dune-fem 2.8.0
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a Dune::Fem::ShapeFunctionSet of Legendre ansatz polynomials More...
#include <dune/fem/space/shapefunctionset/legendre.hh>
Classes | |
struct | Compare |
Public Types | |
typedef FunctionSpace | FunctionSpaceType |
function space type | |
typedef FunctionSpaceType::DomainType | DomainType |
domain type | |
typedef FunctionSpaceType::RangeType | RangeType |
range type | |
typedef FunctionSpaceType::JacobianRangeType | JacobianRangeType |
jacobian range type | |
typedef FunctionSpaceType::HessianRangeType | HessianRangeType |
hessian range type | |
Public Member Functions | |
int | order () const noexcept |
return order of shape functions | |
std::size_t | size () const noexcept |
return number of shape functions | |
template<class Point , class Functor > | |
void | evaluateEach (const Point &x, Functor functor) const noexcept |
evalute each shape function | |
template<class Point , class Functor > | |
void | jacobianEach (const Point &x, Functor functor) const noexcept |
evalute jacobian of each shape function | |
template<class Point , class Functor > | |
void | hessianEach (const Point &x, Functor functor) const noexcept |
evalute hessian of each shape function | |
Construction | |
LegendreShapeFunctionSet ()=default | |
default constructor resulting in uninitialized shape function set | |
LegendreShapeFunctionSet (int order) | |
initialize with polynomial order | |
template<class Factory > | |
LegendreShapeFunctionSet (const Factory &factory) | |
initialize from user-defined factory object | |
Protected Types | |
typedef LegendreShapeFunction< FunctionSpace > | ShapeFunctionType |
Protected Attributes | |
std::vector< ShapeFunctionType > | shapeFunctions_ |
int | order_ |
a Dune::Fem::ShapeFunctionSet of Legendre ansatz polynomials
double
.FunctionSpace | (scalar) function space |
hierarchicalOrdering | (bool) if true shape functions are ordered according to their polynomial order |
typedef FunctionSpaceType::DomainType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::DomainType |
domain type
typedef FunctionSpace Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::FunctionSpaceType |
function space type
typedef FunctionSpaceType::HessianRangeType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::HessianRangeType |
hessian range type
typedef FunctionSpaceType::JacobianRangeType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::JacobianRangeType |
jacobian range type
typedef FunctionSpaceType::RangeType Dune::Fem::LegendreShapeFunctionSet< FunctionSpace, hierarchicalOrdering >::RangeType |
range type
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protected |
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default |
default constructor resulting in uninitialized shape function set
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inlineexplicit |
initialize with polynomial order
[in] | order |
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inline |
initialize from user-defined factory object
[in] | factory | a factory, see description |
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inlinenoexcept |
evalute each shape function
[in] | x | coordinate or quadrature point |
[in] | functor | functor call for evaluating each shape function |
The functor has to be a copyable object satisfying the following interface:
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inlinenoexcept |
evalute hessian of each shape function
[in] | x | coordinate or quadrature point |
[in] | functor | functor call for evaluating the hessian of each shape function |
The functor has to be a copyable object satisfying the following interface:
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inlinenoexcept |
evalute jacobian of each shape function
[in] | x | coordinate or quadrature point |
[in] | functor | functor call for evaluating the jacobian of each shape function |
The functor has to be a copyable object satisfying the following interface:
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inlinenoexcept |
return order of shape functions
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inlinenoexcept |
return number of shape functions
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protected |
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protected |