 12, 1, 21, X, X}}, + {{10, 2, 17, 20, X, X}}, + {{3, 14, 18, 22, X, X}}, + {{11, 4, 5, 2, X, X}}, + {{15, 6, 7, 3, X, X}}, + {{19, 5, 0, 6, X, X}}, + {{23, 1, 4, 7, X, X}}, + }}}}; + return cell_quads_tet[refienement_choice]; + } + + case ReferenceCells::Hexahedron: + { + constexpr dealii::ndarray cell_quads_hex = {{ + {{12, 0, 20, 4, 28, 8}}, // bottom children + {{0, 16, 22, 6, 29, 9}}, // + {{13, 1, 4, 24, 30, 10}}, // + {{1, 17, 6, 26, 31, 11}}, // + {{14, 2, 21, 5, 8, 32}}, // top children + {{2, 18, 23, 7, 9, 33}}, // + {{15, 3, 5, 25, 10, 34}}, // + {{3, 19, 7, 27, 11, 35}} // + }}; + return cell_quads_hex; + } + default: + DEAL_II_NOT_IMPLEMENTED(); + } + + return {}; +} + + + +constexpr dealii::ndarray +ReferenceCell::new_isotropic_child_cell_vertices( + const unsigned int refienement_choice) const +{ + // AssertIndexRange(refienement_choice, n_isotropic_refinement_choices()); + + switch (this->kind) + { + case ReferenceCells::Tetrahedron: + { + constexpr dealii::ndarray cell_vertices_tet = { + {// new line is (6,8) + {{{{0, 4, 6, 7}}, + {{4, 1, 5, 8}}, + {{6, 5, 2, 9}}, + {{7, 8, 9, 3}}, + {{4, 5, 6, 8}}, + {{4, 7, 8, 6}}, + {{6, 9, 7, 8}}, + {{5, 8, 9, 6}}}}, + // new line is (5,7) + {{{{0, 4, 6, 7}}, + {{4, 1, 5, 8}}, + {{6, 5, 2, 9}}, + {{7, 8, 9, 3}}, + {{4, 5, 6, 7}}, + {{4, 7, 8, 5}}, + {{6, 9, 7, 5}}, + {{5, 8, 9, 7}}}}, + // new line is (4,9) + {{{{0, 4, 6, 7}}, + {{4, 1, 5, 8}}, + {{6, 5, 2, 9}}, + {{7, 8, 9, 3}}, + {{4, 5, 6, 9}}, + {{4, 7, 8, 9}}, + {{6, 9, 7, 4}}, + {{5, 8, 9, 4}}}}}}; + return cell_vertices_tet[refienement_choice]; + } + default: + DEAL_II_NOT_IMPLEMENTED(); + } + + return {}; +} + + inline bool ReferenceCell::is_hyper_cube() const @@ -1390,6 +1742,62 @@ ReferenceCell::face_indices() const +inline unsigned int +ReferenceCell::n_isotropic_refinement_choices() const +{ + switch (this->kind) + { + case ReferenceCells::Vertex: + return 1; + case ReferenceCells::Line: + return 1; + case ReferenceCells::Triangle: + return 1; + case ReferenceCells::Quadrilateral: + return 1; + case ReferenceCells::Tetrahedron: + return 3; + case ReferenceCells::Pyramid: + return 1; + case ReferenceCells::Wedge: + return 1; + case ReferenceCells::Hexahedron: + return 1; + default: + DEAL_II_ASSERT_UNREACHABLE(); + } + + return numbers::invalid_unsigned_int; +} + + + +inline IsotropicRefinementChoice +ReferenceCell::get_isotropic_refinement_choice( + const unsigned int ref_choice) const +{ + AssertIndexRange(ref_choice, n_isotropic_refinement_choices()); + switch (this->kind) + { + case ReferenceCells::Tetrahedron: + { + static constexpr ndarray + isotropic_ref_choices = {{IsotropicRefinementChoice::cut_tet_68, + IsotropicRefinementChoice::cut_tet_57, + IsotropicRefinementChoice::cut_tet_49}}; + return isotropic_ref_choices[ref_choice]; + } + default: + { + DEAL_II_NOT_IMPLEMENTED(); + } + } + + return IsotropicRefinementChoice::isotropic_refinement; +} + + + inline unsigned int ReferenceCell::n_isotropic_children() const { @@ -1408,14 +1816,13 @@ ReferenceCell::n_isotropic_children() const case ReferenceCells::Pyramid: // We haven't yet decided how to refine pyramids. Update this when we // have - DEAL_II_NOT_IMPLEMENTED(); - return numbers::invalid_unsigned_int; + return 0; case ReferenceCells::Wedge: return 8; case ReferenceCells::Hexahedron: return 8; default: - DEAL_II_NOT_IMPLEMENTED(); + DEAL_II_ASSERT_UNREACHABLE(); } return numbers::invalid_unsigned_int; @@ -1423,6 +1830,19 @@ ReferenceCell::n_isotropic_children() const +template +unsigned int +ReferenceCell::n_children(const RefinementCase ref_case) const +{ + // Use GeometryInfo here to keep it the single source of truth + if (this->is_hyper_cube()) + return GeometryInfo::n_children(ref_case); + else + return this->n_isotropic_children(); +} + + + inline std_cxx20::ranges::iota_view ReferenceCell::isotropic_child_indices() const { diff --git a/include/deal.II/grid/tria_accessor.h b/include/deal.II/grid/tria_accessor.h index 1b783c7d26..b8f7dc8e46 100644 --- a/include/deal.II/grid/tria_accessor.h +++ b/include/deal.II/grid/tria_accessor.h @@ -3630,6 +3630,27 @@ public: void clear_refine_flag() const; + /** + * Return the @p IsotropicRefinementChoices this cell was flagged to be refined + * with. + */ + std::uint8_t + refine_choice() const; + + /** + * Set the @p IsotropicRefinementChoices this cell is flagged to be refined + * with. + */ + void + set_refine_choice(const std::uint8_t refinement_choice = static_cast( + IsotropicRefinementChoice::isotropic_refinement)) const; + + /** + * Clear the @p IsotropicRefinementChoices flag. + */ + void + clear_refine_choice() const; + /** * Modify the refinement flag of the cell to ensure (at least) the given * refinement case @p face_refinement_case at face face_no, taking diff --git a/include/deal.II/grid/tria_accessor.templates.h b/include/deal.II/grid/tria_accessor.templates.h index 6fd99cee44..b355a63752 100644 --- a/include/deal.II/grid/tria_accessor.templates.h +++ b/include/deal.II/grid/tria_accessor.templates.h @@ -1735,7 +1735,14 @@ template inline unsigned int TriaAccessor::n_children() const { - return GeometryInfo::n_children(refinement_case()); + Assert(this->state() == IteratorState::valid, + TriaAccessorExceptions::ExcDereferenceInvalidObject( + *this)); + if (reference_cell() == ReferenceCells::Tetrahedron) + return GeometryInfo::n_children( + RefinementCase::isotropic_refinement); + else + return GeometryInfo::n_children(refinement_case()); } @@ -3643,6 +3650,41 @@ CellAccessor::clear_refine_flag() const } +template +inline std::uint8_t +CellAccessor::refine_choice() const +{ + Assert(this->used(), TriaAccessorExceptions::ExcCellNotUsed()); + if (this->tria->levels[this->present_level]->refine_choice.size() == 0) + return 0U; + return this->tria->levels[this->present_level] + ->refine_choice[this->present_index]; +} + + +template +inline void +CellAccessor::set_refine_choice( + const std::uint8_t refinement_choice) const +{ + Assert(this->used() && this->is_active(), ExcRefineCellNotActive()); + if (this->tria->levels[this->present_level]->refine_choice.size() != 0) + this->tria->levels[this->present_level] + ->refine_choice[this->present_index] = refinement_choice; +} + + +template +inline void +CellAccessor::clear_refine_choice() const +{ + Assert(this->used() && this->is_active(), ExcRefineCellNotActive()); + if (this->tria->levels[this->present_level]->refine_choice.size() != 0) + this->tria->levels[this->present_level] + ->refine_choice[this->present_index] = + static_cast(IsotropicRefinementChoice::isotropic_refinement); +} + template inline bool diff --git a/include/deal.II/grid/tria_levels.h