dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container > Class Template Reference

The refined version of Elliptic. More...

Public Types
using	geometry_type = Geometry
using	matrix_type = Matrix
using	container_type = Container
using	value_type = get_value_type<Container>

Public Member Functions
	RefinedElliptic (const Geometry &g_coarse, const Geometry &g_fine, direction dir=forward)
	Construct from a coarse and a fine grid.
	RefinedElliptic (const Geometry &g_coarse, const Geometry &g_fine, bc bcx, bc bcy, direction dir=forward)
	Construct from grid and boundary conditions.
template<class ContainerType0 >
void	set_chi (const ContainerType0 &chi)
	Change Chi.
const Container &	weights () const
const Container &	precond () const
	Returns the preconditioner to use in conjugate gradient.
template<class ContainerType0 , class ContainerType1 >
void	symv (const ContainerType0 &x, ContainerType1 &y)
	Computes the polarisation term.

Detailed Description

template<class Geometry, class IMatrix, class Matrix, class Container>
class dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >

The refined version of Elliptic.

Holds an Elliptic object on the fine grid and brackets every call to symv with interpolation and projection matrices

Template Parameters

Geometry	A type that is or derives from one of the abstract geometry base classes ( aGeometry2d, aGeometry3d, aMPIGeometry2d, ...). Geometry determines which Matrix and Container types can be used:
Matrix	A class for which the dg::blas2::symv functions are callable in connection with the Container class and to which the return type of dg::create::dx() can be converted using dg::blas2::transfer. The Matrix type can be one of: dg::HMatrix with dg::HVec and one of the shared memory geometries dg::DMatrix with dg::DVec and one of the shared memory geometries dg::MHMatrix with dg::MHVec and one of the MPI geometries dg::MDMatrix with dg::MDVec and one of the MPI geometries
Container	A data container class for which the blas1 functionality is overloaded and to which the return type of blas1::subroutine() can be converted using dg::assign. We assume that Container is copyable/assignable and has a swap member function. In connection with Geometry this is one of dg::HVec, dg::DVec when Geometry is a shared memory geometry dg::MHVec or dg::MDVec when Geometry is one of the MPI geometries

Attention

This class is still under construction!

Member Typedef Documentation

container_type

template<class Geometry , class IMatrix , class Matrix , class Container >

using dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::container_type = Container

geometry_type

template<class Geometry , class IMatrix , class Matrix , class Container >

using dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::geometry_type = Geometry

matrix_type

template<class Geometry , class IMatrix , class Matrix , class Container >

using dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::matrix_type = Matrix

value_type

template<class Geometry , class IMatrix , class Matrix , class Container >

using dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::value_type = get_value_type<Container>

Constructor & Destructor Documentation

RefinedElliptic() [1/2]

template<class Geometry , class IMatrix , class Matrix , class Container >

dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::RefinedElliptic ( const Geometry & g_coarse, const Geometry & g_fine, direction dir = forward )

inline

Construct from a coarse and a fine grid.

Parameters

g_coarse	The coarse Grid
g_fine	The fine Grid, boundary conditions are taken from here
dir	Direction of the right first derivative

RefinedElliptic() [2/2]

template<class Geometry , class IMatrix , class Matrix , class Container >

dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::RefinedElliptic ( const Geometry & g_coarse, const Geometry & g_fine, bc bcx, bc bcy, direction dir = forward )

inline

Construct from grid and boundary conditions.

Parameters

g_coarse	The coarse Grid
g_fine	The fine Grid
bcx	boundary condition in x
bcy	boundary contition in y
dir	Direction of the right first derivative (i.e. forward, backward or centered)

Member Function Documentation

precond()

template<class Geometry , class IMatrix , class Matrix , class Container >

const Container & dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::precond ( ) const

inline

Returns the preconditioner to use in conjugate gradient.

Returns

inverse weights

set_chi()

template<class Geometry , class IMatrix , class Matrix , class Container >

template<class ContainerType0 >

void dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::set_chi ( const ContainerType0 & chi )

inline

Change Chi.

Parameters

chi	The new chi

Template Parameters

ContainerTypes

must be usable with Container in The dg dispatch system

symv()

template<class Geometry , class IMatrix , class Matrix , class Container >

template<class ContainerType0 , class ContainerType1 >

void dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::symv ( const ContainerType0 & x, ContainerType1 & y )

inline

Computes the polarisation term.

Parameters

x	left-hand-side
y	result

Template Parameters

ContainerTypes

must be usable with Container in The dg dispatch system

weights()

template<class Geometry , class IMatrix , class Matrix , class Container >

const Container & dg::RefinedElliptic< Geometry, IMatrix, Matrix, Container >::weights ( ) const

inline

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

• refined_elliptic.h