Dune::MonomialLocalBasis< D, R, d, p > Class Template Reference

#include <dune/localfunctions/monomial/monomiallocalbasis.hh>

Public Types
typedef LocalBasisTraits< D, d, Dune::FieldVector< D, d >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, d > >	Traits
	export type traits for function signature

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

Static Public Member Functions
static constexpr unsigned int	size ()
	Number of shape functions.

Detailed Description

template<class D, class R, unsigned int d, unsigned int p>
class Dune::MonomialLocalBasis< D, R, d, p >

\brief Constant shape function

Defines the constant scalar shape function in d dimensions. Is
valid on any type of reference element.

\tparam D Type to represent the field in the domain.
\tparam R Type to represent the field in the range.
\tparam d Domain dimension

Template Parameters

p	polynomial order of the shapefunctions

Member Typedef Documentation

Traits

template<class D , class R , unsigned int d, unsigned int p>

typedef LocalBasisTraits<D,d,Dune::FieldVector<D,d>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,d> > Dune::MonomialLocalBasis< D, R, d, p >::Traits

export type traits for function signature

Member Function Documentation

evaluateFunction()

template<class D , class R , unsigned int d, unsigned int p>

void Dune::MonomialLocalBasis< D, R, d, p >::evaluateFunction ( const typename Traits::DomainType &  in, std::vector< typename Traits::RangeType > &  out  ) const

inline

Evaluate all shape functions.

evaluateJacobian()

template<class D , class R , unsigned int d, unsigned int p>

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

inline

Evaluate Jacobian of all shape functions.

order()

template<class D , class R , unsigned int d, unsigned int p>

unsigned int Dune::MonomialLocalBasis< D, R, d, p >::order ( ) const

inline

Polynomial order of the shape functions.

partial()

template<class D , class R , unsigned int d, unsigned int p>

void Dune::MonomialLocalBasis< D, R, d, p >::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

size()

template<class D , class R , unsigned int d, unsigned int p>

static constexpr unsigned int Dune::MonomialLocalBasis< D, R, d, p >::size ( )

inlinestaticconstexpr

Number of shape functions.

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

• monomiallocalbasis.hh