b/include/deal.II/grid/tria_levels.h index 96384a48e9..468820f8c0 100644 --- a/include/deal.II/grid/tria_levels.h +++ b/include/deal.II/grid/tria_levels.h @@ -88,6 +88,13 @@ namespace internal */ std::vector refine_flags; + /** + * @p IsotropicRefinementChoices direction for the tetrahedral cells to be + * refined with + * or choose the optimal way @p ReferenceCell::isotropic_refinement. + */ + std::vector refine_choice; + /** * Same meaning as the one above, but specifies whether a cell must be * coarsened. diff --git a/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h b/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h index a0e12f38a1..35f8bb1714 100644 --- a/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h +++ b/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h @@ -376,14 +376,16 @@ namespace internal template FullMatrix - get_restriction_matrix(const FiniteElement &fe, - const unsigned int child) + get_restriction_matrix( + const FiniteElement &fe, + const unsigned int child, + RefinementCase ref_case = RefinementCase::isotropic_refinement) { - auto matrix = fe.get_restriction_matrix(child); + auto matrix = fe.get_restriction_matrix(child, ref_case); for (unsigned int c_other = 0; c_other < child; ++c_other) { - auto matrix_other = fe.get_restriction_matrix(c_other); + auto matrix_other = fe.get_restriction_matrix(c_other, ref_case); for (unsigned int i = 0; i < fe.n_dofs_per_cell(); ++i) { if (fe.restriction_is_additive(i) == true) @@ -1973,13 +1975,20 @@ namespace internal for (unsigned int c = 0; c < GeometryInfo::max_children_per_cell; ++c) - for (unsigned int i = 0; i < n_dofs_per_cell; ++i) - for (unsigned int j = 0; j < n_dofs_per_cell; ++j) - transfer.schemes[1].prolongation_matrix - [i * n_dofs_per_cell * - GeometryInfo::max_children_per_cell + - j + c * n_dofs_per_cell] = - fe.get_prolongation_matrix(c)(j, i); + { + const auto matrix = + reference_cell == ReferenceCells::Tetrahedron ? + fe.get_prolongation_matrix(c, RefinementCase(1)) : + fe.get_prolongation_matrix(c); + + + for (unsigned int i = 0; i < n_dofs_per_cell; ++i) + for (unsigned int j = 0; j < n_dofs_per_cell; ++j) + transfer.schemes[1].prolongation_matrix + [i * n_dofs_per_cell * + GeometryInfo::max_children_per_cell + + j + c * n_dofs_per_cell] = matrix(j, i); + } } { transfer.schemes[1].restriction_matrix.resize( @@ -1990,7 +1999,10 @@ namespace internal c < GeometryInfo::max_children_per_cell; ++c) { - const auto matrix = get_restriction_matrix(fe, c); + const auto matrix = + reference_cell == ReferenceCells::Tetrahedron ? + get_restriction_matrix(fe, c, RefinementCase(1)) : + get_restriction_matrix(fe, c); for (unsigned int i = 0; i < n_dofs_per_cell; ++i) for (unsigned int j = 0; j < n_dofs_per_cell; ++j) transfer.schemes[1].restriction_matrix diff --git a/source/fe/fe.cc b/source/fe/fe.cc index a114eff2f7..b8785c5ce5 100644 --- a/source/fe/fe.cc +++ b/source/fe/fe.cc @@ -139,10 +139,10 @@ FiniteElement::FiniteElement( RefinementCase::all_refinement_cases()) if (ref_case != RefinementCase::no_refinement) { - prolongation[ref_case - 1].resize(GeometryInfo::n_children( + prolongation[ref_case - 1].resize(this->reference_cell().n_children( RefinementCase(ref_case)), FullMatrix()); - restriction[ref_case - 1].resize(GeometryInfo::n_children( + restriction[ref_case - 1].resize(this->reference_cell().n_children( RefinementCase(ref_case)), FullMatrix()); } @@ -305,7 +305,7 @@ FiniteElement::reinit_restriction_and_prolongation_matrices( if (ref_case != RefinementCase::no_refinement) { const unsigned int nc = - GeometryInfo::n_children(RefinementCase(ref_case)); + this->reference_cell().n_children(RefinementCase(ref_case)); for (unsigned int i = 0; i < nc; ++i) { @@ -337,8 +337,9 @@ FiniteElement::get_restriction_matrix( Assert(refinement_case != RefinementCase::no_refinement, ExcMessage( "Restriction matrices are only available for refined cells!")); - AssertIndexRange( - child, GeometryInfo::n_children(RefinementCase(refinement_case))); + AssertIndexRange(child, + this->reference_cell().n_children( + RefinementCase(refinement_case))); // we use refinement_case-1 here. the -1 takes care of the origin of the // vector, as for RefinementCase::no_refinement (=0) there is no data // available and so the vector indices are shifted @@ -360,8 +361,9 @@ FiniteElement::get_prolongation_matrix( Assert(refinement_case != RefinementCase::no_refinement, ExcMessage( "Prolongation matrices are only available for refined cells!")); - AssertIndexRange( - child, GeometryInfo::n_children(RefinementCase(refinement_case))); + AssertIndexRange(child, + this->reference_cell().n_children( + RefinementCase(refinement_case))); // we use refinement_case-1 here. the -1 takes care // of the origin of the vector, as for // RefinementCase::no_refinement (=0) there is no @@ -703,7 +705,7 @@ FiniteElement::prolongation_is_implemented() const RefinementCase::all_refinement_cases()) if (ref_case != RefinementCase::no_refinement) for (unsigned int c = 0; - c < GeometryInfo::n_children(RefinementCase(ref_case)); + c < this->reference_cell().n_children(RefinementCase(ref_case)); ++c) { // make sure also the lazily initialized matrices are created @@ -733,7 +735,7 @@ FiniteElement::restriction_is_implemented() const RefinementCase::all_refinement_cases()) if (ref_case != RefinementCase::no_refinement) for (unsigned int c = 0; - c < GeometryInfo::n_children(RefinementCase(ref_case)); + c < this->reference_cell().n_children(RefinementCase(ref_case)); ++c) { // make sure also the lazily initialized matrices are created @@ -763,7 +765,7 @@ FiniteElement::isotropic_prolongation_is_implemented() const RefinementCase::isotropic_refinement; for (unsigned int c = 0; - c < GeometryInfo::n_children(RefinementCase(ref_case)); + c < this->reference_cell().n_children(RefinementCase(ref_case)); ++c) { // make sure also the lazily initialized matrices are created @@ -791,7 +793,7 @@ FiniteElement::isotropic_restriction_is_implemented() const RefinementCase::isotropic_refinement; for (unsigned int c = 0; - c < GeometryInfo::n_children(RefinementCase(ref_case)); + c < this->reference_cell().n_children(RefinementCase(ref_case)); ++c) { // make sure also the lazily initialized matrices are created diff --git a/source/fe/fe_simplex_p.cc b/source/fe/fe_simplex_p.cc index 4e342f3453..3586bb8ee4 100644 --- a/source/fe/fe_simplex_p.cc +++ b/source/fe/fe_simplex_p.cc @@ -22,6 +22,9 @@ #include #include #include +#include + +#include DEAL_II_NAMESPACE_OPEN @@ -323,13 +326,14 @@ template FE_SimplexPoly::FE_SimplexPoly( const BarycentricPolynomials polynomials, const FiniteElementData &fe_data, + const bool