#include <ddr_pec.hpp>

Public Types
typedef Eigen::KroneckerProduct< Eigen::MatrixXd, Eigen::MatrixXd >	Kronecker

Public Member Functions
	DDR_PEC (Mesh const &mesh, int r, bool use_threads=true, std::ostream &output=std::cout)
	Constructor.

Kronecker	get_mass (size_t k, size_t d, size_t i) const
	Return the mass matrix for the k-forms on the i-th d-cell.

Kronecker	get_trace (size_t k, size_t d, size_t i, size_t j) const
	Return the trace for the k-forms on the i-th d-cell onto its j-th (d-1)-neighbour.

const Eigen::MatrixXd &	get_diff (size_t l, size_t d) const
	Getters for the generic operators matrices.

const Eigen::MatrixXd &	get_Koszul (size_t l, size_t d) const

const Eigen::MatrixXd &	get_diff_as_degr (size_t l, size_t d) const

const Eigen::MatrixXd &	get_trimmed (size_t l, size_t d) const

const Eigen::MatrixXd &	get_reduced_Koszul_m1 (size_t l, size_t d) const

Eigen::Matrix< double,-1,-1, 0, 3, 3 >	get_exterior_trace (size_t k, size_t d, size_t i_cell) const
	Trace of a k form from the global space to the mesh element of dimension d with index i_cell.

Eigen::Matrix< double,-1,-1, 0, 3, 3 >	get_hodge_star (size_t k, size_t d, size_t i_cell) const
	Gets the continuous Hodge star on k forms on the mesh element of dimension d with index i.

Eigen::MatrixXd	discrete_hodge_star (size_t k, size_t d, size_t i_cell) const
	Takes a k form on the polynomial k basis to a d-k form on the d-k basis (deals with scaling) on the mesh element of dimension d with index i_cell.

Eigen::MatrixXd	discrete_inv_hodge_star (size_t k, size_t d, size_t i_cell) const
	e.g. discrete_inv_hodge_star(d-k,d,i) * potential(k,d,i) is the potential P^k in PL(r,k,d)

double	evaluate_scalar_basis (Eigen::Vector3d const &x, size_t d, size_t i_cell, int i_basis) const

Eigen::Matrix< double,-1, 1, 0, 3, 1 >	evaluate_basis (Eigen::Vector3d const &x, size_t k, size_t d, size_t i_cell, int i_basis) const
	Evaluate at point x, the i th basis function of PL(r,k,d) in the cell with index i_cell.

Eigen::Matrix< double,-1, 1, 0, 3, 1 >	evaluate_basis (Eigen::Vector3d const &x, size_t k, size_t d, size_t i, Eigen::VectorXd const &b) const
	Evaluate at point x, the sum of the coefficients b times the basis of PL(r,k,d) in the cell with index i_cell.

double	get_scaling (size_t d, size_t i) const
	Gets scaling of the i-th d-cell.

The documentation for this class was generated from the following files:

src/Manicore_linear/ddr_pec.hpp
src/Manicore_linear/ddr_pec.cpp

Public Types

Public Member Functions