fem.h File Reference

#include "../blas.h"
#include "grid.h"
#include "xspacelib.h"
#include "fem_weights.h"

Go to the source code of this file.

Classes
struct	dg::TriDiagonal< Container >
	Fast (shared memory) tridiagonal sparse matrix. More...
struct	dg::InverseTriDiagonal< value_type >
	DEPRECATED/UNTESTED Fast inverse tridiagonal sparse matrix. More...
struct	dg::KroneckerTriDiagonal2d< Container >
	Fast tridiagonal sparse matrix in 2d \( T_y\otimes T_x\). More...
struct	dg::InverseKroneckerTriDiagonal2d< Container >
	Fast inverse tridiagonal sparse matrix in 2d \( T_y^{-1}\otimes T_x^{-1}\). More...

Namespaces
namespace	dg
	This is the namespace for all functions and classes defined and used by the discontinuous Galerkin library.
namespace	dg::create
	Contains functions used for matrix creation.

Functions
template<class real_type >
dg::TriDiagonal< dg::HVec_t< real_type > >	dg::create::fem_mass (const RealGrid1d< real_type > &g)
	\( S_{ij} = \frac{1}{w_i}\int v_i(x) v_j(x) \) finite element projection matrix
template<class real_type >
dg::TriDiagonal< dg::HVec_t< real_type > >	dg::create::fem_linear2const (const RealGrid1d< real_type > &g)
	\( S_{ij} = \frac{1}{w_i}\int c_i(x) v_j(x) \) finite element projection matrix
template<class real_type >
dg::KroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::fem_mass (const aRealTopology2d< real_type > &g)
	\( S_{ij} = \frac{1}{w_i}\int v_i(x) v_j(x) \) finite element projection matrix
template<class real_type >
dg::InverseKroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::inv_fem_mass (const aRealTopology2d< real_type > &g)
	Inverse finite element mass matrix \( S^{-1} \).
template<class real_type >
dg::KroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::fem_linear2const (const aRealTopology2d< real_type > &g)
	\( S_{ij} = \frac{1}{w_i}\int c_i(x) v_j(x) \) finite element projection matrix
template<class real_type >
dg::InverseKroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::inv_fem_linear2const (const aRealTopology2d< real_type > &g)
	Inverse finite element mass matrix \( S^{-1} \).
template<class real_type >
dg::KroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::fem_mass2d (const aRealTopology3d< real_type > &g)
	\( S_{ij} = \frac{1}{w_i}\int v_i(x) v_j(x) \) finite element projection matrix
template<class real_type >
dg::InverseKroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::inv_fem_mass2d (const aRealTopology3d< real_type > &g)
	Inverse finite element mass matrix \( S^{-1} \).
template<class real_type >
dg::KroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::fem_linear2const2d (const aRealTopology3d< real_type > &g)
	\( S_{ij} = \frac{1}{w_i}\int c_i(x) v_j(x) \) finite element projection matrix
template<class real_type >
dg::InverseKroneckerTriDiagonal2d< dg::HVec_t< real_type > >	dg::create::inv_fem_linear2const2d (const aRealTopology3d< real_type > &g)
	Inverse finite element mass matrix \( S^{-1} \).