#include <lagrangespace.hh>

Detailed Description

template<class ScalarType, class GV, class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>
class Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >

Definition at line 381 of file lagrangespace.hh.

Inheritance diagram for Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >:

Public Types
typedef GV::IndexSet	IndexSet

typedef ScalarType	Scalar

typedef GV	GridView

using	Cell = typename Base::Cell

typedef GridView::Grid	Grid

using	ctype = typename Grid::ctype

using	ShapeFunctionSet = typename LagrangeShapeFunctionSetContainer< ctype, dim, Scalar, restricted >::value_type

typedef ScalarConverter< Cell, Scalar >	Converter

Public Member Functions
	ContinuousLagrangeMapperImplementation (GV const &gridView, int order, ShapeFunctionFilter shapeFunctionFilter=ShapeFunctionFilter())

int	dofOnEntity (Dune::GeometryType gt) const
	Returns the number of degrees of freedom (global ansatz functions) uniquely associated to the given subentity type. More...

template<class ShapeFunction , class Data >
void	entityIndex (Cell const &cell, ShapeFunction const &sf, int n, Dune::GeometryType &gt, int &subentity, int &codim, int &indexInSubentity, Data &data) const
	Returns the geometry type, subentity number in cell and subentity codimension for the subentity to which the dof is associated. More...

void	update ()
	This is called on grid modifications and can be overwritten if internal data needs to be recomputed on refinement or coarsening. More...

IndexSet const &	indexSet () const
	The index set obtained from gridView(). More...

size_t	size (Dune::GeometryType gt) const
	The number of entities of given geometry type in our support. More...

bool	inSupport (Cell const &cell) const
	Tells whether the given cell is contained in the support. More...

IndexSet::IndexType	subIndex (Cell const &cell, int subentity, int codim) const
	Returns the index of the specified subentity. More...

GridView const &	gridView () const

ShapeFunctionSet const &	shapeFunctions (Cell const &cell) const

ShapeFunctionSet const &	lowerShapeFunctions (Cell const &cell) const

ShapeFunctionSet const &	emptyShapeFunctionSet () const

int	order () const

template<class Data , class GridView , class Cell >
void	treatBoundary (Data &, GridView const &, Cell const &, int, int) const

Static Public Attributes
static int const	dim

Member Typedef Documentation

◆ Cell

template<class ScalarType , class GV , class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>

using Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::Cell = typename Base::Cell

Definition at line 391 of file lagrangespace.hh.

◆ Converter

typedef ScalarConverter<Cell,Scalar> Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Converter

inherited

Definition at line 163 of file lagrangespace.hh.

◆ ctype

using Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::ctype = typename Grid::ctype

inherited

Definition at line 60 of file lagrangespace.hh.

◆ Grid

typedef GridView::Grid Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Grid

inherited

Definition at line 56 of file lagrangespace.hh.

◆ GridView

template<class ScalarType , class GV , class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>

typedef GV Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::GridView

Definition at line 390 of file lagrangespace.hh.

◆ IndexSet

template<class ScalarType , class GV , class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>

typedef GV::IndexSet Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::IndexSet

Definition at line 388 of file lagrangespace.hh.

◆ Scalar

template<class ScalarType , class GV , class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>

typedef ScalarType Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::Scalar

Definition at line 389 of file lagrangespace.hh.

◆ ShapeFunctionSet

using Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::ShapeFunctionSet = typename LagrangeShapeFunctionSetContainer<ctype,dim,Scalar,restricted>::value_type

inherited

Definition at line 64 of file lagrangespace.hh.

Constructor & Destructor Documentation

◆ ContinuousLagrangeMapperImplementation()

template<class ScalarType , class GV , class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>

Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::ContinuousLagrangeMapperImplementation	(	GV const &	gridView,
		int	order,
		ShapeFunctionFilter	shapeFunctionFilter = `ShapeFunctionFilter()`
	)

inline

Definition at line 393 of file lagrangespace.hh.

Member Function Documentation

◆ dofOnEntity()

template<class ScalarType , class GV , class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>

int Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::dofOnEntity ( Dune::GeometryType gt ) const

inline

Returns the number of degrees of freedom (global ansatz functions) uniquely associated to the given subentity type.

Definition at line 403 of file lagrangespace.hh.

◆ emptyShapeFunctionSet()

ShapeFunctionSet const & Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::emptyShapeFunctionSet ( ) const

inlineinherited

Definition at line 154 of file lagrangespace.hh.

