This class caches values and derivatives of shape functions at quadrature points. More...

#include <shapefunctioncache.hh>

Detailed Description

template<class G, class T, int ComponentsEnd = 4>
class Kaskade::ShapeFunctionCache< G, T, ComponentsEnd >

This class caches values and derivatives of shape functions at quadrature points.

Limitations are:

The number of components of shape functions is limited (to one below the template parameter ComponentsEnd).
Since evaluating the shape functions may modify the internal cache data structure, this is NOT thread safe. Every thread should use its own ShapeFunctionCache.

Template Parameters

G	the grid type
T	the scalar field type
ComponentsEnd	upper bound on the number of components of the shape functions

Todo:: make shape function cache independent of grid type - only coordinate type and dimension are required

Definition at line 115 of file shapefunctioncache.hh.

Classes
struct	DataType
	Defines the type returned by evaluate(sfs,qr,subId). More...

struct	LocalDataType
	Defines the type returned by evaluate(sfs,qr,ip,subId). More...

Public Member Functions
template<int nComp, int subDim>
Dune::FieldVector< T, nComp >	evaluateFunction (ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &sfs, int isf, Dune::QuadratureRule< typename G::ctype, subDim > const &qr, int ip, int subId)
	Evaluate comp-th component of isf-th shape function of the shape function set sfs ath the ip-th integration point of quadrature rule qr. More...

template<int nComp, int subDim>
Dune::FieldMatrix< T, nComp, G::dimension > const &	evaluateDerivative (ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &sfs, int isf, Dune::QuadratureRule< typename G::ctype, subDim > const &qr, int ip, int subId)
	Evaluate derivative of comp-th component of isf-th shape function of the shape function set sfs ath the ip-th integration point of quadrature rule qr. More...

template<int nComp, int subDim>
LocalDataType< nComp >::type	evaluate (ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &sfs, Dune::QuadratureRule< typename G::ctype, subDim > const &qr, int ip, int subId)
	Returns the values of all shape functions at given integration point. More...

template<int nComp, int subDim>
DataType< nComp >::type const &	evaluate (ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &sfs, Dune::QuadratureRule< typename G::ctype, subDim > const &qr, int subId)
	Returns the values of all shape functions. More...

int	maximumSubentityIndex () const
	Reports the maximum subentity number that is allowed. More...

Member Function Documentation

◆ evaluate() [1/2]

template<class G , class T , int ComponentsEnd = 4>

template<int nComp, int subDim>

LocalDataType< nComp >::type Kaskade::ShapeFunctionCache< G, T, ComponentsEnd >::evaluate	(	ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &	sfs,
		Dune::QuadratureRule< typename G::ctype, subDim > const &	qr,
		int	ip,
		int	subId
	)

inline

Returns the values of all shape functions at given integration point.

The return value can be indexed by shape function number, yielding a pair of value and derivative of the shape function's component.

E.g., the value can be obtained by evaluate(sfs,qr,ip,subId)[isf].value

This method is explicitly NOT thread safe. Use one cache object per thread.

Parameters

subId the index of the subentity in the cell (has to be between 0 and the maximum supported subentity number)

Definition at line 220 of file shapefunctioncache.hh.

Referenced by Kaskade::FEFunctionSpace< LocalToGlobalMapper >::Evaluator::evaluateAt(), and Kaskade::FEFunctionSpace< LocalToGlobalMapper >::Evaluator::useQuadratureRule().

◆ evaluate() [2/2]

template<class G , class T , int ComponentsEnd = 4>

template<int nComp, int subDim>

DataType< nComp >::type const & Kaskade::ShapeFunctionCache< G, T, ComponentsEnd >::evaluate	(	ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &	sfs,
		Dune::QuadratureRule< typename G::ctype, subDim > const &	qr,
		int	subId
	)

inline

Returns the values of all shape functions.

The return value can be indexed by shape function number, yielding a pair of value and derivative of the shape function's component.

E.g., the value can be obtained by evaluate(sfs,qr,subId)[ip][isf].value

This method is explicitly NOT thread safe. Use one cache object per thread.

Parameters

subId the index of the subentity in the cell (has to be between 0 and the maximum supported subentity number)

Definition at line 245 of file shapefunctioncache.hh.

◆ evaluateDerivative()

template<class G , class T , int ComponentsEnd = 4>

template<int nComp, int subDim>

Dune::FieldMatrix< T, nComp, G::dimension > const & Kaskade::ShapeFunctionCache< G, T, ComponentsEnd >::evaluateDerivative	(	ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &	sfs,
		int	isf,
		Dune::QuadratureRule< typename G::ctype, subDim > const &	qr,
		int	ip,
		int	subId
	)

inline

Evaluate derivative of comp-th component of isf-th shape function of the shape function set sfs ath the ip-th integration point of quadrature rule qr.

This method is explicitly NOT thread safe. Use one cache object per thread.

Definition at line 196 of file shapefunctioncache.hh.

◆ evaluateFunction()

template<class G , class T , int ComponentsEnd = 4>

template<int nComp, int subDim>

Dune::FieldVector< T, nComp > Kaskade::ShapeFunctionCache< G, T, ComponentsEnd >::evaluateFunction	(	ShapeFunctionSet< typename G::ctype, G::dimension, T, nComp > const &	sfs,
		int	isf,
		Dune::QuadratureRule< typename G::ctype, subDim > const &	qr,
		int	ip,
		int	subId
	)

inline

Evaluate comp-th component of isf-th shape function of the shape function set sfs ath the ip-th integration point of quadrature rule qr.

This method is explicitly NOT thread safe. Use one cache object per thread.

Definition at line 180 of file shapefunctioncache.hh.

◆ maximumSubentityIndex()

template<class G , class T , int ComponentsEnd = 4>

int Kaskade::ShapeFunctionCache< G, T, ComponentsEnd >::maximumSubentityIndex ( ) const

inline

Reports the maximum subentity number that is allowed.

Definition at line 256 of file shapefunctioncache.hh.

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

shapefunctioncache.hh

Detailed Description

Classes

Public Member Functions

Member Function Documentation

◆ evaluate() [1/2]

◆ evaluate() [2/2]

◆ evaluateDerivative()

◆ evaluateFunction()

◆ maximumSubentityIndex()