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HArD::Core3D
Hybrid Arbitrary Degree::Core 3D - Library to implement 3D schemes with vertex, edge, face and cell polynomials as unknowns
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Construct all polynomial spaces for the DDR sequence. More...
#include <serendipity_problem.hpp>
Public Types | |
| typedef RestrictedBasis< DDRCore::PolyBasisFaceType > | PolylBasisFaceType |
| typedef RestrictedBasis< DDRCore::PolyBasisCellType > | PolylBasisCellType |
| typedef RestrictedBasis< DDRCore::RolyComplBasisFaceType > | RolyCompllpoBasisFaceType |
| typedef RestrictedBasis< DDRCore::RolyComplBasisCellType > | RolyCompllpoBasisCellType |
| typedef Eigen::FullPivLU< Eigen::MatrixXd > | InverseProblem |
| Type for inverses of matrix for serendipity problem. | |
Public Member Functions | |
| SerendipityProblem (const DDRCore &ddrcore, bool use_threads=true, std::ostream &output=std::cout, bool use_serendipity=true) | |
| Constructor. | |
| const std::vector< size_t > & | serendipityEdges (size_t iF) const |
| Return the list of serendipity edges in a face. | |
| const int | n_serendipityEdges (size_t iF) const |
| Return the number of serendipity edges in a face. | |
| const int | serDegreeFace (size_t iF) const |
| Return the serendipity degree ell_F in a face. | |
| const std::vector< size_t > & | serendipityFaces (size_t iT) const |
| Return the list of serendipity face in a cell. | |
| const int | n_serendipityFaces (size_t iT) const |
| Return the number of serendipity faces in a cell. | |
| const int | serDegreeCell (size_t iT) const |
| Return the serendipity degree ell_T in a cell. | |
| size_t | dimFacePolyl (size_t iF) const |
| Return the dimension of P^l on face of index iF. | |
| size_t | dimFacePolyl (const Face &F) const |
| Return the dimension of P^{l+1} on face F. | |
| const PolylBasisFaceType & | faceBasisPolyl (size_t iF) const |
| Return the basis of P^l on face of index iF. | |
| const PolylBasisFaceType & | faceBasisPolyl (const Face &F) const |
| Return the basis of P^l on face F. | |
| size_t | dimCellPolyl (size_t iT) const |
| Return the dimension of P^l on cell of index iT. | |
| size_t | dimCellPolyl (const Cell &T) const |
| Return the dimension of P^l on cell T. | |
| const PolylBasisCellType & | cellBasisPolyl (size_t iT) const |
| Return the basis of P^l on cell of index iT. | |
| const PolylBasisCellType & | cellBasisPolyl (const Cell &T) const |
| Return the basis of P^l on cell T. | |
| Eigen::VectorXi | nDOFs_faces_SXGrad () const |
| Number of DOFs on faces for serendipity XGrad space. | |
| Eigen::VectorXi | nDOFs_cells_SXGrad () const |
| Number of DOFs on cells for serendipity XGrad space. | |
| size_t | dimFaceRolyCompllpo (size_t iF) const |
| Return the dimension of R^{c,l+1} on face of index iF. | |
| size_t | dimFaceRolyCompllpo (const Face &F) const |
| Return the dimension of R^{c,l+1} on face F. | |
| const RolyCompllpoBasisFaceType & | faceBasisRolyCompllpo (size_t iF) const |
| Return the basis of R^{c,l+1} on face of index iF. | |
| const RolyCompllpoBasisFaceType & | faceBasisRolyCompllpo (const Face &F) const |
| Return the basis of R^{c,l+1} on face F. | |
| size_t | dimCellRolyCompllpo (size_t iT) const |
| Return the dimension of R^{c,l+1} on cell of index iT. | |
| size_t | dimCellRolyCompllpo (const Cell &T) const |
| Return the dimension of R^{c,l+1} on cell T. | |
| const RolyCompllpoBasisCellType & | cellBasisRolyCompllpo (size_t iT) const |
| Return the basis of R^{c,l+1} on cell of index iT. | |
| const RolyCompllpoBasisCellType & | cellBasisRolyCompllpo (const Cell &T) const |
| Return the basis of R^{c,l+1} on cell T. | |
| Eigen::VectorXi | nDOFs_faces_SXCurl () const |
| Number of DOFs on faces for serendipity XCurl space. | |
| Eigen::VectorXi | nDOFs_cells_SXCurl () const |
| Number of DOFs on cells for serendipity XCurl space. | |
| const Eigen::MatrixXd | SerendipityOperatorFace (const size_t iF, const Eigen::MatrixXd &LF) const |
| Compute the serendipity operator on the face of index iF. | |
| const Eigen::MatrixXd | SerendipityOperatorFace (const Face &F, const Eigen::MatrixXd &LF) const |
| Compute the serendipity operator on the face F. | |
| const Eigen::MatrixXd | SerendipityOperatorCell (const size_t iT, const Eigen::MatrixXd <) const |
| Compute the serendipity operator on the cell of index iT. | |
| const Eigen::MatrixXd | SerendipityOperatorCell (const Cell &T, const Eigen::MatrixXd <) const |
| Compute the serendipity operator on the Cell T. | |
| const Mesh & | mesh () const |
| Return a const reference to the mesh. | |
| const DDRCore & | ddrCore () const |
| Return a const reference to the underlying DDR core. | |
Construct all polynomial spaces for the DDR sequence.
1.9.8