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Reference documentation for deal.II version 9.6.0
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Namespaces | |
namespace | internal |
Enumerations | |
enum | LaplaceBoundaryType { dirichlet , neumann , internal_boundary } |
Functions | |
template<int dim, typename Number > | |
std::pair< std::array< FullMatrix< Number >, dim >, std::array< FullMatrix< Number >, dim > > | create_laplace_tensor_product_matrix (const FiniteElement< 1 > &fe, const Quadrature< 1 > &quadrature, const ::ndarray< LaplaceBoundaryType, dim, 2 > &boundary_ids, const ::ndarray< double, dim, 3 > &cell_extent, const unsigned int n_overlap=1) |
template<int dim, typename Number > | |
std::pair< std::array< FullMatrix< Number >, dim >, std::array< FullMatrix< Number >, dim > > | create_laplace_tensor_product_matrix (const typename Triangulation< dim >::cell_iterator &cell, const std::set< types::boundary_id > &dirichlet_boundaries, const std::set< types::boundary_id > &neumann_boundaries, const FiniteElement< 1 > &fe, const Quadrature< 1 > &quadrature, const ::ndarray< double, dim, 3 > &cell_extent, const unsigned int n_overlap=1) |
A namespace with functions that create input for certain standard matrices for the classes TensorProductMatrixSymmetricSum and TensorProductMatrixSymmetricSumCollection.
Boundary type that can be used in create_laplace_tensor_product_matrix();
Enumerator | |
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dirichlet | |
neumann | |
internal_boundary |
Definition at line 48 of file tensor_product_matrix_creator.h.
std::pair< std::array< FullMatrix< Number >, dim >, std::array< FullMatrix< Number >, dim > > TensorProductMatrixCreator::create_laplace_tensor_product_matrix | ( | const FiniteElement< 1 > & | fe, |
const Quadrature< 1 > & | quadrature, | ||
const ::ndarray< LaplaceBoundaryType, dim, 2 > & | boundary_ids, | ||
const ::ndarray< double, dim, 3 > & | cell_extent, | ||
const unsigned int | n_overlap = 1 ) |
Create 1d mass matrix and 1d derivative matrix for a scalar constant-coefficient Laplacian for a dim
dimensional Cartesian cell. Its boundary types can be specified with boundary_ids
. The cell extent (including the cell extent of each neighbor) can be specified via cell_extent
. With n_overlap
, an overlap with neighboring cells can be specified. The default value is one, which correspond to all matrix entries restricted to the cell-local DoFs.
Definition at line 175 of file tensor_product_matrix_creator.h.
std::pair< std::array< FullMatrix< Number >, dim >, std::array< FullMatrix< Number >, dim > > TensorProductMatrixCreator::create_laplace_tensor_product_matrix | ( | const typename Triangulation< dim >::cell_iterator & | cell, |
const std::set< types::boundary_id > & | dirichlet_boundaries, | ||
const std::set< types::boundary_id > & | neumann_boundaries, | ||
const FiniteElement< 1 > & | fe, | ||
const Quadrature< 1 > & | quadrature, | ||
const ::ndarray< double, dim, 3 > & | cell_extent, | ||
const unsigned int | n_overlap = 1 ) |
Same as above but the boundary IDs are extracted from the given cell
and are mapped to the boundary type via the sets dirichlet_boundaries
and neumann_boundaries
.
Definition at line 305 of file tensor_product_matrix_creator.h.