#include <tensorisedboundadapted.hpp>

Detailed Description

template<uint16_type Dim, uint16_type Degree, typename T = double, template< class > class StoragePolicy = StorageUBlas>
class Feel::TensorisedBoundaryAdapted< Dim, Degree, T, StoragePolicy >

TensorisedBoundaryAdapted Basis on simplex products.

This class represents the Boundary Adapted Basis made from Jacobi polynomials up to degree Degree on a simplex in dimension Dim.

The Boundary adapted basis is constructed to preserve a part of the Jacobi polynomials' orthogonality. However we need to modify the basis in order to manage easily the boundary condtions.

Author: Gilles Steiner

See Also: dubiner.hpp

Public Member Functions
template<typename AE >
TensorisedBoundaryAdapted< Dim, Degree, T, StoragePolicy > ::vector_matrix_type	derivate (ublas::matrix_expression< AE > const &__pts, mpl::int_< 2 >) const

template<typename AE >
TensorisedBoundaryAdapted< Dim, Degree, T, StoragePolicy > ::vector_matrix_type	derivate (ublas::matrix_expression< AE > const &__pts, mpl::int_< 3 >) const

points_type	points ()

points_type const &	points (int f) const

Constructors, destructor
	TensorisedBoundaryAdapted ()

	TensorisedBoundaryAdapted (TensorisedBoundaryAdapted const &d)

	~TensorisedBoundaryAdapted ()

Operator overloads
self_type const &	operator= (self_type const &d)

matrix_type	operator() (node_type const &pt) const

matrix_type	operator() (points_type const &pts) const

Accessors
uint_type	degree () const

self_type const &	basis () const

std::string	familyName () const

Methods
matrix_type	coeff () const

matrix_type	evaluate (points_type const &__pts) const

template<typename AE >
vector_matrix_type	derivate (ublas::matrix_expression< AE > const &__pts) const

matrix_type const &	d (uint16_type i)
	derivatives of Dubiner polynomials the derivatives are computed at the nodes of the lattice More...

matrix_type const &	derivate (uint16_type i)
	derivatives of Dubiner polynomials the derivatives are computed at the nodes of the lattice More...

Static Public Attributes
static const uint16_type	nConvexOrder = nDim+nOrder+1

static const uint16_type	nDim = Dim

static const uint16_type	nOrder = Degree

Typedefs
typedef TensorisedBoundaryAdapted< Dim, Degree, T, StoragePolicy >	self_type

typedef self_type	basis_type

typedef T	value_type

typedef int16_type	int_type

typedef uint16_type	uint_type

typedef Hypercube< nDim, nConvexOrder, nDim >	convex_type

typedef Reference< convex_type, nDim, nConvexOrder, nDim, T >	reference_convex_type

typedef reference_convex_type::points_type	points_type

typedef StoragePolicy< value_type >	storage_policy

typedef storage_policy::vector_type	vector_type

typedef storage_policy::matrix_type	matrix_type

typedef storage_policy::vector_matrix_type	vector_matrix_type

typedef storage_policy::vector_vector_matrix_type	vector_vector_matrix_type

typedef storage_policy::matrix_node_type	matrix_node_type

typedef storage_policy::node_type	node_type

static const uint16_type	numVertices = reference_convex_type::numVertices

static const uint16_type	numFaces = reference_convex_type::numFaces