Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId > Class Template Reference

P1/Q1 + Bubble on the reference element. More...

#include <dumux/discretization/pq1bubble/pq1bubblelocalfiniteelement.hh>

Description

template<class D, class R, unsigned int dim, Dune::GeometryType::Id typeId>
class Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >

P1/Q1 + Bubble on the reference element.

Template Parameters

D	Type to represent the field in the domain
R	Type to represent the field in the range
dim	Dimension of the domain element
typeId	The geometry type

Public Types
using	Traits = Dune::LocalBasisTraits< D, dim, Dune::FieldVector< D, dim >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, dim > >

Public Member Functions
	PQ1BubbleLocalBasis ()
void	evaluateFunction (const typename Traits::DomainType &x, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions. More...
void	evaluateJacobian (const typename Traits::DomainType &x, std::vector< typename Traits::JacobianType > &out) const
	Evaluate the Jacobians of all shape functions. More...
void	partial (const std::array< unsigned int, dim > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate partial derivatives of any order of all shape functions. More...

Static Public Member Functions
static constexpr unsigned int	size ()
	Number of shape functions (one for each vertex and one in the element) More...
static constexpr unsigned int	order ()
	Evaluate the Jacobians of all shape functions we are actually cubic/quartic but cannot represent all cubic/quartic polynomials. More...
static constexpr Dune::GeometryType	type ()
	The reference element type. More...

Member Typedef Documentation

Traits

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

using Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::Traits = Dune::LocalBasisTraits< D, dim, Dune::FieldVector<D, dim>, R, 1, Dune::FieldVector<R, 1>, Dune::FieldMatrix<R, 1, dim> >

Constructor & Destructor Documentation

PQ1BubbleLocalBasis()

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::PQ1BubbleLocalBasis ( )

inline

Member Function Documentation

evaluateFunction()

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

void Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::evaluateFunction ( const typename Traits::DomainType &  x, std::vector< typename Traits::RangeType > &  out  ) const

inline

Evaluate all shape functions.

evaluateJacobian()

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

void Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::evaluateJacobian ( const typename Traits::DomainType &  x, std::vector< typename Traits::JacobianType > &  out  ) const

inline

Evaluate the Jacobians of all shape functions.

order()

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

static constexpr unsigned int Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::order ( )

inlinestaticconstexpr

Evaluate the Jacobians of all shape functions we are actually cubic/quartic but cannot represent all cubic/quartic polynomials.

partial()

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

void Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::partial ( const std::array< unsigned int, dim > &  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	The desired partial derivatives

size()

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

static constexpr unsigned int Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::size ( )

inlinestaticconstexpr

Number of shape functions (one for each vertex and one in the element)

type()

template<class D , class R , unsigned int dim, Dune::GeometryType::Id typeId>

static constexpr Dune::GeometryType Dumux::Detail::PQ1BubbleLocalBasis< D, R, dim, typeId >::type ( )

inlinestaticconstexpr

The reference element type.

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

• pq1bubblelocalfiniteelement.hh