Dune::CubeQ1BubbleLocalBasis< D, R, dim > Class Template Reference

Q1 basis in dim-d enriched by an (order 2) element bubble function. More...

#include <dune/localfunctions/enriched/cubeq1bubble/localbasis.hh>

Public Types
using	Traits = LocalBasisTraits<D,dim,DomainType,R,1,RangeType,JacobianType>
	Type traits for function signature.

Static Public Member Functions
static constexpr std::size_t	size () noexcept
	Returns number of shape functions.
static constexpr void	evaluateFunction (const DomainType &x, std::vector< RangeType > &out)
	Evaluate all shape functions.
static constexpr void	evaluateJacobian (const DomainType &x, std::vector< JacobianType > &out)
	Evaluate Jacobian of all shape functions.
static constexpr void	partial (const std::array< unsigned int, dim > &order, const DomainType &x, std::vector< RangeType > &out)
	Evaluate partial derivatives of all shape functions.
static constexpr unsigned int	order () noexcept
	Returns maximal polynomial order of the basis functions.

Friends
template<class>
class	CubeQ1BubbleLocalInterpolation

Detailed Description

template<class D, class R, int dim>
class Dune::CubeQ1BubbleLocalBasis< D, R, dim >

Q1 basis in dim-d enriched by an (order 2) element bubble function.

The shape functions are associated to the vertices and to the barycenter. The bubble function is the product of the edge bubble basis functions scaled by the factor 2^(2^dim). The edge bubble functions are the product of the corresponding vertex basis functions.

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.

Member Typedef Documentation

Traits

template<class D, class R, int dim>

using Dune::CubeQ1BubbleLocalBasis< D, R, dim >::Traits = LocalBasisTraits<D,dim,DomainType,R,1,RangeType,JacobianType>

Type traits for function signature.

Member Function Documentation

evaluateFunction()

template<class D, class R, int dim>

constexpr void Dune::CubeQ1BubbleLocalBasis< D, R, dim >::evaluateFunction ( const DomainType & x, std::vector< RangeType > & out )

inlinestaticconstexpr

Evaluate all shape functions.

evaluateJacobian()

template<class D, class R, int dim>

constexpr void Dune::CubeQ1BubbleLocalBasis< D, R, dim >::evaluateJacobian ( const DomainType & x, std::vector< JacobianType > & out )

inlinestaticconstexpr

Evaluate Jacobian of all shape functions.

order()

template<class D, class R, int dim>

constexpr unsigned int Dune::CubeQ1BubbleLocalBasis< D, R, dim >::order ( )

inlinestaticconstexprnoexcept

Returns maximal polynomial order of the basis functions.

partial()

template<class D, class R, int dim>

constexpr void Dune::CubeQ1BubbleLocalBasis< D, R, dim >::partial ( const std::array< unsigned int, dim > & order, const DomainType & x, std::vector< RangeType > & out )

inlinestaticconstexpr

Evaluate partial derivatives of all shape functions.

size()

template<class D, class R, int dim>

constexpr std::size_t Dune::CubeQ1BubbleLocalBasis< D, R, dim >::size ( )

inlinestaticconstexprnoexcept

Returns number of shape functions.

Friends And Related Symbol Documentation

CubeQ1BubbleLocalInterpolation

template<class D, class R, int dim>

template<class>

friend class CubeQ1BubbleLocalInterpolation

friend

---

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

• enriched/cubeq1bubble/localbasis.hh