Feel::FiniteElement< P, PDual, Pts > Class Template Reference

Finite element following Ciarlet framework. More...

#include <fe.hpp>

Inheritance diagram for Feel::FiniteElement< P, PDual, Pts >:

List of all members.

Public Member Functions
Constructors, destructor
	FiniteElement (dual_space_type const &pdual)
	FiniteElement (FiniteElement const &fe)
	~FiniteElement ()
Operator overloads
self_type &	operator= (self_type const &fe)
template<typename AE >
value_type	operator() (uint16_type i, ublas::vector_expression< AE > const &pt) const
template<typename AE >
value_type	operator() (ublas::vector_expression< AE > const &pt) const
matrix_type	operator() (points_type const &pts) const
Accessors
void	domainShape () const
uint16_type	nbPoints () const
primal_space_type const &	primal () const
dual_space_type const &	dual () const
points_type const &	points () const
points_type const &	points (uint16_type f) const
virtual std::string	familyName () const =0
Typedefs
typedef FiniteElement< P, PDual, Pts >	self_type
typedef P::value_type	value_type
typedef P	primal_space_type
typedef primal_space_type::polyset_type	polyset_type
typedef PDual< P, Pts >	dual_space_type
typedef super::matrix_type	matrix_type
typedef super::points_type	points_type
typedef super::self_type	polynomialset_type
typedef super::polynomial_type	polynomial_type
typedef super::polynomial_view_type	polynomial_view_type
	Total number of degrees of freedom (equal to refEle::nDof)
static const bool	is_modal = false
static const uint16_type	nLocalDof = dual_space_type::nLocalDof
	Number of degrees of freedom per vertex.
static const uint16_type	nDofPerVertex = dual_space_type::nDofPerVertex
	Number of degrees of freedom per edge.
static const uint16_type	nDofPerEdge = dual_space_type::nDofPerEdge
	Number of degrees of freedom per face.
static const uint16_type	nDofPerFace = dual_space_type::nDofPerFace
	Number of degrees of freedom per volume.
static const uint16_type	nDofPerVolume = dual_space_type::nDofPerVolume
static const uint16_type	nDof = nLocalDof
static const uint16_type	nNodes = nDof
static const uint16_type	nDofGrad = super::nDim*nDof
static const uint16_type	nDofHess = super::nDim*super::nDim*nDof
static const fem::transformation_type	trans

---

Detailed Description

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>
class Feel::FiniteElement< P, PDual, Pts >

Finite element following Ciarlet framework.

Author:

Christophe Prud'homme

See also:

---

Member Typedef Documentation

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

typedef primal_space_type::polyset_type Feel::FiniteElement< P, PDual, Pts >::polyset_type

Polynomial Set type: scalar or vectorial

Reimplemented in Feel::fem::Nedelec< N, O, T, Convex, TheTAG >, Feel::fem::RaviartThomas< N, O, T, Convex, TheTAG >, Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts >, Feel::fem::CrouzeixRaviart< N, RealDim, PolySetType, T, Convex, TheTAG >, and Feel::fem::Lagrange< N, RealDim, O, PolySetType, ContinuityType, T, Convex, Pts, TheTAG >.

---

Member Function Documentation

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

void Feel::FiniteElement< P, PDual, Pts >::domainShape

(

)

const [inline]

Returns:

the domain shape of the finite element

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

dual_space_type const& Feel::FiniteElement< P, PDual, Pts >::dual

(

)

const [inline]

Returns:

the dual basis of the finite element

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

virtual std::string Feel::FiniteElement< P, PDual, Pts >::familyName

(

)

const [pure virtual]

Returns:

the family name of the finite element

Implemented in Feel::fem::Nedelec< N, O, T, Convex, TheTAG >, Feel::fem::RaviartThomas< N, O, T, Convex, TheTAG >, Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts >, Feel::fem::CrouzeixRaviart< N, RealDim, PolySetType, T, Convex, TheTAG >, and Feel::fem::Lagrange< N, RealDim, O, PolySetType, ContinuityType, T, Convex, Pts, TheTAG >.

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

uint16_type Feel::FiniteElement< P, PDual, Pts >::nbPoints

(

)

const [inline]

Returns:

the number of points associated with FE

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

points_type const& Feel::FiniteElement< P, PDual, Pts >::points

(

)

const [inline]

Returns:

points associated with the lagrange finite element

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

points_type const& Feel::FiniteElement< P, PDual, Pts >::points

(

uint16_type

f

)

const [inline]

get the points associated with the finite element on a face f if any

• f face index

Returns:

points associated with a face of the lagrange finite element

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

primal_space_type const& Feel::FiniteElement< P, PDual, Pts >::primal

(

)

const [inline]

Returns:

the polynomial set defining the finite element

the dual basis of the finite element

---

Member Data Documentation

template<typename P, template< class Pr, template< class, uint16_type, class > class Pt > class PDual, template< class, uint16_type, class > class Pts>

const fem::transformation_type Feel::FiniteElement< P, PDual, Pts >::trans [static]

Initial value:

 ( fem::transformation_type )mpl::if_<mpl::and_<mpl::bool_<P::convex_type::is_simplex>,mpl::equal_to<mpl::int_<super::nOrder>, mpl::int_<1> > >,
                                          mpl::int_<fem::LINEAR>,
                                          mpl::int_<fem::NONLINEAR> >::type::value