Dune::QkLocalBasis< D, R, k, d > Class Template Reference

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

#include <dune/localfunctions/lagrange/qk/qklocalbasis.hh>

Public Member Functions
unsigned int	size () const
	number of shape functions
void	evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions.
void	evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
	Evaluate Jacobian of all shape functions. More...
void	partial (const std::array< unsigned int, d > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate partial derivatives of any order of all shape functions. More...
unsigned int	order () const
	Polynomial order of the shape functions.

Detailed Description

template<class D, class R, int k, int d>
class Dune::QkLocalBasis< 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 Function Documentation

evaluateJacobian()

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

void Dune::QkLocalBasis< D, R, k, d >::evaluateJacobian ( const typename Traits::DomainType &  in, std::vector< typename Traits::JacobianType > &  out  ) const

inline

Evaluate Jacobian of all shape functions.

Parameters

in	position where to evaluate
out	The return value

References Dune::QkLocalBasis< D, R, k, d >::size().

partial()

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

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

inline

Evaluate partial derivatives of any order of all shape functions.

Parameters

	order	Order of the partial derivatives, in the classic multi-index notation
	in	Position where to evaluate the derivatives
[out]	out	Return value: the desired partial derivatives

References DUNE_THROW, Dune::QkLocalBasis< D, R, k, d >::order(), and Dune::QkLocalBasis< D, R, k, d >::size().

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

• dune/localfunctions/lagrange/qk/qklocalbasis.hh