prolongation_is_additive, const std::vector> &unit_support_points, const std::vector>> unit_face_support_points, const FullMatrix &interface_constraints) : dealii::FE_Poly( polynomials, fe_data, - std::vector(fe_data.dofs_per_cell), + std::vector(fe_data.dofs_per_cell, prolongation_is_additive), std::vector(fe_data.dofs_per_cell, ComponentMask(std::vector(1, true)))) { @@ -358,8 +362,21 @@ FE_SimplexPoly::get_prolongation_matrix( const unsigned int child, const RefinementCase &refinement_case) const { - Assert(refinement_case == RefinementCase::isotropic_refinement, - ExcNotImplemented()); + if (dim == 3) + Assert(RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_68)) || + RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_57)) || + RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_49)), + ExcNotImplemented()); + else + Assert(refinement_case == + RefinementCase(RefinementCase::isotropic_refinement), + ExcNotImplemented()); AssertDimension(dim, spacedim); // initialization upon first request @@ -376,16 +393,41 @@ FE_SimplexPoly::get_prolongation_matrix( // be able to modify them inside a const function auto &this_nonconst = const_cast &>(*this); - std::vector>> isotropic_matrices( - RefinementCase::isotropic_refinement); - isotropic_matrices.back().resize( - GeometryInfo::n_children(RefinementCase(refinement_case)), - FullMatrix(this->n_dofs_per_cell(), this->n_dofs_per_cell())); - - FETools::compute_embedding_matrices(*this, isotropic_matrices, true); - - this_nonconst.prolongation[refinement_case - 1] = - std::move(isotropic_matrices.back()); + if (dim == 2) + { + std::vector>> isotropic_matrices( + RefinementCase::isotropic_refinement); + isotropic_matrices.back().resize( + this->reference_cell().n_children( + RefinementCase(refinement_case)), + FullMatrix(this->n_dofs_per_cell(), + this->n_dofs_per_cell())); + + FETools::compute_embedding_matrices(*this, isotropic_matrices, true); + + this_nonconst.prolongation[refinement_case - 1] = + std::move(isotropic_matrices.back()); + } + else if (dim == 3) + { + std::vector>> matrices( + static_cast(IsotropicRefinementChoice::cut_tet_49), + std::vector>( + this->reference_cell().n_children( + RefinementCase(refinement_case)), + FullMatrix(this->n_dofs_per_cell(), + this->n_dofs_per_cell()))); + FETools::compute_embedding_matrices(*this, matrices, true); + for (unsigned int refinement_direction = static_cast( + IsotropicRefinementChoice::cut_tet_68); + refinement_direction <= + static_cast(IsotropicRefinementChoice::cut_tet_49); + refinement_direction++) + this_nonconst.prolongation[refinement_direction - 1] = + std::move(matrices[refinement_direction - 1]); + } + else + DEAL_II_ASSERT_UNREACHABLE(); } // finally return the matrix @@ -400,8 +442,20 @@ FE_SimplexPoly::get_restriction_matrix( const unsigned int child, const RefinementCase &refinement_case) const { - Assert(refinement_case == RefinementCase::isotropic_refinement, - ExcNotImplemented()); + if (dim == 3) + Assert(RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_68)) || + RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_57)) || + RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_49)), + ExcNotImplemented()); + else + Assert(refinement_case == RefinementCase::isotropic_refinement, + ExcNotImplemented()); AssertDimension(dim, spacedim); // initialization upon first request @@ -414,20 +468,91 @@ FE_SimplexPoly::get_restriction_matrix( this->n_dofs_per_cell()) return this->restriction[refinement_case - 1][child]; - // now do the work. need to get a non-const version of data in order to - // be able to modify them inside a const function - auto &this_nonconst = const_cast &>(*this); - - std::vector>> isotropic_matrices( + // get the restriction matrix + // Refine a unit cell. As the parent cell is a unit + // cell, the reference cell of the children equals the parent, i.e. they + // have the support points at the same locations. So we just have to check + // if a support point of the parent is one of the interpolation points of + // the child. If this is not the case we find the interpolation of the + // point. + + const double eps = 1e-12; + FullMatrix restriction_mat(this->n_dofs_per_cell(), + this->n_dofs_per_cell()); + + // first get all support points on the reference cell + const std::vector> unit_support_points = + this->get_unit_support_points(); + + // now create children on the reference cell + Triangulation tria; + GridGenerator::reference_cell(tria, this->reference_cell()); + tria.begin_active()->set_refine_flag( RefinementCase::isotropic_refinement); - isotropic_matrices.back().resize( - GeometryInfo::n_children(RefinementCase(refinement_case)), - FullMatrix(this->n_dofs_per_cell(), this->n_dofs_per_cell())); + if (dim == 3) + tria.begin_active()->set_refine_choice(refinement_case); + tria.execute_coarsening_and_refinement(); + + const auto &child_cell = tria.begin(0)->child(child); - FETools::compute_projection_matrices(*this, isotropic_matrices, true); + const auto &mapping = + this->reference_cell() + .template get_default_linear_mapping(); - this_nonconst.restriction[refinement_case - 1] = - std::move(isotropic_matrices.back()); + // iterate over all support points and transfom them to the unit cell of + // the child + for (unsigned int i = 0; i < unit_support_points.size(); i++) + { + std::vector> transformed_point(1); + const std::vector> unit_support_point = { + dim == 2 ? Point(unit_support_points[i][0], + unit_support_points[i][1]) : + Point(unit_support_points[i][0], + unit_support_points[i][1], + unit_support_points[i][2])}; + mapping.transform_points_real_to_unit_cell( + child_cell, + make_array_view(unit_support_point), + make_array_view(transformed_point)); + + // if point is inside the unit cell iterate over all shape functions + if (this->reference_cell().contains_point(transformed_point[0], eps)) + for (unsigned int j = 0; j < this->n_dofs_per_cell(); j++) + restriction_mat[i][j] = + this->shape_value(j, transformed_point[0]); + } +#ifdef DEBUG + for (unsigned int i = 0; i < this->n_dofs_per_cell(); i++) + { + double sum = 0.; + + for (unsigned int j = 0; j < this->n_dofs_per_cell(); j++) + sum += restriction_mat[i][j]; + + Assert(std::fabs(sum - 1) < eps || std::fabs(sum) < eps, + ExcInternalError( + "The entries in a row of the local " + "restriction matrix do not add to zero or one. " + "This typically indicates that the " + "polynomial interpolation is " + "ill-conditioned such that round-off " + "prevents the sum to be one.")); + } +#endif + + // Remove small entries from the matrix + for (unsigned int i = 0; i < restriction_mat.m(); ++i) + for (unsigned int j = 0; j < restriction_mat.n(); ++j) + { + if (std::fabs(restriction_mat(i, j)) < eps) + restriction_mat(i, j) = 0.; + if (std::fabs(restriction_mat(i, j) - 1) < eps) + restriction_mat(i, j) = 1.; + } + + const_cast &>( + this->restriction[refinement_case - 1][child]) = + std::move(restriction_mat); } // finally return the matrix @@ -619,6 +744,7 @@ FE_SimplexP::FE_SimplexP(const unsigned int degree) 1, degree, FiniteElementData::H1), + false, unit_support_points_fe_p(degree), unit_face_support_points_fe_p(degree, FiniteElementData::H1), constraints_fe_p(degree)) @@ -873,6 +999,7 @@ FE_SimplexDGP::FE_SimplexDGP(const unsigned int degree) 1, degree, FiniteElementData::L2), + true, unit_support_points_fe_p(degree), unit_face_support_points_fe_p(degree, FiniteElementData::L2), constraints_fe_p(degree)) @@ -979,6 +1106,85 @@ FE_SimplexDGP::hp_line_dof_identities( return {}; } + + +template +const FullMatrix & +FE_SimplexDGP::get_restriction_matrix( + const unsigned int child, + const RefinementCase &refinement_case) const +{ + if (dim == 3) + Assert(RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_68)) || + RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_57)) || + RefinementCase(refinement_case) == + RefinementCase( + static_cast(IsotropicRefinementChoice::cut_tet_49)), + ExcNotImplemented()); + else + Assert(refinement_case == RefinementCase::isotropic_refinement, + ExcNotImplemented()); + AssertDimension(dim, spacedim); + + // initialization upon first request + if (this->restriction[refinement_case - 1][child].n() == 0) + { + std::lock_guard lock(this->restriction_matrix_mutex); + + // if matrix got updated while waiting for the lock + if (this->restriction[refinement_case - 1][child].n() == + this->n_dofs_per_cell()) + return this->restriction[refinement_case - 1][child]; + + // now do the work. need to get a non-const version of data in order to + // be able to modify them inside a const function + auto &this_nonconst = const_cast &>(*this); + + if (dim == 2) + { + std::vector>> isotropic_matrices( + RefinementCase::isotropic_refinement); + isotropic_matrices.back().resize( + this->reference_cell().n_children( + RefinementCase(refinement_case)), + FullMatrix(this->n_dofs_per_cell(), + this->n_dofs_per_cell())); + + FETools::compute_projection_matrices(*this, isotropic_matrices, true); + + this_nonconst.restriction[refinement_case - 1] = + std::move(isotropic_matrices.back()); + } + else if (dim == 3) + { + std::vector>> matrices( + static_cast(IsotropicRefinementChoice::cut_tet_49), + std::vector>( + this->reference_cell().n_children( + RefinementCase(refinement_case)), + FullMatrix(this->n_dofs_per_cell(), + this->n_dofs_per_cell()))); + FETools::compute_projection_matrices(*this, matrices, true); + for (unsigned int refinement_direction = static_cast( + IsotropicRefinementChoice::cut_tet_68); + refinement_direction <= + static_cast(IsotropicRefinementChoice::cut_tet_49); + refinement_direction++) + this_nonconst.restriction[refinement_direction - 1] = + std::move(matrices[refinement_direction - 1]); + } + else + DEAL_II_ASSERT_UNREACHABLE(); + } + + // finally return the matrix + return this->restriction[refinement_case - 1][child]; +} + // explicit instantiations #include "fe_simplex_p.inst" diff --git a/source/fe/fe_simplex_p_bubbles.cc b/source/fe/fe_simplex_p_bubbles.cc index d06208ae33..98463d7ecc 100644 --- a/source/fe/fe_simplex_p_bubbles.cc +++ b/source/fe/fe_simplex_p_bubbles.cc @@ -267,6 +267,7 @@ FE_SimplexP_Bubbles::FE_SimplexP_Bubbles( : FE_SimplexPoly( FE_P_BubblesImplementation::get_basis(degree), FE_P_BubblesImplementation::get_fe_data(degree), + false, FE_P_BubblesImplementation::unit_support_points(degree), {FE_P_BubblesImplementation::unit_support_points(degree)}, // Interface constraints are not yet implemented diff --git a/source/fe/fe_system.cc b/source/fe/fe_system.cc index 76cd9def6d..d54003b608 100644 --- a/source/fe/fe_system.cc +++ b/source/fe/fe_system.cc @@ -892,7 +892,9 @@ FESystem::get_restriction_matrix( Assert(refinement_case != RefinementCase::no_refinement, ExcMessage( "Restriction matrices are only available for refined cells!")); - AssertIndexRange(child, GeometryInfo::n_children(refinement_case)); + AssertIndexRange(child, this->reference_cell().n_children(refinement_case)); + + // initialization upon first request if (this->restriction[refinement_case - 1][child].n() == 0) @@ -974,7 +976,7 @@ FESystem::get_prolongation_matrix( Assert(refinement_case != RefinementCase::no_refinement, ExcMessage( "Restriction matrices are only available for refined cells!")); - AssertIndexRange(child, GeometryInfo::n_children(refinement_case)); + AssertIndexRange(child, this->reference_cell().n_children(refinement_case)); // initialization upon first request, construction completely analogous to // restriction matrix diff --git a/source/grid/tria.cc b/source/grid/tria.cc index b56a89137f..e09bca6dc3 100644 --- a/source/grid/tria.cc +++ b/source/grid/tria.cc @@ -2076,7 +2076,8 @@ namespace internal reserve_space(TriaLevel &tria_level, const unsigned int total_cells, const unsigned int dimension, - const unsigned int space_dimension) + const unsigned int space_dimension, + const bool tetraheder_in_mesh = false) { // we need space for total_cells cells. Maybe we have more already // with those cells which are unused, so only allocate new space if @@ -2092,6 +2093,16 @@ namespace internal tria_level.refine_flags.size(), /*RefinementCase::no_refinement=*/0); + if (tetraheder_in_mesh) + { + tria_level.refine_choice.reserve(total_cells); + tria_level.refine_choice.insert( + tria_level.refine_choice.end(), + total_cells - tria_level.refine_choice.size(), + static_cast( + IsotropicRefinementChoice::isotropic_refinement)); + } + tria_level.coarsen_flags.reserve(total_cells); tria_level.coarsen_flags.insert(tria_level.coarsen_flags.end(), total_cells - @@ -3588,6 +3599,7 @@ namespace internal level.level_subdomain_ids.assign(size, 0); level.refine_flags.assign(size, 0u); + level.refine_choice.assign(size, 0u); level.coarsen_flags.assign(size, false); level.parents.assign((size + 1) / 2, -1); @@ -6016,10 +6028,18 @@ namespace internal triangulation.levels[level + 1]->cells.used.end(), true); - reserve_space(*triangulation.levels[level + 1], - used_cells + new_cells, - 3, - spacedim); + if (triangulation.all_reference_cells_are_hyper_cube()) + reserve_space(*triangulation.levels[level + 1], + used_cells + new_cells, + 3, + spacedim, + false); + else + reserve_space(*triangulation.levels[level + 1], + used_cells + new_cells, + 3, + spacedim, + true); reserve_space(triangulation.levels[level + 1]->cells, new_cells); } @@ -6666,23 +6686,65 @@ namespace