◆ entityIndex()

template<class ScalarType , class GV , class ShapeFunctionFilter = ScalarSpaceDetail::AllShapeFunctions>

template<class ShapeFunction , class Data >

void Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::entityIndex	(	Cell const &	cell,
		ShapeFunction const &	sf,
		int	n,
		Dune::GeometryType &	gt,
		int &	subentity,
		int &	codim,
		int &	indexInSubentity,
		Data &	data
	)		const

inline

Returns the geometry type, subentity number in cell and subentity codimension for the subentity to which the dof is associated.

Here we have a continuous discretization, where all dofs are associated to the entities on which the shape function node is located.

Parameters

[out]	gt	the geometry type of the subentity on which the shape function lies
[out]	subentity	the number of the subentity on which the shape function lies
[out]	codim	the codimension of the subentity on which the shape function lies
[out]	indexInSubentity
[out]	data

Definition at line 437 of file lagrangespace.hh.

◆ gridView()

GridView const & Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::gridView ( ) const

inlineinherited

Definition at line 111 of file lagrangespace.hh.

◆ indexSet()

IndexSet const & Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::indexSet ( ) const

inlineinherited

The index set obtained from gridView().

Definition at line 79 of file lagrangespace.hh.

◆ inSupport()

bool Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::inSupport ( Cell const & cell ) const

inlineinherited

Tells whether the given cell is contained in the support.

The default implementation realizes global support, i.e., all cells are contained.

Definition at line 97 of file lagrangespace.hh.

◆ lowerShapeFunctions()

ShapeFunctionSet const & Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::lowerShapeFunctions ( Cell const & cell ) const

inlineinherited

Definition at line 149 of file lagrangespace.hh.

◆ order()

int Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::order ( ) const

inlineinherited

Definition at line 160 of file lagrangespace.hh.

◆ shapeFunctions()

ShapeFunctionSet const & Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::shapeFunctions ( Cell const & cell ) const

inlineinherited

Definition at line 136 of file lagrangespace.hh.

◆ size()

size_t Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::size ( Dune::GeometryType gt ) const

inlineinherited

The number of entities of given geometry type in our support.

The default implementation just repoththrts the total number of entities in the grid view, which corresponds to global support.

Definition at line 87 of file lagrangespace.hh.

◆ subIndex()

IndexSet::IndexType Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::subIndex	(	Cell const &	cell,
		int	subentity,
		int	codim
	)		const

inlineinherited

Returns the index of the specified subentity.

Definition at line 105 of file lagrangespace.hh.

◆ treatBoundary()

template<class Data , class GridView , class Cell >

void Kaskade::ScalarSpaceDetail::AllShapeFunctions::treatBoundary	(	Data &	,
		GridView const &	,
		Cell const &	,
		int	,
		int
	)		const

inlineinherited

Definition at line 162 of file scalarspace.hh.

Referenced by Kaskade::ContinuousHierarchicMapperImplementation< Scalar, GV, ShapeFunctionFilter >::entityIndex(), Kaskade::ContinuousHierarchicExtensionMapperImplementation< Scalar, GV, ShapeFunctionFilter >::entityIndex(), and Kaskade::ContinuousLagrangeMapperImplementation< ScalarType, GV, ShapeFunctionFilter >::entityIndex().

◆ update()

void Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::update ( )

inlineinherited

This is called on grid modifications and can be overwritten if internal data needs to be recomputed on refinement or coarsening.

The default implementation provided here does nothing.

Definition at line 72 of file lagrangespace.hh.

Member Data Documentation

◆ dim

int const Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::dim

staticinherited

Definition at line 62 of file lagrangespace.hh.

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

Detailed Description

Public Types

Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Cell

◆ Converter

◆ ctype

◆ Grid

◆ GridView

◆ IndexSet

◆ Scalar

◆ ShapeFunctionSet

Constructor & Destructor Documentation

◆ ContinuousLagrangeMapperImplementation()

Member Function Documentation

◆ dofOnEntity()

◆ emptyShapeFunctionSet()

◆ entityIndex()

◆ gridView()

◆ indexSet()

◆ inSupport()

◆ lowerShapeFunctions()

◆ order()

◆ shapeFunctions()

◆ size()

◆ subIndex()

◆ treatBoundary()

◆ update()

Member Data Documentation

◆ dim