projection.h File Reference

Creation of projection matrices. More...

#include <vector>
#include "grid.h"
#include "interpolation.h"
#include "weights.h"
#include "fem.h"

Go to the source code of this file.

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 T >
T	dg::gcd (T a, T b)
	Greatest common divisor.
template<class T >
T	dg::lcm (T a, T b)
	Least common multiple.
template<class real_type >
dg::SparseMatrix< int, real_type, thrust::host_vector >	dg::create::diagonal (const thrust::host_vector< real_type > &diagonal)
	Create a diagonal matrix.
template<class real_type , size_t Nd>
dg::SparseMatrix< int, real_type, thrust::host_vector >	dg::create::projection (const aRealTopology< real_type, Nd > &g_new, const aRealTopology< real_type, Nd > &g_old, std::string method="dg")
	Create a projection between two grids.
template<class real_type , size_t Nd>
dg::SparseMatrix< int, real_type, thrust::host_vector >	dg::create::transformation (const aRealTopology< real_type, Nd > &g_new, const aRealTopology< real_type, Nd > &g_old)
	Create a transformation matrix between two grids.
template<class real_type , size_t Nd>
dg::IHMatrix_t< real_type >	dg::create::backproject (const aRealTopology< real_type, Nd > &g)
	Create a matrix \( PI\) that projects values to an equidistant grid.
template<class real_type , size_t Nd>
dg::IHMatrix_t< real_type >	dg::create::inv_backproject (const aRealTopology< real_type, Nd > &g)
	Create a matrix \( (PI)^{-1}\) that transforms values from an equidistant grid back to a dg grid.

Detailed Description

Creation of projection matrices.