Feel++  0.92.0
Public Member Functions
Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts > Class Template Reference

Hermite polynomial set. More...

#include <hermite.hpp>

Inheritance diagram for Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts >:
Feel::FiniteElement< detail::OrthonormalPolynomialSet< N, N, O, PolySetType, T, Convex >, details::HermiteDual, Pts > type

List of all members.

Public Member Functions

 BOOST_STATIC_ASSERT ((boost::is_same< PolySetType< N >, Scalar< N > >::value||boost::is_same< PolySetType< N >, Vectorial< N > >::value||boost::is_same< PolySetType< N >, Tensor2< N > >::value))
Constructors, destructor
 Hermite ()
virtual ~Hermite ()
Accessors
reference_convex_type const & referenceConvex () const
std::string familyName () const

Static Public Member Functions

Methods
template<typename GMContext , typename PC , typename Phi , typename GPhi , typename HPhi >
static void transform (boost::shared_ptr< GMContext > gmc, boost::shared_ptr< PC > const &pc, Phi &phi_t, GPhi &g_phi_t, const bool do_gradient, HPhi &h_phi_t, const bool do_hessian)
template<typename GMContext , typename PC , typename Phi , typename GPhi , typename HPhi >
static void transform (GMContext const &gmc, PC const &pc, Phi &phi_t, GPhi &g_phi_t, const bool do_gradient, HPhi &h_phi_t, const bool do_hessian)

Typedefs

typedef super::value_type value_type
typedef super::primal_space_type primal_space_type
typedef super::dual_space_type dual_space_type
typedef Continuous continuity_type
typedef super::polyset_type polyset_type
typedef Hermite< N, O, Scalar,
T, Convex, Pts > 
component_basis_type
typedef mpl::if_
< mpl::equal_to< mpl::int_
< nDim >, mpl::int_
< 1 > >, mpl::identity
< boost::none_t >
, mpl::identity< Hermite< N-1,
O, Scalar, T, Convex, Pts >
> >::type::type 
face_basis_type
typedef boost::shared_ptr
< face_basis_type > 
face_basis_ptrtype
typedef
dual_space_type::convex_type 
convex_type
typedef
dual_space_type::pointset_type 
pointset_type
typedef
dual_space_type::reference_convex_type 
reference_convex_type
typedef
reference_convex_type::node_type 
node_type
typedef
reference_convex_type::points_type 
points_type
static const uint16_type nDim = N
static const uint16_type nOrder = O
static const bool isTransformationEquivalent = false
static const bool isContinuous = true
static const bool is_tensor2 = polyset_type::is_tensor2
static const bool is_vectorial = polyset_type::is_vectorial
static const bool is_scalar = polyset_type::is_scalar
static const uint16_type nComponents = polyset_type::nComponents
static const uint16_type numPoints = reference_convex_type::numPoints
static const uint16_type nbPtsPerVertex = reference_convex_type::nbPtsPerVertex
static const uint16_type nbPtsPerEdge = reference_convex_type::nbPtsPerEdge
static const uint16_type nbPtsPerFace = reference_convex_type::nbPtsPerFace
static const uint16_type nbPtsPerVolume = reference_convex_type::nbPtsPerVolume
static const uint16_type nLocalDof = super::nLocalDof
 Number of degrees of freedom per vertex.

Detailed Description

template<uint16_type N, uint16_type O, template< uint16_type Dim > class PolySetType, typename T = double, template< uint16_type, uint16_type, uint16_type > class Convex = Simplex, template< class, uint16_type, class > class Pts = PointSetEquiSpaced>
class Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts >

Hermite polynomial set.

The Hermite polynomial set is parametrized by

  1. dimension of the geometrical space
  2. order of the Hermite polynomials
  3. the numerical type
  4. the geometry it applies to (convexes such as simplices or product of simplices)
Author:
Christophe Prud'homme
See also:

Member Typedef Documentation

template<uint16_type N, uint16_type O, template< uint16_type Dim > class PolySetType, typename T = double, template< uint16_type, uint16_type, uint16_type > class Convex = Simplex, template< class, uint16_type, class > class Pts = PointSetEquiSpaced>
typedef super::polyset_type Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts >::polyset_type

Member Function Documentation

template<uint16_type N, uint16_type O, template< uint16_type Dim > class PolySetType, typename T = double, template< uint16_type, uint16_type, uint16_type > class Convex = Simplex, template< class, uint16_type, class > class Pts = PointSetEquiSpaced>
std::string Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts >::familyName ( ) const [inline, virtual]
template<uint16_type N, uint16_type O, template< uint16_type Dim > class PolySetType, typename T = double, template< uint16_type, uint16_type, uint16_type > class Convex = Simplex, template< class, uint16_type, class > class Pts = PointSetEquiSpaced>
reference_convex_type const& Feel::fem::Hermite< N, O, PolySetType, T, Convex, Pts >::referenceConvex ( ) const [inline]
Returns:
the reference convex associated with the hermite polynomials