Dune::QuadratureRule< ct, dim > Class Template Reference

Abstract base class for quadrature rules. More...

#include <dune/geometry/quadraturerules.hh>

Inheritance diagram for Dune::QuadratureRule< ct, dim >:

Public Types
typedef ct	CoordType
	The type used for coordinates.
typedef std::vector< QuadraturePoint< ct, dim > >::const_iterator	iterator

Public Member Functions
	QuadratureRule ()
	Default constructor.
virtual int	order () const
	return order
virtual GeometryType	type () const
	return type of element
virtual	~QuadratureRule ()

Public Attributes
T	elements
	STL member.

Static Public Attributes
static constexpr int	d = dim
	The space dimension.

Protected Member Functions
	QuadratureRule (GeometryType t)
	Constructor for a given geometry type. Leaves the quadrature order invalid.
	QuadratureRule (GeometryType t, int order)
	Constructor for a given geometry type and a given quadrature order.

Protected Attributes
GeometryType	geometry_type
int	delivered_order

Detailed Description

template<typename ct, int dim>
class Dune::QuadratureRule< ct, dim >

Abstract base class for quadrature rules.

Contains a list of QuadraturePoint used to integrate numerically a function with a domain given by the a GeometryType.

Usage:

auto f = [](FieldVector<ct,dim> x) -> double {...}; // function to integrate
QuadratureRule<ct,dim> quadrature = Dune::QuadratureRules<ct,dim>::rule(...); // obtain a quadrature rule
double integral = 0.;
for(auto [position, weight] : quadrature) // iterate over quadrature points
  integral += f(position) * weight; // accumulate weighted results

Member Typedef Documentation

CoordType

template<typename ct, int dim>

typedef ct Dune::QuadratureRule< ct, dim >::CoordType

The type used for coordinates.

iterator

template<typename ct, int dim>

typedef std::vector<QuadraturePoint<ct,dim>>::const_iterator Dune::QuadratureRule< ct, dim >::iterator

this container is always a const container, therefore iterator is the same as const_iterator

Constructor & Destructor Documentation

QuadratureRule() [1/3]

template<typename ct, int dim>

Dune::QuadratureRule< ct, dim >::QuadratureRule ( )

inline

Default constructor.

Create an invalid empty quadrature rule. This must be initialized later by copying another quadraturerule before it can be used.

QuadratureRule() [2/3]

template<typename ct, int dim>

Dune::QuadratureRule< ct, dim >::QuadratureRule ( GeometryType t )

inlineprotected

Constructor for a given geometry type. Leaves the quadrature order invalid.

QuadratureRule() [3/3]

template<typename ct, int dim>

Dune::QuadratureRule< ct, dim >::QuadratureRule ( GeometryType t, int order )

inlineprotected

Constructor for a given geometry type and a given quadrature order.

~QuadratureRule()

template<typename ct, int dim>

virtual Dune::QuadratureRule< ct, dim >::~QuadratureRule ( )

inlinevirtual

Member Function Documentation

order()

template<typename ct, int dim>

virtual int Dune::QuadratureRule< ct, dim >::order ( ) const

inlinevirtual

return order

type()

template<typename ct, int dim>

virtual GeometryType Dune::QuadratureRule< ct, dim >::type ( ) const

inlinevirtual

return type of element

Member Data Documentation

d

template<typename ct, int dim>

int Dune::QuadratureRule< ct, dim >::d = dim

staticconstexpr

The space dimension.

delivered_order

template<typename ct, int dim>

int Dune::QuadratureRule< ct, dim >::delivered_order

protected

elements

T std::vector< T >::elements

inherited

STL member.

geometry_type

template<typename ct, int dim>

GeometryType Dune::QuadratureRule< ct, dim >::geometry_type

protected

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The documentation for this class was generated from the following file:

• quadraturerules.hh