Defines direct cubature (integration) rules in Intrepid. More...

#include <Intrepid2_CubatureDirect.hpp>

Inheritance diagram for Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >:

Classes
struct	CubatureData
	Cubature data is defined on exec space and deep-copied when an object is created. More...

struct	CubatureDataStatic
	Cubature data is defined on the host space and is static. More...

Public Types
typedef Cubature< DeviceType, pointValueType, weightValueType >::PointViewType	PointViewType

typedef Cubature< DeviceType, pointValueType, weightValueType >::weightViewType	weightViewType

Public Types inherited from Intrepid2::Cubature< DeviceType, pointValueType, weightValueType >
using	ExecSpaceType = typename DeviceType::execution_space

using	PointViewType = Kokkos::DynRankView< pointValueType, Kokkos::LayoutStride, DeviceType >

using	weightViewType = Kokkos::DynRankView< weightValueType, Kokkos::LayoutStride, DeviceType >

using	PointViewTypeAllocatable = Kokkos::DynRankView< pointValueType, DeviceType >

using	WeightViewTypeAllocatable = Kokkos::DynRankView< weightValueType, DeviceType >

using	TensorPointDataType = TensorPoints< pointValueType, DeviceType >

using	TensorWeightDataType = TensorData< weightValueType, DeviceType >

Public Member Functions
virtual void	getCubature (PointViewType cubPoints, weightViewType cubWeights) const override
	Returns cubature points and weights (return arrays must be pre-sized/pre-allocated).

virtual ordinal_type	getNumPoints () const override
	Returns the number of cubature points.

virtual ordinal_type	getDimension () const override
	Returns dimension of integration domain.

virtual const char *	getName () const override
	Returns cubature name.

virtual ordinal_type	getAccuracy () const override
	Returns max. degree of polynomials that are integrated exactly. The return vector has size 1.

	CubatureDirect (const CubatureDirect &b)

CubatureDirect &	operator= (const CubatureDirect &b)

	CubatureDirect (const ordinal_type degree, const ordinal_type dimension)

Public Member Functions inherited from Intrepid2::Cubature< DeviceType, pointValueType, weightValueType >
virtual TensorPointDataType	allocateCubaturePoints () const
	Returns a points container appropriate for passing to getCubature().

virtual TensorWeightDataType	allocateCubatureWeights () const
	Returns a weight container appropriate for passing to getCubature().

virtual void	getCubature (PointViewType, weightViewType, PointViewType) const
	Returns cubature points and weights on physical cells (return arrays must be pre-sized/pre-allocated).

virtual void	getCubature (const TensorPointDataType &tensorCubPoints, const TensorWeightDataType &tensorCubWeights) const
	Returns tensor cubature points and weights. For non-tensor cubatures, the tensor structures are trivial, thin wrappers around the data returned by getCubature(). The provided containers should be pre-allocated through calls to allocateCubaturePoints() and allocateCubatureWeights().

Protected Member Functions
template<typename cubPointValueType , class ... cubPointProperties, typename cubWeightValueType , class ... cubWeightProperties>
void	getCubatureFromData (Kokkos::DynRankView< cubPointValueType, cubPointProperties... > cubPoints, Kokkos::DynRankView< cubWeightValueType, cubWeightProperties... > cubWeights, const CubatureData cubData) const
	Returns cubature points and weights.

Protected Attributes
ordinal_type	degree_
	The degree of polynomials that are integrated exactly by this cubature rule.

ordinal_type	dimension_
	Dimension of integration domain.

CubatureData	cubatureData_
	Cubature data on device.

Detailed Description

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>
class Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >

Defines direct cubature (integration) rules in Intrepid.

Cubature template (rule) consists of cubature points and cubature weights. Intrepid provides a small collection of frequently used cubature rule templates for FEM reconstructions on simplices (edge, tri, tet) and pyramid cells.

For quad, hex, and triprism rules, see tensor-product rules defined in the class CubatureTensor, and its derived classes.

Cubature rules for simplices and the pyramid are stored in the cubature_data_ array.

All templates are defined on a reference cell and can be mapped to physical space cells by the methods available in the MultiCell class.

Definition at line 43 of file Intrepid2_CubatureDirect.hpp.

Member Typedef Documentation

◆ PointViewType

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

typedef Cubature<DeviceType,pointValueType,weightValueType>::PointViewType Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::PointViewType

Definition at line 148 of file Intrepid2_CubatureDirect.hpp.

