Dune Core Modules (unstable)

Abstract base class for quadrature rules. More...

#include <dune/geometry/quadraturerules.hh>

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. More...
 
virtual int order () const
 return order
 
virtual GeometryType type () const
 return type of element
 

Public Attributes

elements
 STL member.
 

Static Public Attributes

constexpr static 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.
 

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
static const QuadratureRule & rule(const GeometryType &t, int p, QuadratureType::Enum qt=QuadratureType::GaussLegendre)
select the appropriate QuadratureRule for GeometryType t and order p
Definition: quadraturerules.hh:324

Member Typedef Documentation

◆ 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()

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.


The documentation for this class was generated from the following file:
Creative Commons License   |  Legal Statements / Impressum  |  Hosted by TU Dresden  |  generated with Hugo v0.80.0 (Mar 28, 23:30, 2024)