fast_interpolation.h File Reference

A matrix type for fast interpolations/projections. More...

#include <thrust/host_vector.h>
#include "dg/backend/memory.h"
#include "dg/backend/typedefs.h"
#include "dg/enums.h"
#include "dg/blas.h"
#include "grid.h"
#include "derivatives.h"
#include "interpolation.h"
#include "projection.h"
#include "mpi_grid.h"
#include "mpi_derivatives.h"

Go to the source code of this file.

Classes
struct	dg::MultiMatrix< MatrixType, ContainerType >
	Struct that applies given matrices one after the other. 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::HMatrix_t< real_type >	dg::create::fast_interpolation1d (const RealGrid1d< real_type > &t, unsigned multiplyn, unsigned multiplyNx)
	Create interpolation matrix for integer multipliers.
template<class real_type >
dg::HMatrix_t< real_type >	dg::create::fast_projection1d (const RealGrid1d< real_type > &t, unsigned dividen, unsigned divideNx)
	Create projecton matrix for integer dividers.
template<class real_type >
dg::HMatrix_t< real_type >	dg::create::fast_transform1d (const dg::SquareMatrix< real_type > &opx, const RealGrid1d< real_type > &t)
	Create a block-diagonal matrix.
template<class real_type , size_t Nd>
EllSparseBlockMat< real_type, thrust::host_vector >	dg::create::fast_interpolation (unsigned coord, const aRealTopology< real_type, Nd > &t, unsigned multiplyn, unsigned multiplyNx)
	Create interpolation matrix for integer multipliers.
template<class real_type , size_t Nd>
EllSparseBlockMat< real_type, thrust::host_vector >	dg::create::fast_projection (unsigned coord, const aRealTopology< real_type, Nd > &t, unsigned dividen, unsigned divideNx)
	Create projecton matrix for integer dividers.
template<class real_type , size_t Nd>
EllSparseBlockMat< real_type, thrust::host_vector >	dg::create::fast_transform (unsigned coord, const dg::SquareMatrix< real_type > &opx, const aRealTopology< real_type, Nd > &t)
	Create a block-diagonal matrix.
template<class real_type , size_t Nd>
dg::MHMatrix_t< real_type >	dg::create::fast_interpolation (unsigned coord, const aRealMPITopology< real_type, Nd > &t, unsigned multiplyn, unsigned multiplyNx)
	Create interpolation matrix for integer multipliers.
template<class real_type , size_t Nd>
dg::MHMatrix_t< real_type >	dg::create::fast_projection (unsigned coord, const aRealMPITopology< real_type, Nd > &t, unsigned dividen, unsigned divideNx)
	Create projecton matrix for integer dividers.
template<class real_type , size_t Nd>
MHMatrix_t< real_type >	dg::create::fast_transform (unsigned coord, dg::SquareMatrix< real_type > opx, const aRealMPITopology< real_type, Nd > &t)
	Create a block-diagonal matrix.
template<class Topology >
auto	dg::create::fast_interpolation (const Topology &t, unsigned multiplyn, unsigned multiplyNx, unsigned multiplyNy)
	Create interpolation matrix for integer multipliers in the first 2 grid dimensions.
template<class Topology >
auto	dg::create::fast_projection (const Topology &t, unsigned dividen, unsigned divideNx, unsigned divideNy)
	Create projection matrix for integer dividers in the first 2 grid dimensions.
template<class Topology >
auto	dg::create::fast_transform (const dg::SquareMatrix< typename Topology::value_type > &opx, const dg::SquareMatrix< typename Topology::value_type > &opy, const Topology &t)
	Create transform matrix in the first 2 grid dimensions.
template<class Topology >
Topology::host_vector	dg::forward_transform (const typename Topology::host_vector &in, const Topology &g)
	Transform a vector from dg::xspace (nodal values) to dg::lspace (modal values)

Detailed Description

A matrix type for fast interpolations/projections.