◆ weightViewType

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

typedef Cubature<DeviceType,pointValueType,weightValueType>::weightViewType Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::weightViewType

Definition at line 149 of file Intrepid2_CubatureDirect.hpp.

Constructor & Destructor Documentation

◆ CubatureDirect() [1/3]

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::CubatureDirect ( )

inline

Definition at line 193 of file Intrepid2_CubatureDirect.hpp.

◆ CubatureDirect() [2/3]

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::CubatureDirect ( const CubatureDirect< DeviceType, pointValueType, weightValueType > & b )

inline

Definition at line 198 of file Intrepid2_CubatureDirect.hpp.

◆ CubatureDirect() [3/3]

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::CubatureDirect	(	const ordinal_type	degree,
		const ordinal_type	dimension
	)

inline

Definition at line 210 of file Intrepid2_CubatureDirect.hpp.

Member Function Documentation

◆ getAccuracy()

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

virtual ordinal_type Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getAccuracy ( ) const

inlineoverridevirtual

Returns max. degree of polynomials that are integrated exactly. The return vector has size 1.

Reimplemented from Intrepid2::Cubature< DeviceType, pointValueType, weightValueType >.

Definition at line 189 of file Intrepid2_CubatureDirect.hpp.

References Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::degree_.

◆ getCubature()

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

virtual void Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getCubature	(	PointViewType	,
		weightViewType
	)		const

inlineoverridevirtual

Returns cubature points and weights (return arrays must be pre-sized/pre-allocated).

Parameters

cubPoints	[out] - Array containing the cubature points.
cubWeights	[out] - Array of corresponding cubature weights.

Reimplemented from Intrepid2::Cubature< DeviceType, pointValueType, weightValueType >.

Definition at line 155 of file Intrepid2_CubatureDirect.hpp.

References Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getCubatureFromData().

Referenced by Intrepid2::Basis_HCURL_TET_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HCURL_TET_In_FEM(), Intrepid2::Basis_HCURL_TRI_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HCURL_TRI_In_FEM(), Intrepid2::Basis_HDIV_TET_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HDIV_TET_In_FEM(), Intrepid2::Basis_HDIV_TRI_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HDIV_TRI_In_FEM(), and Intrepid2::CubatureTensor< DeviceType, pointValueType, weightValueType >::getCubature().

◆ getCubatureFromData()

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

template<typename cubPointValueType , class ... cubPointProperties, typename cubWeightValueType , class ... cubWeightProperties>

void Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getCubatureFromData	(	Kokkos::DynRankView< cubPointValueType, cubPointProperties... >	cubPoints,
		Kokkos::DynRankView< cubWeightValueType, cubWeightProperties... >	cubWeights,
		const CubatureData	cubData
	)		const

inlineprotected

Returns cubature points and weights.

Parameters

cubPoints	[out] - Array containing the cubature points.
cubWeights	[out] - Array of corresponding cubature weights.
cubData	[in] - Cubuture data object

Definition at line 106 of file Intrepid2_CubatureDirect.hpp.

References Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getDimension(), Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getNumPoints(), Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::CubatureData::points_, and Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::CubatureData::weights_.

Referenced by Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getCubature().

◆ getDimension()

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

virtual ordinal_type Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getDimension ( ) const

inlineoverridevirtual

Returns dimension of integration domain.

Reimplemented from Intrepid2::Cubature< DeviceType, pointValueType, weightValueType >.

Definition at line 172 of file Intrepid2_CubatureDirect.hpp.

References Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::dimension_.

Referenced by Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getCubatureFromData().

◆ getName()

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

virtual const char * Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getName ( ) const

inlineoverridevirtual

Returns cubature name.

Reimplemented from Intrepid2::Cubature< DeviceType, pointValueType, weightValueType >.

Reimplemented in Intrepid2::CubatureDirectLineGauss< DeviceType, pointValueType, weightValueType >, Intrepid2::CubatureDirectLineGaussJacobi20< DeviceType, pointValueType, weightValueType >, Intrepid2::CubatureDirectTetDefault< DeviceType, pointValueType, weightValueType >, Intrepid2::CubatureDirectTetSymmetric< DeviceType, pointValueType, weightValueType >, Intrepid2::CubatureDirectTriDefault< DeviceType, pointValueType, weightValueType >, Intrepid2::CubatureDirectTriSymmetric< DeviceType, pointValueType, weightValueType >, and Intrepid2::CubaturePolylib< DeviceType, pointValueType, weightValueType >.

