l2orthonormal.hh File Reference

This file defines polynomial basis functions on the reference element in a generic way. More...

#include <array>
#include <iostream>
#include <algorithm>
#include <memory>
#include <numeric>
#include <dune/common/fvector.hh>
#include <dune/common/fmatrix.hh>
#include <dune/common/gmpfield.hh>
#include <dune/common/exceptions.hh>
#include <dune/geometry/referenceelements.hh>
#include <dune/geometry/quadraturerules.hh>
#include <dune/geometry/type.hh>
#include <dune/localfunctions/common/localbasis.hh>
#include <dune/localfunctions/common/localkey.hh>
#include <dune/localfunctions/common/localfiniteelementtraits.hh>
#include <dune/localfunctions/common/localinterpolation.hh>

Go to the source code of this file.

Classes
class	Dune::PB::MonomialIntegrator< ComputationFieldType, bt, d >
	Integrate monomials over the reference element. More...
class	Dune::PB::MonomialIntegrator< ComputationFieldType, Dune::GeometryType::cube, d >
	Integrate monomials over the cube in any d. More...
class	Dune::PB::MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 1 >
	Integrate monomials over the unit interval considered as a simplex. More...
class	Dune::PB::MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 2 >
	Integrate monomials over the triangle. More...
class	Dune::PB::MonomialIntegrator< ComputationFieldType, Dune::GeometryType::simplex, 3 >
	Integrate monomials over the tetrahedron. More...
struct	Dune::PB::MonomialEvaluate< F, d >
	compute \( \prod_{i=0}^{d-1} x_i^{a_i} \) More...
class	Dune::PB::OrthonormalPolynomialBasis< FieldType, k, d, bt, ComputationFieldType, basisType >
	Integrate monomials over the reference element. More...

Namespaces
namespace	Dune
	Dune namespace.

Functions
long	Dune::PB::binomial (long n, long k)
	compute binomial coefficient "n over k"

Detailed Description

This file defines polynomial basis functions on the reference element in a generic way.