ippl::Quadrature< T, NumNodes1D, ElementType > Class Template Reference

This is the base class for all quadrature rules. More...

#include <Quadrature.h>

Inheritance diagram for ippl::Quadrature< T, NumNodes1D, ElementType >:

Collaboration diagram for ippl::Quadrature< T, NumNodes1D, ElementType >:

Public Member Functions
	Quadrature (const ElementType &ref_element)
	Construct a new Quadrature object.
size_t	getOrder () const
	Returns the order of the quadrature rule. (order = degree + 1)
size_t	getDegree () const
	Returns the degree of exactness of the quadrature rule.
Vector< T, numElementNodes >	getWeightsForRefElement () const
	Get the quadrature weights for the reference element.
Vector< Vector< T, dim >, numElementNodes >	getIntegrationNodesForRefElement () const
	Get the integration (quadrature) nodes for the reference element.
Vector< T, NumNodes1D >	getIntegrationNodes1D (const T &a, const T &b) const
	Get the quadrature nodes for one dimension. (With respect to the given domain [a, b])
Vector< T, NumNodes1D >	getWeights1D (const T &a, const T &b) const
	Get the quadrature weights for one dimension. (With respect to the given domain [a, b])
virtual void	computeNodesAndWeights ()=0
	Pure virtual function that computes the local quadrature nodes and weights. (Needs to be implemented in derived classes)

Static Public Attributes
static constexpr unsigned	numNodes1D = NumNodes1D
static constexpr unsigned	dim = ElementType::dim
static constexpr unsigned	numElementNodes

Protected Attributes
unsigned	degree_m
const ElementType &	ref_element_m
Vector< T, NumNodes1D >	integration_nodes_m
Vector< T, NumNodes1D >	weights_m
T	a_m
T	b_m

Detailed Description

template<typename T, unsigned NumNodes1D, typename ElementType>
class ippl::Quadrature< T, NumNodes1D, ElementType >

This is the base class for all quadrature rules.

Template Parameters

T	floating point number type of the quadrature nodes and weights
NumNodes1D	number of quadrature nodes for one dimension
ElementType	element type for which the quadrature rule is defined

Constructor & Destructor Documentation

Quadrature()

template<typename T , unsigned NumNodes1D, typename ElementType >

ippl::Quadrature< T, NumNodes1D, ElementType >::Quadrature

(

const ElementType &

ref_element

)

Construct a new Quadrature object.

Parameters

ref_element

reference element to compute the quadrature nodes on

Member Function Documentation

computeNodesAndWeights()

template<typename T , unsigned NumNodes1D, typename ElementType >

virtual void ippl::Quadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights ( )

pure virtual

Pure virtual function that computes the local quadrature nodes and weights. (Needs to be implemented in derived classes)

Implemented in ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >, ippl::GaussJacobiQuadrature< T, 5, ElementType >, ippl::GaussJacobiQuadrature< Tlhs, 5, ElementType >, and ippl::MidpointQuadrature< T, NumNodes1D, ElementType >.

getDegree()

template<typename T , unsigned NumNodes1D, typename ElementType >

size_t ippl::Quadrature< T, NumNodes1D, ElementType >::getDegree

(

)

const

Returns the degree of exactness of the quadrature rule.

Returns

unsigned - degree

getIntegrationNodes1D()

template<typename T , unsigned NumNodes1D, typename ElementType >

Vector< T, NumNodes1D > ippl::Quadrature< T, NumNodes1D, ElementType >::getIntegrationNodes1D	(	const T &	a,
		const T &	b
	)		const

Get the quadrature nodes for one dimension. (With respect to the given domain [a, b])

Parameters

a	local domain start
b	local domain end

Returns

Vector<T, NumNodes1D>

getIntegrationNodesForRefElement()

template<typename T , unsigned NumNodes1D, typename ElementType >

Vector< Vector< T, Quadrature< T, NumNodes1D, ElementType >::dim >, Quadrature< T, NumNodes1D, ElementType >::numElementNodes > ippl::Quadrature< T, NumNodes1D, ElementType >::getIntegrationNodesForRefElement

(

)

const

Get the integration (quadrature) nodes for the reference element.

Returns

Vector<Vector<T, Dim>, numElementNodes>

getOrder()

template<typename T , unsigned NumNodes1D, typename ElementType >

size_t ippl::Quadrature< T, NumNodes1D, ElementType >::getOrder

(

)

const

Returns the order of the quadrature rule. (order = degree + 1)

Returns

unsigned - order

getWeights1D()

template<typename T , unsigned NumNodes1D, typename ElementType >

Vector< T, NumNodes1D > ippl::Quadrature< T, NumNodes1D, ElementType >::getWeights1D	(	const T &	a,
		const T &	b
	)		const

Get the quadrature weights for one dimension. (With respect to the given domain [a, b])

Parameters

a	local domain start
b	local domain end

Returns

Vector<T, NumNodes1D>

getWeightsForRefElement()

template<typename T , unsigned NumNodes1D, typename ElementType >

Vector< T, Quadrature< T, NumNodes1D, ElementType >::numElementNodes > ippl::Quadrature< T, NumNodes1D, ElementType >::getWeightsForRefElement

(

)

const

Get the quadrature weights for the reference element.

Returns

Vector<T, numElementNodes>

Member Data Documentation

numElementNodes

template<typename T , unsigned NumNodes1D, typename ElementType >

constexpr unsigned ippl::Quadrature< T, NumNodes1D, ElementType >::numElementNodes

staticconstexpr

Initial value:

=
            getNumElementNodes(NumNodes1D, ElementType::dim)

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

• ippl-src/src/FEM/Quadrature/Quadrature.h
• ippl-src/src/FEM/Quadrature/Quadrature.hpp