internal static constexpr dealii::ndarray new_line_vertices = {{{{6, 8}}, {{5, 7}}, {{4, 9}}}}; - const auto &vertices = triangulation.get_vertices(); - double min_distance = - std::numeric_limits::infinity(); - for (unsigned int i = 0; i < new_line_vertices.size(); - ++i) + // choose line to cut either by refinement case or by + // shortest distance between edge midpoints + std::uint8_t refinement_choice = hex->refine_choice(); + if (refinement_choice == + static_cast( + IsotropicRefinementChoice::isotropic_refinement)) { - const double current_distance = - vertices[vertex_indices[new_line_vertices[i][0]]] - .distance( - vertices - [vertex_indices[new_line_vertices[i][1]]]); - if (current_distance < min_distance) + const auto &vertices = triangulation.get_vertices(); + double min_distance = + std::numeric_limits::infinity(); + for (unsigned int i = 0; i < new_line_vertices.size(); + ++i) { - chosen_line_tetrahedron = i; - min_distance = current_distance; + const double current_distance = + vertices + [vertex_indices[new_line_vertices[i][0]]] + .distance( + vertices[vertex_indices + [new_line_vertices[i][1]]]); + if (current_distance < min_distance) + { + chosen_line_tetrahedron = i; + min_distance = current_distance; + } } } + else if (refinement_choice == + static_cast( + IsotropicRefinementChoice::cut_tet_68)) + chosen_line_tetrahedron = 0; + else if (refinement_choice == + static_cast( + IsotropicRefinementChoice::cut_tet_57)) + chosen_line_tetrahedron = 1; + else if (refinement_choice == + static_cast( + IsotropicRefinementChoice::cut_tet_49)) + chosen_line_tetrahedron = 2; + else + DEAL_II_NOT_IMPLEMENTED(); + + switch (chosen_line_tetrahedron) + { + case 0: + hex->set_refinement_case( + RefinementCase(static_cast( + IsotropicRefinementChoice::cut_tet_68))); + break; + case 1: + hex->set_refinement_case( + RefinementCase(static_cast( + IsotropicRefinementChoice::cut_tet_57))); + break; + case 2: + hex->set_refinement_case( + RefinementCase(static_cast( + IsotropicRefinementChoice::cut_tet_49))); + break; + } new_lines[0]->set_bounding_object_indices( {vertex_indices @@ -6780,27 +6842,16 @@ namespace internal ++i) relevant_line_indices[i] = relevant_lines[i]->index(); - static constexpr dealii::ndarray - new_quad_lines_hex = {{{{10, 28, 16, 24}}, - {{28, 14, 17, 25}}, - {{11, 29, 24, 20}}, - {{29, 15, 25, 21}}, - {{18, 26, 0, 28}}, - {{26, 22, 1, 29}}, - {{19, 27, 28, 4}}, - {{27, 23, 29, 5}}, - {{2, 24, 8, 26}}, - {{24, 6, 9, 27}}, - {{3, 25, 26, 12}}, - {{25, 7, 27, 13}}}}; - - // It is easierst to start at table cell_vertices_tet, + // It is easierst to start at table cell_vertices, // there the vertices are listed which build up the // 8 child tets. To build the child tets, 8 new faces are // needed. The the vertices, which define the lines of these // new faces are listed in table_tet. Now only the // corresponding index of the lines and quads have to be // listed in new_quad_lines_tet and cell_quads_tet. + const auto &new_quad_lines = + hex->reference_cell().new_isotropic_child_face_lines( + chosen_line_tetrahedron); // The first 4 define the faces which cut off the // parent tetrahedron at the edges. the numbers are the @@ -6809,116 +6860,13 @@ namespace internal // of these contain line number 12. the ordering of the // faces is arbitrary, the ordering within the faces has to // follow the righthand convention for triangles - static constexpr dealii::ndarray - new_quad_lines_tet = {{// new line is (6,8) - {{{{2, 3, 8, X}}, - {{0, 9, 5, X}}, - {{1, 6, 11, X}}, - {{4, 10, 7, X}}, - {{2, 12, 5, X}}, - {{1, 9, 12, X}}, - {{4, 8, 12, X}}, - {{6, 12, 10, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}}}, - // new line is (5,7) - {{{{2, 3, 8, X}}, - {{0, 9, 5, X}}, - {{1, 6, 11, X}}, - {{4, 10, 7, X}}, - {{0, 3, 12, X}}, - {{1, 12, 8, X}}, - {{4, 12, 9, X}}, - {{7, 11, 12, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}}}, - // new line is (4,9) - {{{{2, 3, 8, X}}, - {{0, 9, 5, X}}, - {{1, 6, 11, X}}, - {{4, 10, 7, X}}, - {{0, 12, 11, X}}, - {{2, 6, 12, X}}, - {{3, 12, 7, X}}, - {{5, 10, 12, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}, - {{X, X, X, X}}}}}}; - - static constexpr dealii::ndarray - table_hex = { - {{{{{10, 22}}, {{24, 26}}, {{10, 24}}, {{22, 26}}}}, - {{{{24, 26}}, {{11, 23}}, {{24, 11}}, {{26, 23}}}}, - {{{{22, 14}}, {{26, 25}}, {{22, 26}}, {{14, 25}}}}, - {{{{26, 25}}, {{23, 15}}, {{26, 23}}, {{25, 15}}}}, - {{{{8, 24}}, {{20, 26}}, {{8, 20}}, {{24, 26}}}}, - {{{{20, 26}}, {{12, 25}}, {{20, 12}}, {{26, 25}}}}, - {{{{24, 9}}, {{26, 21}}, {{24, 26}}, {{9, 21}}}}, - {{{{26, 21}}, {{25, 13}}, {{26, 25}}, {{21, 13}}}}, - {{{{16, 20}}, {{22, 26}}, {{16, 22}}, {{20, 26}}}}, - {{{{22, 26}}, {{17, 21}}, {{22, 17}}, {{26, 21}}}}, - {{{{20, 18}}, {{26, 23}}, {{20, 26}}, {{18, 23}}}}, - {{{{26, 23}}, {{21, 19}}, {{26, 21}}, {{23, 19}}}}}}; - // The table defines the vertices of the lines above // see relevant_lines for mapping between line indices and // vertex numbering - static constexpr dealii::ndarray - table_tet = { - {// new line is (6, 8) - {{{{{{6, 4}}, {{4, 7}}, {{7, 6}}, {{X, X}}}}, - {{{{4, 5}}, {{5, 8}}, {{8, 4}}, {{X, X}}}}, - {{{{5, 6}}, {{6, 9}}, {{9, 5}}, {{X, X}}}}, - {{{{7, 8}}, {{8, 9}}, {{9, 7}}, {{X, X}}}}, - {{{{4, 6}}, {{6, 8}}, {{8, 4}}, {{X, X}}}}, - {{{{6, 5}}, {{5, 8}}, {{8, 6}}, {{X, X}}}}, - {{{{8, 7}}, {{7, 6}}, {{6, 8}}, {{X, X}}}}, - {{{{9, 6}}, {{6, 8}}, {{8, 9}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}}}, - // new line is (5, 7) - {{{{{{6, 4}}, {{4, 7}}, {{7, 6}}, {{X, X}}}}, - {{{{4, 5}}, {{5, 8}}, {{8, 4}}, {{X, X}}}}, - {{{{5, 6}}, {{6, 9}}, {{9, 5}}, {{X, X}}}}, - {{{{7, 8}}, {{8, 9}}, {{9, 7}}, {{X, X}}}}, - {{{{5, 4}}, {{4, 7}}, {{7, 5}}, {{X, X}}}}, - {{{{6, 5}}, {{5, 7}}, {{7, 6}}, {{X, X}}}}, - {{{{8, 7}}, {{7, 5}}, {{5, 8}}, {{X, X}}}}, - {{{{7, 9}}, {{9, 5}}, {{5, 7}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}}}, - // new line is (4, 9) - {{{{{{6, 4}}, {{4, 7}}, {{7, 6}}, {{X, X}}}}, - {{{{4, 5}}, {{5, 8}}, {{8, 4}}, {{X, X}}}}, - {{{{5, 6}}, {{6, 9}}, {{9, 5}}, {{X, X}}}}, - {{{{7, 8}}, {{8, 9}}, {{9, 7}}, {{X, X}}}}, - {{{{5, 4}}, {{4, 9}}, {{9, 5}}, {{X, X}}}}, - {{{{4, 6}}, {{6, 9}}, {{9, 4}}, {{X, X}}}}, - {{{{7, 4}}, {{4, 9}}, {{9, 7}}, {{X, X}}}}, - {{{{4, 8}}, {{8, 9}}, {{9, 4}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}, - {{{{X, X}}, {{X, X}}, {{X, X}}, {{X, X}}}}}}}}; - - const auto &new_quad_lines = - (reference_cell_type == ReferenceCells::Hexahedron) ? - new_quad_lines_hex : - new_quad_lines_tet[chosen_line_tetrahedron]; - const auto &table = - (reference_cell_type == ReferenceCells::Hexahedron) ? - table_hex : - table_tet[chosen_line_tetrahedron]; + hex->reference_cell() + .new_isotropic_child_face_line_vertices( + chosen_line_tetrahedron); static constexpr dealii::ndarray representative_lines{ @@ -7041,18 +6989,6 @@ namespace internal DEAL_II_NOT_IMPLEMENTED(); } - static constexpr dealii::ndarray - cell_quads_hex = {{ - {{12, 0, 20, 4, 28, 8}}, // bottom children - {{0, 16, 22, 6, 29, 9}}, // - {{13, 1, 4, 24, 30, 10}}, // - {{1, 17, 6, 26, 31, 11}}, // - {{14, 2, 21, 5, 8, 32}}, // top children - {{2, 18, 23, 7, 9, 33}}, // - {{15, 3, 5, 25, 10, 34}}, // - {{3, 19, 7, 27, 11, 35}} // - }}; - // indices of the faces which define the new tets // the ordering of the tets is arbitrary // the first 4 determine the tets cutting of the corners @@ -7061,85 +6997,9 @@ namespace internal // the ordering within the faces is determined by // convention for the tetrahedron unit cell, see // cell_vertices_tet below - static constexpr dealii::ndarray - cell_quads_tet = {{// new line is (6, 8) - {{{{8, 13, 16, 0, X, X}}, - {{9, 12, 1, 21, X, X}}, - {{10, 2, 17, 20, X, X}}, - {{3, 14, 18, 22, X, X}}, - {{11, 1, 4, 5, X, X}}, - {{15, 0, 4, 6, X, X}}, - {{19, 7, 6, 3, X, X}}, - {{23, 5, 2, 7, X, X}}}}, - // new line is (5, 7) - {{ - {{8, 13, 16, 0, X, X}}, - {{9, 12, 1, 21, X, X}}, - {{10, 2, 17, 20, X, X}}, - {{3, 14, 18, 22, X, X}}, - {{11, 4, 0, 5, X, X}}, - {{15, 4, 1, 6, X, X}}, - {{19, 2, 5, 7, X, X}}, - {{23, 6, 7, 3, X, X}}, - }}, - // new line is (4, 9) - {{ - {{8, 13, 16, 0, X, X}}, - {{9, 12, 1, 21, X, X}}, - {{10, 2, 17, 20, X, X}}, - {{3, 14, 18, 22, X, X}}, - {{11, 4, 5, 2, X, X}}, - {{15, 6, 7, 3, X, X}}, - {{19, 5, 0, 6, X, X}}, - {{23, 1, 4, 7, X, X}}, - }}}}; - - // the 4 faces of the reference tet are defined by 3 - // vertices each and follow the order of the unit cell - static constexpr dealii::ndarray - reference_cell_face_vertices = { - {{{0, 1, 2}}, {{1, 0, 3}}, {{0, 2, 3}}, {{2, 1, 3}}}}; - - // the 8 child tets are each defined by 4 vertices - // the ordering of the tets has to be consistent with above - // the ordering within the tets is given by the reference - // tet i.e. looking at the fifth line the first 3 vertices - // are given by face 11, the last vertex is the remaining of - // the tet - static constexpr dealii::ndarray - cell_vertices_tet = {{// new line is (6,8) - {{{{0, 4, 6, 7}}, - {{4, 1, 5, 8}}, - {{6, 5, 2, 9}}, - {{7, 8, 9, 3}}, - {{4, 5, 6, 8}}, - {{4, 7, 8, 6}}, - {{6, 9, 7, 8}}, - {{5, 8, 9, 6}}}}, - // new line is (5,7) - {{{{0, 4, 6, 7}}, - {{4, 1, 5, 8}}, - {{6, 5, 2, 9}}, - {{7, 8, 9, 3}}, - {{4, 5, 6, 7}}, - {{4, 7, 8, 5}}, - {{6, 9, 7, 5}}, - {{5, 8, 9, 7}}}}, - // new line is (4,9) - {{{{0, 4, 6, 7}}, - {{4, 1, 5, 8}}, - {{6, 5, 2, 9}}, - {{7, 8, 9, 3}}, - {{4, 5, 6, 9}}, - {{4, 7, 8, 9}}, - {{6, 9, 7, 4}}, - {{5, 8, 9, 4}}}}}}; - - const auto &cell_quads = - (reference_cell_type == ReferenceCells::Hexahedron) ? - cell_quads_hex : - cell_quads_tet[chosen_line_tetrahedron]; + hex->reference_cell().new_isotropic_child_cell_faces( + chosen_line_tetrahedron); for (unsigned int c = 0; c < GeometryInfo::max_children_per_cell; @@ -7170,19 +7030,34 @@ namespace internal face->vertex_index(1), face->vertex_index(2)}}; - const auto &new_hex_vertices = - cell_vertices_tet[chosen_line_tetrahedron][c]; - const auto face_f_vertices = - reference_cell_face_vertices[f]; - + // the 8 child tets are each defined by 4 + // vertices the ordering of the tets has to be + // consistent with above the ordering within the + // tets is given by the reference tet i.e. + // looking at the fifth line the first 3 + // vertices are given by face 11, the last + // vertex is the remaining of the tet + const auto new_hex_vertices = + hex->reference_cell() + .new_isotropic_child_cell_vertices( + chosen_line_tetrahedron)[c]; + + // arrange after vertices of the faces of the + // unit cell const std::array vertices_1 = { { vertex_indices - [new_hex_vertices[face_f_vertices[0]]], + [new_hex_vertices + [hex->reference_cell() + .face_to_cell_vertices(f, 0, 1)]], vertex_indices - [new_hex_vertices[face_f_vertices[1]]], + [new_hex_vertices + [hex->reference_cell() + .face_to_cell_vertices(f, 1, 1)]], vertex_indices - [new_hex_vertices[face_f_vertices[2]]], + [new_hex_vertices + [hex->reference_cell() + .face_to_cell_vertices(f, 2, 1)]], }}; new_hex->set_combined_face_orientation( @@ -12998,6 +12873,7 @@ void Triangulation::set_all_refine_flags() { cell->clear_coarsen_flag(); cell->set_refine_flag(); + cell->set_refine_choice(); } } diff --git a/source/grid/tria_levels.cc b/source/grid/tria_levels.cc index 365ee39a21..652aeb012e 100644 --- a/source/grid/tria_levels.cc +++ b/source/grid/tria_levels.cc @@ -28,6 +28,7 @@ namespace internal { return ( MemoryConsumption::memory_consumption(refine_flags) + + MemoryConsumption::memory_consumption(refine_choice) + MemoryConsumption::memory_consumption(coarsen_flags) + MemoryConsumption::memory_consumption(active_cell_indices) + MemoryConsumption::memory_consumption(global_active_cell_indices) + diff --git a/tests/fe/prolongation_restriction.cc b/tests/fe/prolongation_restriction.cc new file mode 100644 index 0000000000..339c5c3476 --- /dev/null +++ b/tests/fe/prolongation_restriction.cc @@ -0,0 +1,172 @@ +// ------------------------------------------------------------------------ +// +// SPDX-License-Identifier: LGPL-2.1-or-later +// Copyright (C) 2002 - 2024 by the deal.II authors +// +// This file is part of the deal.II library. +// +// Part of the source code is dual licensed under Apache-2.0 WITH +// LLVM-exception OR LGPL-2.1-or-later. Detailed license information +// governing the source code and code contributions can be found in +// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II. +// +// ------------------------------------------------------------------------ + +// Compute all refinement and restriction matrices for Tetrahedral elements. +// Each element has 8 children and there are a total of 3 different +// isotropic refinement choices for Tets. Also check for the DG case. + +#include + +#include + +#include +#include +#include + +#include +#include +#include +#include + +#include + +#include +#include + +#include "../tests.h" + +#define PRECISION 6 + + + +template +void +test_prolongation(int degree) +{ + FE_SimplexP fe(degree); + + const unsigned int nc = 8; + std::vector>> matrices( + static_cast(IsotropicRefinementChoice::cut_tet_49), + std::vector>( + GeometryInfo::n_children(RefinementCase::isotropic_refinement), + FullMatrix(fe.n_dofs_per_cell(), fe.n_dofs_per_cell()))); + + for (unsigned int refinement_direction = + static_cast(IsotropicRefinementChoice::cut_tet_68); + refinement_direction <= + static_cast(IsotropicRefinementChoice::cut_tet_49); + refinement_direction++) + { + deallog << "Refinement Direction: " << refinement_direction << std::endl; + for (unsigned int i = 0; i < nc; ++i) + { + matrices[refinement_direction - 1][i] = fe.get_prolongation_matrix( + i, RefinementCase(refinement_direction)); + + deallog << "Child: " << i << std::endl; + for (unsigned int j = 0; j < fe.n_dofs_per_cell(); ++j) + { + for (unsigned int k = 0; k < fe.n_dofs_per_cell(); ++k) + deallog << matrices[refinement_direction - 1][i][j][k] << " "; + deallog << std::endl; + } + deallog << std::endl; + } + } +} + +template +void +test_restriction(int degree) +{ + FE_SimplexP fe(degree); + + const unsigned int nc = 8; + std::vector>> matrices( + static_cast(IsotropicRefinementChoice::cut_tet_49), + std::vector>( + GeometryInfo::n_children(RefinementCase::isotropic_refinement), + FullMatrix(fe.n_dofs_per_cell(), fe.n_dofs_per_cell()))); + + for (unsigned int refinement_direction = + static_cast(IsotropicRefinementChoice::cut_tet_68); + refinement_direction <= + static_cast(IsotropicRefinementChoice::cut_tet_49); + refinement_direction++) + { + deallog << "Refinement Direction: " << refinement_direction << std::endl; + for (unsigned int i = 0; i < nc; ++i) + { + matrices[refinement_direction - 1][i] = fe.get_restriction_matrix( + i, RefinementCase(refinement_direction)); + + deallog << "Child: " << i << std::endl; + for (unsigned int j = 0; j < fe.n_dofs_per_cell(); ++j) + { + for (unsigned int k = 0; k < fe.n_dofs_per_cell(); ++k) + deallog << matrices[refinement_direction - 1][i][j][k] << " "; + deallog << std::endl; + } + deallog << std::endl; + } + } +} + +template +void +test_restriction_additive(int degree) +{ + FE_SimplexDGP fe(degree); + + const unsigned int nc = 8; + std::vector>> matrices( + static_cast(IsotropicRefinementChoice::cut_tet_49), + std::vector>( + GeometryInfo::n_children(RefinementCase::isotropic_refinement), + FullMatrix(fe.n_dofs_per_cell(), fe.n_dofs_per_cell()))); + + for (unsigned int refinement_direction = + static_cast(IsotropicRefinementChoice::cut_tet_68); + refinement_direction <= + static_cast(IsotropicRefinementChoice::cut_tet_49); + refinement_direction++) + { + deallog << "Refinement Direction: " << refinement_direction << std::endl; + for (unsigned int i = 0; i < nc; ++i) + { + matrices[refinement_direction - 1][i] = fe.get_restriction_matrix( + i, RefinementCase(refinement_direction)); + + deallog << "Child: " << i << std::endl; + for (unsigned int j = 0; j < fe.n_dofs_per_cell(); ++j) + { + for (unsigned int k = 0; k < fe.n_dofs_per_cell(); ++k) + deallog << matrices[refinement_direction - 1][i][j][k] << " "; + deallog << std::endl; + } + deallog << std::endl; + } + } +} + + + +int +main() +{ + std::ofstream logfile("output"); + deallog << std::setprecision(PRECISION); + deallog << std::fixed; + deallog.attach(logfile); + + for (int degree = 1; degree < 4; degree++) + { + test_prolongation<3>(degree); + test_restriction<3>(degree); + test_restriction_additive<3>(degree); + } + + return 0; +} diff --git a/tests/fe/prolongation_restriction.output b/tests/fe/prolongation_restriction.output new file mode 100644 index 0000000000..8d6979b5ba --- /dev/null +++ b/tests/fe/prolongation_restriction.output @@ -0,0 +1,2908 @@ + +DEAL::Refinement Direction: 1 +DEAL::Child: 0 +DEAL::1.000000 0.000000 0.000000 0.000000 +DEAL::0.500000 0.500000 0.000000 0.000000 +DEAL::0.500000 0.000000 0.500000 0.000000 +DEAL::0.500000 0.000000 0.000000 0.500000 +DEAL:: +DEAL::Child: 1 +DEAL::0.500000 0.500000 0.000000 0.000000 +DEAL::0.000000 1.000000 0.000000 0.000000 +DEAL::0.000000 0.500000 0.500000 0.000000 +DEAL::0.000000 0.500000 0.000000 0.500000 +DEAL:: +DEAL::Child: 2 +DEAL::0.500000 0.000000 0.500000 0.000000 +DEAL::0.000000 0.500000 0.500000 0.000000 +DEAL::0.000000 0.000000 1.000000 0.000000 +DEAL::0.000000 0.000000 0.500000 0.500000 +DEAL:: +DEAL::Child: 3 +DEAL::0.500000 0.000000 0.000000 0.500000 +DEAL::0.000000 0.500000 0.000000 0.500000 +DEAL::0.000000 0.000000 0.500000 0.500000 +DEAL::0.000000 0.000000 0.000000 1.000000 +DEAL:: +DEAL::Child: 4 +DEAL::0.500000 0.500000 0.000000 0.000000 +DEAL::0.000000 0.500000 0.500000 0.000000 +DEAL::0.500000 0.000000 0.500000 0.000000 +DEAL::0.000000 0.500000 0.000000 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0.003906 -0.002604 0.007813 -0.065104 -0.031250 -0.044271 -0.044271 +DEAL::0.013889 0.013889 0.008681 0.039063 0.016927 0.016927 0.009115 0.035156 0.035156 0.009115 0.005208 -0.059896 0.005208 -0.059896 0.039063 -0.067708 0.335938 0.135417 0.161458 0.161458 +DEAL:: diff --git a/tests/fe/up_and_down_simplex.cc b/tests/fe/up_and_down_simplex.cc new file mode 100644 index 0000000000..f93695853e --- /dev/null +++ b/tests/fe/up_and_down_simplex.cc @@ -0,0 +1,252 @@ +// ------------------------------------------------------------------------ +// +// SPDX-License-Identifier: LGPL-2.1-or-later +// Copyright (C) 2002 - 2024 by the deal.II authors +// +// This file is part of the deal.II library. +// +// Part of the source code is dual licensed under Apache-2.0 WITH +// LLVM-exception OR LGPL-2.1-or-later. Detailed license information +// governing the source code and code contributions can be found in +// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II. +// +// ------------------------------------------------------------------------ + +// like fe/up_and_down test but use simplex elements instead +// Restrict a vector to a coarse grid and prolongate it again, +// repeat the procedure twice and check if the reslting vectors are the same +// i.e. if prolongation and restriction are successful. + +#include + +#include + +#include +#include +#include + +#include +#include +#include +#include + +#include + +#include +#include + +#include "../tests.h" + +#define PRECISION 3 + + +template +Point +transform(const Point p) +{ + switch (dim) + { + case 1: + return p; + case 2: + return Point(p[0] * (1 + p[1]), p[1] * (1 + p[0])); + case 3: + return Point(p[0] * (1 + p[1]) * (1 + p[2]), + p[1] * (1 + p[0]) * (1 + p[2]), + p[2] * (1 + p[0]) * (1 + p[1])); + default: + DEAL_II_NOT_IMPLEMENTED(); + return Point(); + }; +} + + +template +void +check_element(const Triangulation &tr, const FiniteElement &fe) +{ + DoFHandler dof_handler(tr); + dof_handler.distribute_dofs(fe); + + // create a mostly arbitrary + // function plus a trend on this + // grid + Vector tmp(dof_handler.n_dofs()); + // for (unsigned int i = 0; i < tmp.size(); ++i) + // tmp(i) = i; //(i + 13*i%17); + for (const auto &cell : tr.cell_iterators()) + for (const auto v : cell->vertex_indices()) + { + const auto v_global = cell->vertex_index(v); + tmp(v_global) = cell->vertex(v)(0) + cell->vertex(v)(1); + if (dim == 3) + tmp(v_global) = cell->vertex(v)(0) + cell->vertex(v)(2); + } + + + // restrict this function to the + // next coarser level and + // distribute it again to the + // higher level + Vector x(tmp.size()); + Vector v(fe.dofs_per_cell); + for (typename DoFHandler::cell_iterator cell = dof_handler.begin(); + cell != dof_handler.end(); + ++cell) + if (cell->has_children() && cell->child(0)->is_active()) + { + // first make sure that what + // we do is reasonable. for + // this, _all_ children have + // to be active, not only + // some of them + for (unsigned int c = 0; c < GeometryInfo::max_children_per_cell; + ++c) + AssertThrow(cell->child(c)->is_active(), ExcInternalError()); + + // then restrict and prolongate + cell->get_interpolated_dof_values(tmp, v); + cell->set_dof_values_by_interpolation(v, x); + }; + + // now x is a function on the fine + // grid that is representable on + // the coarse grid. so another + // cycle should not alter it any + // more: + Vector x2(x.size()); + for (typename DoFHandler::cell_iterator cell = dof_handler.begin(); + cell != dof_handler.end(); + ++cell) + if (cell->has_children() && cell->child(0)->is_active()) + { + cell->get_interpolated_dof_values(x, v); + cell->set_dof_values_by_interpolation(v, x2); + }; + + // then check that this is so: + x2 -= x; + const double relative_residual = (x2.l2_norm() / x.l2_norm()); + + const double threshold = 1e-6; + deallog << ", dofs_per_cell=" << fe.dofs_per_cell + << "; relative residual: " << relative_residual << " " + << (relative_residual < threshold ? "ok" : "botched up!") + << std::endl; + + // TODO:[WB] Why this exception with a value different from above. Output of + // the error should be sufficient! + // Assert (relative_residual < threshold*x.l2_norm(), ExcInternalError()); +} + + +template +void +test() +{ + // make a coarse triangulation as a + // hypercube. if in more than 1d, + // distort it so that it is no more + // an affine image of the + // hypercube, to make things more + // difficult. then refine it twice + Triangulation temp, tr; + GridGenerator::hyper_cube(temp, 0., 1.); + Point (*p)(Point) = &transform; + GridTools::transform(p, temp); + GridGenerator::convert_hypercube_to_simplex_mesh(temp, tr); + + tr.refine_global(2); + + // now for a list of finite + // elements, for which we want to + // test. we happily waste tons of + // memory here, but who cares... + const FiniteElement *fe_list[] = { + // first for some scalar + // elements: + + // FE_SimplexP + new FE_SimplexP(1), + new FE_SimplexP(2), + new FE_SimplexP(3), + new FE_SimplexDGP(1), + new FE_SimplexDGP(2), + new FE_SimplexDGP(3), + + // some composed elements + // of increasing + // complexity, to check the + // logics by which the + // matrices of the composed + // elements are assembled + // from those of the base + // elements. note that some + // of the base elements are + // additive, some not, so + // the result will be an + // element that is mixed in + // this respect + + new FESystem(FE_SimplexP(2), 2), + new FESystem(FE_SimplexP(1), 2, FE_SimplexDGP(2), 2), + new FESystem(FE_SimplexP(1), + 2, + FE_SimplexDGP(2), + 2, + FE_SimplexDGP(0), + 1), + new FESystem(FE_SimplexP(1), + 2, + FESystem(FE_SimplexP(1), + 2, + FE_SimplexDGP(2), + 2, + FE_SimplexDGP(2), + 1), + 2, + FE_SimplexDGP(0), + 1), + new FESystem(FE_SimplexP(1), + 2, + FESystem(FE_SimplexP(1), + 2, + FE_SimplexDGP(2), + 2, + FESystem(FE_SimplexDGP(0), 3), + 1), + 2, + FE_SimplexDGP(0), + 1), + + + }; + + for (unsigned int i = 0; i < sizeof(fe_list) / sizeof(fe_list[0]); ++i) + if (fe_list[i] != nullptr) + { + deallog << dim << "d, uniform grid, fe #" << i; + check_element(tr, *fe_list[i]); + } + + + for (unsigned int i = 0; i < sizeof(fe_list) / sizeof(fe_list[0]); ++i) + if (fe_list[i] != nullptr) + delete fe_list[i]; +} + + + +int +main() +{ + std::ofstream logfile("output"); + deallog << std::setprecision(PRECISION); + deallog << std::fixed; + deallog.attach(logfile); + + test<2>(); + test<3>(); + + return 0; +} diff --git a/tests/fe/up_and_down_simplex.output b/tests/fe/up_and_down_simplex.output new file mode 100644 index 0000000000..314e7c9b7e --- /dev/null +++ b/tests/fe/up_and_down_simplex.output @@ -0,0 +1,23 @@ + +DEAL::2d, uniform grid, fe #0, dofs_per_cell=3; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #1, dofs_per_cell=6; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #2, dofs_per_cell=10; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #3, dofs_per_cell=3; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #4, dofs_per_cell=6; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #5, dofs_per_cell=10; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #6, dofs_per_cell=12; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #7, dofs_per_cell=18; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #8, dofs_per_cell=19; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #9, dofs_per_cell=55; relative residual: 0.000 ok +DEAL::2d, uniform grid, fe #10, dofs_per_cell=49; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #0, dofs_per_cell=4; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #1, dofs_per_cell=10; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #2, dofs_per_cell=20; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #3, dofs_per_cell=4; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #4, dofs_per_cell=10; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #5, dofs_per_cell=20; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #6, dofs_per_cell=20; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #7, dofs_per_cell=28; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #8, dofs_per_cell=29; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #9, dofs_per_cell=85; relative residual: 0.000 ok +DEAL::3d, uniform grid, fe #10, dofs_per_cell=71; relative residual: 0.000 ok diff --git a/tests/multigrid-global-coarsening/mg_transfer_a_05.cc b/tests/multigrid-global-coarsening/mg_transfer_a_05.cc index 81e54c34da..9a0c12784e 100644 --- a/tests/multigrid-global-coarsening/mg_transfer_a_05.cc +++ b/tests/multigrid-global-coarsening/mg_transfer_a_05.cc @@ -155,10 +155,14 @@ main(int argc, char **argv) // Functions::ConstantFunction<2, double> fu(1.); RightHandSideFunction<2> fu; + RightHandSideFunction<3> fu3; for (unsigned int i = 0; i <= 4; ++i) test<2, double>(i, fu, false); for (unsigned int i = 0; i <= 2; ++i) test<2, double>(i, fu, true); + + for (unsigned int i = 1; i <= 2; ++i) + test<3, double>(i, fu3, true); } diff --git 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