lagrangeshapefunctions.hh File Reference

define Lagrange type shape functions for simplicial elements of arbitrary dimension and order More...

#include <cmath>
#include <functional>
#include <map>
#include <memory>
#include <numeric>
#include <tuple>
#include <utility>
#include <dune/common/config.h>
#include <dune/common/fvector.hh>
#include <dune/geometry/referenceelements.hh>
#include <dune/geometry/quadraturerules.hh>
#include "fem/barycentric.hh"
#include "fem/pshapefunctions.hh"
#include "linalg/dynamicMatrix.hh"
#include "utilities/combinatorics.hh"
#include "utilities/deprecation.hh"
#include "utilities/detailed_exception.hh"
#include "utilities/power.hh"
#include "utilities/threading.hh"

Go to the source code of this file.

Classes
class	Kaskade::LagrangeBase< dim >
class	Kaskade::EquidistantLagrange< dim, Real >
	Lagrange shape functions on an equidistant grid over the simplex. These are polynomial basis functions \( p_i \) over the unit simplex, together with interpolation nodes \( \xi_j \), such that \( p_i(\xi_j) = \delta_{ij} \) holds. More...
class	Kaskade::LobattoGridLagrange< dim, Real >
class	Kaskade::LagrangeSimplexShapeFunction< ctype, dimension, Basis, Scalar >
	Scalar Lagrange shape functions on the unit simplex. More...
class	Kaskade::LagrangeSimplexShapeFunctionSet< ctype, dimension, Scalar >
	A container of Lagrange shape functions of order Ord on the unit simplex of grid dimension. For Ord<0, this set is empty. More...
class	Kaskade::LagrangeCubeShapeFunction< ctype, dimension, Scalar, O >
	Scalar Lagrange shape functions on the unit cube. More...
class	Kaskade::LagrangeCubeShapeFunctionSet< ctype, dimension, Scalar, Ord >
class	Kaskade::LagrangeShapeFunctionSetContainer< ctype, dimension, Scalar, restricted >

Namespaces
namespace	Kaskade

Functions
template<class ctype , int dimension, class Scalar = double, bool restricted = false>
LagrangeShapeFunctionSetContainer< ctype, dimension, Scalar, restricted >::value_type const &	Kaskade::lagrangeShapeFunctionSet (Dune::GeometryType type, int order)
	Returns a Lagrange shape function set for given reference element type and given polynomial order. Singleton function. More...

Detailed Description

define Lagrange type shape functions for simplicial elements of arbitrary dimension and order

Author

Martin Weiser

Definition in file lagrangeshapefunctions.hh.