Discrete Hdivdiv space. More...
#include <xdivdiv.hpp>
Inheritance diagram for HArDCore2D::XDivDiv:
Collaboration diagram for HArDCore2D::XDivDiv:
Classes | |
| struct | LocalOperators |
| A structure to store the local operators (divdiv and potential) More... | |
| struct | SymmetricMatrixBasisVertex |
| Basis for the space of symmetric matrices. More... | |
Public Types | |
| typedef std::function< Eigen::Matrix2d(const Eigen::Vector2d &)> | FunctionType |
| typedef std::function< double(const Eigen::Vector2d &, const Edge &)> | EdgeFunctionType |
| typedef std::function< Eigen::Matrix2d(const Eigen::Matrix2d &)> | ConstitutiveLawType |
Public Member Functions | |
| XDivDiv (const PlatesCore &plates_core, bool use_threads=true, std::ostream &output=std::cout) | |
| Constructor. More... | |
| const Mesh & | mesh () const |
| Return the mesh. More... | |
| const size_t & | degree () const |
 Public Member Functions inherited from HArDCore2D::GlobalDOFSpace | |
| GlobalDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, size_t n_local_edge_dofs, size_t n_local_cell_dofs) | |
| Constructor. More... | |
| size_t | globalOffset (const Vertex &V) const |
| Return the global offset for the unknowns on the vertex V. More... | |
| size_t | globalOffset (const Edge &E) const |
| Return the global offset for the unknowns on the edge E. More... | |
| size_t | globalOffset (const Cell &T) const |
| Return the global offset for the unknowns on the cell T. More... | |
| Eigen::VectorXd | restrictEdge (size_t iE, const Eigen::VectorXd &vh) const |
| Restrict to the edge (including its vertices) of index iE. More... | |
| Eigen::VectorXd | restrictCell (size_t iT, const Eigen::VectorXd &vh) const |
| Restrict to the cell (including vertices and edges) of index iT. More... | |
| Eigen::VectorXd | restrict (const Edge &E, const Eigen::VectorXd vh) const |
| Restrict to an edge. More... | |
| Eigen::VectorXd | restrict (const Cell &T, const Eigen::VectorXd vh) const |
| Restrict to a cell. More... | |
| Eigen::MatrixXd | extendOperator (const Cell &T, const Edge &E, const Eigen::MatrixXd &opE) const |
| Extend an edge operator to a cell. More... | |
| std::vector< size_t > | globalDOFIndices (const Cell &T) const |
| void | setLabelDOF (const size_t i, const int label) |
| Set a label to the DOF number i (default label is -1) More... | |
| int | getLabelDOF (const size_t i) |
| Get label of DOF number i. More... | |
| Public Member Functions inherited from HArDCore2D::LocalDOFSpace | |
| LocalDOFSpace (const Mesh &mesh, size_t n_local_vertex_dofs, size_t n_local_edge_dofs, size_t n_local_cell_dofs) | |
| Constructor. More... | |
| const Mesh & | mesh () const |
| Returns the mesh. More... | |
| size_t | numLocalDofsVertex () const |
| Returns the number of local vertex DOFs. More... | |
| size_t | numLocalDofsEdge () const |
| Returns the number of local edge DOFs. More... | |
| size_t | numLocalDofsCell () const |
| Returns the number of local cell DOFs. More... | |
| size_t | dimension () const |
| Returns the dimension of the global space (all DOFs for all geometric entities) More... | |
| size_t | numTotalDofsVertices () const |
| Returns the total number of vertex DOFs. More... | |
| size_t | numTotalDofsEdges () const |
| Returns the total number of vertex DOFs. More... | |
| size_t | numTotalDofsCells () const |
| Returns the total number of vertex DOFs. More... | |
| size_t | dimensionVertex (const Vertex &V) const |
| Returns the dimension of the local space on the vertex V. More... | |
| size_t | dimensionVertex (size_t iV) const |
| Returns the dimension of the local space on the vertex of index iV. More... | |
| size_t | dimensionEdge (const Edge &E) const |
| Returns the dimension of the local space on the edge E (including vertices) More... | |
| size_t | dimensionEdge (size_t iE) const |
| Returns the dimension of the local space on the edge of index iE (including vertices) More... | |
| size_t | dimensionCell (const Cell &T) const |
| Returns the dimension of the local space on the cell T (including faces, edges and vertices) More... | |
| size_t | dimensionCellBoundary (const Cell &T) const |
| Returns the dimension of the local space on the boundary of T. More... | |
| size_t | dimensionCell (size_t iT) const |
| Returns the dimension of the local space on the cell of index iT (including faces, edges and vertices) More... | |
| size_t | dimensionCellBoundary (size_t iT) const |
| Returns the dimension of the local space on the boundary of T. More... | |
| size_t | localOffset (const Edge &E, const Vertex &V) const |
| Returns the local offset of the vertex V with respect to the edge E. More... | |
| size_t | localOffset (const Edge &E) const |
| Returns the local offset of the unknowns attached to the edge E. More... | |
| size_t | localOffset (const Cell &T, const Vertex &V) const |
| Returns the local offset of the vertex V with respect to the cell T. More... | |
| size_t | localOffset (const Cell &T, const Edge &E) const |
| Returns the local offset of the edge E with respect to the cell T. More... | |
| size_t | localOffset (const Cell &T) const |
| Returns the local offset of the unknowns attached to the element T. More... | |
Additional Inherited Members | |
| Protected Attributes inherited from HArDCore2D::LocalDOFSpace | |
| const Mesh & | m_mesh |
| size_t | m_n_local_vertex_dofs |
| size_t | m_n_local_edge_dofs |
| size_t | m_n_local_cell_dofs |
Detailed Description
Discrete Hdivdiv space.
At each vertex, the DOFs are the coefficients on the basis "m_basis" (accessible via m_symm_vertex) of Symm. On each edge \(E\), the DOFs are \(\tau_E\) on \(P^{k-3}(E)\), then \(D_{E,\tau}\) on \(P^{k-2}(E)\). In each element \(T\), the DOFs are \(\tau_{\mathcal H,T}^c\) in \(\mathcal H^{c,k-1}(T)\), and then (if it exists) \(\tau_{\mathcal H,T}\) in \(\mathcal H^{k-4}(T)\).
The documentation for this class was generated from the following files:
- src/DDRCore/xdivdiv.hpp
- src/DDRCore/xdivdiv.cpp
