dune-pdelab: Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d > Class Template Reference

DUNE

dune-pdelab 2.10-git

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Lagrange shape functions of order k on the reference cube. More...

#include <dune/pdelab/finiteelement/qkdglegendre.hh>

Public Types
typedef LocalBasisTraits< D, d, Dune::FieldVector< D, d >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, d > >	Traits

Public Member Functions
	DGLegendreLocalBasis ()

unsigned int	size () const
	number of shape functions

void	evaluateFunction (const typename Traits::DomainType &x, std::vector< typename Traits::RangeType > &value) const
	Evaluate all shape functions.

void	evaluateJacobian (const typename Traits::DomainType &x, std::vector< typename Traits::JacobianType > &value) const
	Evaluate Jacobian of all shape functions.

void	partial (const std::array< unsigned int, Traits::dimDomain > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate partial derivative of all shape functions.

unsigned int	order () const
	Polynomial order of the shape functions.

Detailed Description

template<class D, class R, int k, int d>
class Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >

Lagrange shape functions of order k on the reference cube.

Also known as \(Q^k\).

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
k	Polynomial degree
d	Dimension of the cube

Member Typedef Documentation

◆ Traits

template<class D , class R , int k, int d>

typedef LocalBasisTraits<D,d,Dune::FieldVector<D,d>,R,1,Dune::FieldVector<R,1>,Dune::FieldMatrix<R,1,d> > Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >::Traits

Constructor & Destructor Documentation

◆ DGLegendreLocalBasis()

template<class D , class R , int k, int d>

Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >::DGLegendreLocalBasis ( )

inline

Member Function Documentation

◆ evaluateFunction()

template<class D , class R , int k, int d>

void Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >::evaluateFunction	(	const typename Traits::DomainType &	x,
		std::vector< typename Traits::RangeType > &	value
	)		const

inline

Evaluate all shape functions.

◆ evaluateJacobian()

template<class D , class R , int k, int d>

void Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >::evaluateJacobian	(	const typename Traits::DomainType &	x,
		std::vector< typename Traits::JacobianType > &	value
	)		const

inline

Evaluate Jacobian of all shape functions.

◆ order()

template<class D , class R , int k, int d>

unsigned int Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >::order ( ) const

inline

Polynomial order of the shape functions.

◆ partial()

template<class D , class R , int k, int d>

void Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >::partial	(	const std::array< unsigned int, Traits::dimDomain > &	order,
		const typename Traits::DomainType &	in,
		std::vector< typename Traits::RangeType > &	out
	)		const

inline

Evaluate partial derivative of all shape functions.

◆ size()

template<class D , class R , int k, int d>

unsigned int Dune::LegendreStuff::DGLegendreLocalBasis< D, R, k, d >::size ( ) const

inline

number of shape functions

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

qkdglegendre.hh