A local to global mapper for scalar Lagrange bases. More...

#include <lagrangespace.hh>

Detailed Description

template<class ScalarType, class GV, bool restricted = false>
class Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >

A local to global mapper for scalar Lagrange bases.

This is to be used as a policy object for the UniformScalarMapper.

Template Parameters

ScalarType	The underlying field type (usually double).
GV	The grid view on which the FE space is defined.
restricted

Definition at line 50 of file lagrangespace.hh.

Inheritance diagram for Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >:

Classes
class	Combiner
	A class implementing a matrix \( K \in \R^{n\times m}\) mapping a subset of \( m \) global degrees of freedom (those given by globalIndices()) to \( n \) local degrees of freedom (shape functions). More...

Public Types
typedef ScalarType	Scalar

typedef GV	GridView

typedef GridView::Grid	Grid

typedef GridView::IndexSet	IndexSet

using	Cell = Kaskade::Cell< GridView >

using	ctype = typename Grid::ctype

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

typedef ScalarConverter< Cell, Scalar >	Converter

Public Member Functions
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

	LagrangeMapperImplementation (GridView const &gridView_, int order_)

ShapeFunctionSet const &	shapeFunctions (Cell const &cell) const

ShapeFunctionSet const &	lowerShapeFunctions (Cell const &cell) const

ShapeFunctionSet const &	emptyShapeFunctionSet () const

int	order () const

Static Public Attributes
static int const	dim = Grid::dimension

Member Typedef Documentation

◆ Cell

template<class ScalarType , class GV , bool restricted = false>

using Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Cell = Kaskade::Cell<GridView>

Definition at line 58 of file lagrangespace.hh.

◆ Converter

template<class ScalarType , class GV , bool restricted = false>

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

Definition at line 163 of file lagrangespace.hh.

◆ ctype

template<class ScalarType , class GV , bool restricted = false>

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

Definition at line 60 of file lagrangespace.hh.

◆ Grid

template<class ScalarType , class GV , bool restricted = false>

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

Definition at line 56 of file lagrangespace.hh.

◆ GridView

template<class ScalarType , class GV , bool restricted = false>

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

Definition at line 55 of file lagrangespace.hh.

◆ IndexSet

template<class ScalarType , class GV , bool restricted = false>

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

Definition at line 57 of file lagrangespace.hh.

◆ Scalar

template<class ScalarType , class GV , bool restricted = false>

typedef ScalarType Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Scalar

Definition at line 53 of file lagrangespace.hh.

◆ ShapeFunctionSet

template<class ScalarType , class GV , bool restricted = false>

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

Definition at line 64 of file lagrangespace.hh.

Constructor & Destructor Documentation

◆ LagrangeMapperImplementation()

template<class ScalarType , class GV , bool restricted = false>

Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::LagrangeMapperImplementation	(	GridView const &	gridView_,
		int	order_
	)

inline

Parameters

indexSet_	must contain a subset (or all) of the cells in the grid.
order_	.

Definition at line 117 of file lagrangespace.hh.

Member Function Documentation

◆ emptyShapeFunctionSet()

template<class ScalarType , class GV , bool restricted = false>

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

inline

Definition at line 154 of file lagrangespace.hh.

◆ gridView()

template<class ScalarType , class GV , bool restricted = false>

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

inline

Definition at line 111 of file lagrangespace.hh.

◆ indexSet()

template<class ScalarType , class GV , bool restricted = false>

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

inline

The index set obtained from gridView().

Definition at line 79 of file lagrangespace.hh.

Referenced by Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::size(), and Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::subIndex().

◆ inSupport()

template<class ScalarType , class GV , bool restricted = false>

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

inline

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()

template<class ScalarType , class GV , bool restricted = false>

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

inline

Definition at line 149 of file lagrangespace.hh.

◆ order()

template<class ScalarType , class GV , bool restricted = false>

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

inline

Definition at line 160 of file lagrangespace.hh.

Referenced by Kaskade::DiscontinuousLagrangeMapperImplementation< ScalarType, GV >::dofOnEntity().

◆ shapeFunctions()

template<class ScalarType , class GV , bool restricted = false>

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

inline

Definition at line 136 of file lagrangespace.hh.

◆ size()

template<class ScalarType , class GV , bool restricted = false>

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

inline

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()

template<class ScalarType , class GV , bool restricted = false>

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

inline

Returns the index of the specified subentity.

Definition at line 105 of file lagrangespace.hh.

◆ update()

template<class ScalarType , class GV , bool restricted = false>

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

inline

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

template<class ScalarType , class GV , bool restricted = false>

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

static

Definition at line 62 of file lagrangespace.hh.

Referenced by Kaskade::DiscontinuousLagrangeMapperImplementation< ScalarType, GV >::dofOnEntity(), and Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::LagrangeMapperImplementation().

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

lagrangespace.hh

Detailed Description

Classes

Public Types

Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Cell

◆ Converter

◆ ctype

◆ Grid

◆ GridView

◆ IndexSet

◆ Scalar

◆ ShapeFunctionSet

Constructor & Destructor Documentation

◆ LagrangeMapperImplementation()

Member Function Documentation

◆ emptyShapeFunctionSet()

◆ gridView()

◆ indexSet()

◆ inSupport()

◆ lowerShapeFunctions()

◆ order()

◆ shapeFunctions()

◆ size()

◆ subIndex()

◆ update()

Member Data Documentation

◆ dim