Extended XCurl space, with vector-valued polynomials on the edges. More...
#include <excurl.hpp>
Inheritance diagram for HArDCore2D::EXCurl:
Collaboration diagram for HArDCore2D::EXCurl:
Classes | |
| struct | hhoLocalOperators |
| A structure to store the local HHO operators. More... | |
Public Types | |
| typedef std::function< Eigen::Vector2d(const Eigen::Vector2d &)> | FunctionType |
| typedef MatrixFamily< DDRCore::PolyBasisCellType, dimspace > | Polyk2x2Type |
| typedef TensorizedVectorFamily< DDRCore::PolyBasisCellType, dimspace > | Polykpo2Type |
Public Member Functions | |
| EXCurl (const DDRCore &ddr_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 |
| Return the polynomial degree. More... | |
| Eigen::VectorXd | interpolate (const FunctionType &v, const int deg_quad=-1) const |
| Interpolator of a continuous function. More... | |
| const Eigen::MatrixXd | ddrPotential (size_t iT) const |
| Return cell potential for the cell of index iT. More... | |
| const Eigen::MatrixXd | ddrCurl (size_t iT) const |
| Return cell (scalar) curl for the cell of index iT. More... | |
| const Eigen::MatrixXd | ddrPotential (const Cell &T) const |
| Return cell potential for cell T. More... | |
| const Eigen::MatrixXd | ddrCurl (const Cell &T) const |
| Return cell (scalar) curl for cell T. More... | |
| const hhoLocalOperators & | hhoOperators (size_t iT) const |
| Return hho operators for the cell of index iT. More... | |
| const hhoLocalOperators & | hhoOperators (const Cell &T) const |
| Return cell operators for cell T. More... | |
| const DDRCore::CellBases & | cellBases (size_t iT) const |
| Return ddrcore cell bases for the cell of index iT. More... | |
| const DDRCore::CellBases & | cellBases (const Cell &T) const |
| Return ddrcore cell bases for cell T. More... | |
| const Polyk2x2Type & | Polyk2x2 (size_t iT) const |
| Return basis for Matricial P^k space. More... | |
| const Polykpo2Type & | Polykpo2 (size_t iT) const |
| Return basis for the (P^{k+1})^2 space. More... | |
| const DDRCore::EdgeBases & | edgeBases (size_t iE) const |
| Return ddrcore edge bases for the edge of index iE. More... | |
| const DDRCore::EdgeBases & | edgeBases (const Edge &E) const |
| Return ddrcore edge bases for edge E. More... | |
| Eigen::MatrixXd | computeL2Product (const size_t iT, const double &penalty_factor=1., const Eigen::MatrixXd &mass_Pk2_T=Eigen::MatrixXd::Zero(1, 1), const IntegralWeight &weight=IntegralWeight(1.)) const |
| Compute the matrix of the (weighted) L2-product for the cell of index iT. More... | |
| Eigen::MatrixXd | computeL2ProductGradient (const size_t iT, const XGrad &x_grad, const std::string &side, const double &penalty_factor=1., const Eigen::MatrixXd &mass_Pk2_T=Eigen::MatrixXd::Zero(1, 1), const IntegralWeight &weight=IntegralWeight(1.)) const |
| Compute the matrix of the (weighted) L2-product as 'computeL2Product', with application of the discrete gradient on the left/right/both sides (depending on argument "side"). More... | |
| Eigen::MatrixXd | computeL2Product_with_Ops (const size_t iT, const std::vector< Eigen::MatrixXd > &leftOp, const std::vector< Eigen::MatrixXd > &rightOp, const double &penalty_factor, const Eigen::MatrixXd &w_mass_Pk2_T, const IntegralWeight &weight) const |
| Compute the matrix of the L2 product, applying leftOp and rightOp to the variables. Probably not directly called, mostly invoked through the wrappers computeL2Product and computeL2ProductGradient. More... | |
 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
Extended XCurl space, with vector-valued polynomials on the edges.
Following GlobalDOFSpace, the DOFs are organised this way: DOFs of edges (for each edge: normal components, then tangential components - both oriented according to the intrinsic normal and tangent to the edge), DOFs of cells. The matrices m_reduction are used to locally recover DOFs for the XCurl space by removing the normal components to the edges. Extended discrete Hcurl space: local operators, L2 product and global interpolator
The documentation for this class was generated from the following files:
- src/DDRCore/excurl.hpp
- src/DDRCore/excurl.cpp