Definition at line 180 of file Intrepid2_CubatureDirect.hpp.

◆ getNumPoints()

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

virtual ordinal_type Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getNumPoints ( ) const

inlineoverridevirtual

Returns the number of cubature points.

Reimplemented from Intrepid2::Cubature< DeviceType, pointValueType, weightValueType >.

Definition at line 164 of file Intrepid2_CubatureDirect.hpp.

References Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::cubatureData_, and Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::CubatureData::numPoints_.

Referenced by Intrepid2::Basis_HCURL_TET_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HCURL_TET_In_FEM(), Intrepid2::Basis_HCURL_TRI_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HCURL_TRI_In_FEM(), Intrepid2::Basis_HDIV_TET_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HDIV_TET_In_FEM(), Intrepid2::Basis_HDIV_TRI_In_FEM< DeviceType, outputValueType, pointValueType >::Basis_HDIV_TRI_In_FEM(), and Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getCubatureFromData().

◆ operator=()

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

CubatureDirect & Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::operator= ( const CubatureDirect< DeviceType, pointValueType, weightValueType > & b )

inline

Definition at line 203 of file Intrepid2_CubatureDirect.hpp.

Member Data Documentation

◆ cubatureData_

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

CubatureData Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::cubatureData_

protected

Cubature data on device.

Definition at line 95 of file Intrepid2_CubatureDirect.hpp.

Referenced by Intrepid2::CubatureDirectLineGauss< DeviceType, pointValueType, weightValueType >::CubatureDirectLineGauss(), Intrepid2::CubatureDirectLineGaussJacobi20< DeviceType, pointValueType, weightValueType >::CubatureDirectLineGaussJacobi20(), Intrepid2::CubatureDirectTetDefault< DeviceType, pointValueType, weightValueType >::CubatureDirectTetDefault(), Intrepid2::CubatureDirectTetSymmetric< DeviceType, pointValueType, weightValueType >::CubatureDirectTetSymmetric(), Intrepid2::CubatureDirectTriDefault< DeviceType, pointValueType, weightValueType >::CubatureDirectTriDefault(), Intrepid2::CubatureDirectTriSymmetric< DeviceType, pointValueType, weightValueType >::CubatureDirectTriSymmetric(), and Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getNumPoints().

◆ degree_

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

ordinal_type Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::degree_

protected

The degree of polynomials that are integrated exactly by this cubature rule.

Definition at line 87 of file Intrepid2_CubatureDirect.hpp.

Referenced by Intrepid2::CubatureDirectLineGauss< DeviceType, pointValueType, weightValueType >::CubatureDirectLineGauss(), Intrepid2::CubatureDirectLineGaussJacobi20< DeviceType, pointValueType, weightValueType >::CubatureDirectLineGaussJacobi20(), Intrepid2::CubatureDirectTetDefault< DeviceType, pointValueType, weightValueType >::CubatureDirectTetDefault(), Intrepid2::CubatureDirectTetSymmetric< DeviceType, pointValueType, weightValueType >::CubatureDirectTetSymmetric(), Intrepid2::CubatureDirectTriDefault< DeviceType, pointValueType, weightValueType >::CubatureDirectTriDefault(), Intrepid2::CubatureDirectTriSymmetric< DeviceType, pointValueType, weightValueType >::CubatureDirectTriSymmetric(), and Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getAccuracy().

◆ dimension_

template<typename DeviceType = void, typename pointValueType = double, typename weightValueType = double>

ordinal_type Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::dimension_

protected

Dimension of integration domain.

Definition at line 91 of file Intrepid2_CubatureDirect.hpp.

Referenced by Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >::getDimension().

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

/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid2/src/Discretization/Integration/Intrepid2_CubatureDirect.hpp

Classes

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ PointViewType

◆ weightViewType

Constructor & Destructor Documentation

◆ CubatureDirect() [1/3]

◆ CubatureDirect() [2/3]

◆ CubatureDirect() [3/3]

Member Function Documentation

◆ getAccuracy()

◆ getCubature()

◆ getCubatureFromData()

◆ getDimension()

◆ getName()

◆ getNumPoints()

◆ operator=()

Member Data Documentation

◆ cubatureData_

◆ degree_

◆ dimension_