ptems::TensorQuadraturePointAlgorithm< DIM > Class Template Reference

Abstract base type for an algorithm for computing quadrature points for a reference element based on tensor product of a set of quadratures points on the reference interval \([-1,1]\). More...

#include <ptems/quadrature.hpp>

Inheritance diagram for ptems::TensorQuadraturePointAlgorithm< DIM >:

Collaboration diagram for ptems::TensorQuadraturePointAlgorithm< DIM >:

Public Member Functions
	TensorQuadraturePointAlgorithm ()
	Construct the common implementation of tensor product quadrature algorithms. More...
const QuadraturePoints< DIM > &	operator() (const ReferenceMapping< DIM > &mapping, std::size_t order)
	Gets the quadrature points for the specified reference element. More...
const QuadraturePoints< DIM > &	operator() (const ReferenceElement< DIM > &refElement, std::size_t order)
	Gets the quadrature points for the specified reference element. More...
const QuadraturePoints< DIM > &	Points (const ReferenceMapping< DIM > &mapping, std::size_t order)
	Gets the quadrature points for the specified reference element. More...
const QuadraturePoints< DIM > &	Points (const ReferenceElement< DIM > &refElement, std::size_t order)
	Gets the quadrature points for the specified reference element. More...

Protected Member Functions
virtual void	GenerateLocalPoints (const ReferenceElement< DIM > &refElement, std::size_t order, QuadraturePoints< DIM > &points) override
	Implements the computation of the quadrature points for the specified reference element. More...
virtual void	GenerateLocal1DPoints (std::size_t order, QuadraturePoints< 1 > &points)=0
	Computes the quadrature points for the reference interval. More...

Detailed Description

template<std::size_t DIM>
class ptems::TensorQuadraturePointAlgorithm< DIM >

Abstract base type for an algorithm for computing quadrature points for a reference element based on tensor product of a set of quadratures points on the reference interval \([-1,1]\).

Template Parameters

DIM	The dimension of the reference element

Constructor & Destructor Documentation

TensorQuadraturePointAlgorithm()

template<std::size_t DIM>

ptems::TensorQuadraturePointAlgorithm< DIM >::TensorQuadraturePointAlgorithm ( )

inline

Construct the common implementation of tensor product quadrature algorithms.

Member Function Documentation

GenerateLocal1DPoints()

template<std::size_t DIM>

virtual void ptems::TensorQuadraturePointAlgorithm< DIM >::GenerateLocal1DPoints ( std::size_t  order, QuadraturePoints< 1 > &  points  )

protectedpure virtual

Computes the quadrature points for the reference interval.

Parameters

order	The desired order of the quadrature
points	An empty vector to populate with the quadrature points on the reference interval

Implemented in ptems::GaussLegendreQuadraturePoints< DIM >, ptems::GaussLegendreQuadraturePoints< 1 >, and ptems::GaussLegendreQuadraturePoints< 2 >.

GenerateLocalPoints()

template<std::size_t DIM>

virtual void ptems::TensorQuadraturePointAlgorithm< DIM >::GenerateLocalPoints ( const ReferenceElement< DIM > &  refElement, std::size_t  order, QuadraturePoints< DIM > &  points  )

inlineoverrideprotectedvirtual

Implements the computation of the quadrature points for the specified reference element.

Parameters

refElement	The reference element
order	The desired order of the quadrature
points	An empty vector to populate with the quadrature points on the reference element

Implements ptems::QuadraturePointAlgorithm< DIM >.

operator()() [1/2]

template<std::size_t DIM>

const QuadraturePoints<DIM>& ptems::QuadraturePointAlgorithm< DIM >::operator() ( const ReferenceElement< DIM > &  refElement, std::size_t  order  )

inlineinherited

Gets the quadrature points for the specified reference element.

Parameters

refElement	The reference element
order	The desired order of the quadrature

Returns

The quadrature points on the reference element

operator()() [2/2]

template<std::size_t DIM>

const QuadraturePoints<DIM>& ptems::QuadraturePointAlgorithm< DIM >::operator() ( const ReferenceMapping< DIM > &  mapping, std::size_t  order  )

inlineinherited

Gets the quadrature points for the specified reference element.

Parameters

mapping	A mapping from an element to a reference element defining the reference element
order	The desired order of the quadrature

Returns

The quadrature points on the reference element

Points() [1/2]

template<std::size_t DIM>

const QuadraturePoints<DIM>& ptems::QuadraturePointAlgorithm< DIM >::Points ( const ReferenceElement< DIM > &  refElement, std::size_t  order  )

inlineinherited

Gets the quadrature points for the specified reference element.

Exceptions

std::invalid_argument

if order == 0

Parameters

refElement	The reference element
order	The desired order of the quadrature

Returns

The quadrature points on the reference element

Points() [2/2]

template<std::size_t DIM>

const QuadraturePoints<DIM>& ptems::QuadraturePointAlgorithm< DIM >::Points ( const ReferenceMapping< DIM > &  mapping, std::size_t  order  )

inlineinherited

Gets the quadrature points for the specified reference element.

Parameters

mapping	A mapping from an element to a reference element defining the reference element
order	The desired order of the quadrature

Returns

The quadrature points on the reference element

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

• ptems/quadrature.hpp