Discrete H2 space: local operators, L2 product and global interpolator. More...
#include <xhess.hpp>
Inheritance diagram for HArDCore2D::XHess:
Collaboration diagram for HArDCore2D::XHess:
Classes | |
| struct | LocalOperators |
| A structure to store local operators (gradient and potential) More... | |
| struct | TransferOperators |
Public Types | |
| typedef std::function< double(const Eigen::Vector2d &)> | FunctionType |
| typedef std::function< Eigen::Vector2d(const Eigen::Vector2d &)> | GradFunctionType |
Public Member Functions | |
| XHess (const DDRCore &ddr_core, const SerendipityProblem &ser_pro, bool use_threads=true, std::ostream &output=std::cout) | |
| Constructor. | |
| const Mesh & | mesh () const |
| Return the mesh. | |
| const size_t & | degree () const |
| Return the polynomial degree. | |
| Eigen::VectorXd | interpolate (const FunctionType &q, const GradFunctionType &Dq, const int deg_quad=-1) const |
| Interpolator of a continuous function. | |
| const Eigen::MatrixXd & | SgradCell (size_t iT) const |
| Return the serendipity reconstruction for the cell of index iT. | |
| const Eigen::MatrixXd & | SgradCell (const Cell &T) const |
| Return the serendipity reconstruction for cell T. | |
| const TransferOperators & | TcellOperators (size_t iT) const |
| Return cell operators for the cell of index iT. | |
| const TransferOperators & | TcellOperators (const Cell &T) const |
| Return cell operators for cell T. | |
| const LocalOperators & | edgeOperators (size_t iE) const |
| Return edge operators for the edge of index iE. | |
| const LocalOperators & | edgeOperators (const Edge &E) const |
| Return edge operators for edge E. | |
| const LocalOperators & | cellOperators (size_t iT) const |
| Return cell operators for the cell of index iT. | |
| const LocalOperators & | cellOperators (const Cell &T) const |
| Return cell operators for cell T. | |
| const DDRCore::CellBases & | cellBases (size_t iT) const |
| Return cell bases for the cell of index iT. | |
| const DDRCore::CellBases & | cellBases (const Cell &T) const |
| Return cell bases for cell T. | |
| const DDRCore::EdgeBases & | edgeBases (size_t iE) const |
| Return edge bases for the edge of index iE. | |
| const DDRCore::EdgeBases & | edgeBases (const Edge &E) const |
| Return edge bases for edge E. | |
| Eigen::MatrixXd | computeL2Product (const size_t iT, const double &penalty_factor=1., const Eigen::MatrixXd &mass_Pkpo_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. | |
| double | evaluatePotential (const size_t iT, const Eigen::VectorXd &vT, const VectorRd &x) const |
| Evaluate the value of the potential at a point x. | |
| double | computeL2Norm (const Eigen::VectorXd &v) const |
| Compute the L2-norm of a vector of the space. | |
 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. | |
| size_t | globalOffset (const Vertex &V) const |
| Return the global offset for the unknowns on the vertex V. | |
| size_t | globalOffset (const Edge &E) const |
| Return the global offset for the unknowns on the edge E. | |
| size_t | globalOffset (const Cell &T) const |
| Return the global offset for the unknowns on the cell T. | |
| Eigen::VectorXd | restrictEdge (size_t iE, const Eigen::VectorXd &vh) const |
| Restrict to the edge (including its vertices) of index iE. | |
| Eigen::VectorXd | restrictCell (size_t iT, const Eigen::VectorXd &vh) const |
| Restrict to the cell (including vertices and edges) of index iT. | |
| Eigen::VectorXd | restrict (const Edge &E, const Eigen::VectorXd vh) const |
| Restrict to an edge. | |
| Eigen::VectorXd | restrict (const Cell &T, const Eigen::VectorXd vh) const |
| Restrict to a cell. | |
| Eigen::MatrixXd | extendOperator (const Cell &T, const Edge &E, const Eigen::MatrixXd &opE) const |
| Extend an edge operator to a cell. | |
| 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) | |
| int | getLabelDOF (const size_t i) |
| Get label of DOF number i. | |
| 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. | |
| const Mesh & | mesh () const |
| Returns the mesh. | |
| size_t | numLocalDofsVertex () const |
| Returns the number of local vertex DOFs. | |
| size_t | numLocalDofsEdge () const |
| Returns the number of local edge DOFs. | |
| size_t | numLocalDofsCell () const |
| Returns the number of local cell DOFs. | |
| size_t | dimension () const |
| Returns the dimension of the global space (all DOFs for all geometric entities) | |
| size_t | numTotalDofsVertices () const |
| Returns the total number of vertex DOFs. | |
| size_t | numTotalDofsEdges () const |
| Returns the total number of vertex DOFs. | |
| size_t | numTotalDofsCells () const |
| Returns the total number of vertex DOFs. | |
| size_t | dimensionVertex (const Vertex &V) const |
| Returns the dimension of the local space on the vertex V. | |
| size_t | dimensionVertex (size_t iV) const |
| Returns the dimension of the local space on the vertex of index iV. | |
| size_t | dimensionEdge (const Edge &E) const |
| Returns the dimension of the local space on the edge E (including vertices) | |
| size_t | dimensionEdge (size_t iE) const |
| Returns the dimension of the local space on the edge of index iE (including vertices) | |
| size_t | dimensionCell (const Cell &T) const |
| Returns the dimension of the local space on the cell T (including faces, edges and vertices) | |
| size_t | dimensionCellBoundary (const Cell &T) const |
| Returns the dimension of the local space on the boundary of T. | |
| 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) | |
| size_t | dimensionCellBoundary (size_t iT) const |
| Returns the dimension of the local space on the boundary of T. | |
| size_t | localOffset (const Edge &E, const Vertex &V) const |
| Returns the local offset of the vertex V with respect to the edge E. | |
| size_t | localOffset (const Edge &E) const |
| Returns the local offset of the unknowns attached to the edge E. | |
| size_t | localOffset (const Cell &T, const Vertex &V) const |
| Returns the local offset of the vertex V with respect to the cell T. | |
| size_t | localOffset (const Cell &T, const Edge &E) const |
| Returns the local offset of the edge E with respect to the cell T. | |
| size_t | localOffset (const Cell &T) const |
| Returns the local offset of the unknowns attached to the element T. | |
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 H2 space: local operators, L2 product and global interpolator.
The documentation for this class was generated from the following files:
