#include <tensorisedboundadapted.hpp>
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.
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 |
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derivatives of Dubiner polynomials the derivatives are computed at the nodes of the lattice
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derivatives of Dubiner polynomials the derivatives are computed at the nodes of the lattice
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evaluate the TensorisedBoundaryAdapted polynomials at a set of points __pts
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Access to the points of the reference convex associated
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Access to the points associated with the face f