Utilizes cubature (integration) rules contained in the library Polylib (Spencer Sherwin, Aeronautics, Imperial College London) within Intrepid. More...

#include <Intrepid2_CubaturePolylib.hpp>

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

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

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

Public Types inherited from Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >
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
	CubaturePolylib (const ordinal_type degree, const EPolyType polytype=POLYTYPE_GAUSS, const double alpha=0.0, const double beta=0.0)

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

Public Member Functions inherited from Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >
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 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().

Additional Inherited Members
Protected Member Functions inherited from Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >
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 inherited from Intrepid2::CubatureDirect< DeviceType, pointValueType, weightValueType >
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::CubaturePolylib< DeviceType, pointValueType, weightValueType >

Utilizes cubature (integration) rules contained in the library Polylib (Spencer Sherwin, Aeronautics, Imperial College London) within Intrepid.

They are based on zeros of Jacobi polynomials, e.g. Legendre (alpha=beta=0, default), Chebyshev (alpha=beta=-0.5), etc. They are given on the interval [-1,1] and are optimal with respect to the following requirements, yielding 4 subclasses:

Gauss - no restrictions (all integration points are contained in the open interval (-1,1))
Gauss-Radau-Left - left-most integration point is fixed at -1
Gauss-Radau-Right - right-most integration point is fixed at +1
Gauss-Lobatto - left-most and right-most integration points are fixed at -1 and +1, respectively

Definition at line 43 of file Intrepid2_CubaturePolylib.hpp.

Member Typedef Documentation

◆ PointViewType

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

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

Definition at line 46 of file Intrepid2_CubaturePolylib.hpp.

◆ weightViewType

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

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

Definition at line 47 of file Intrepid2_CubaturePolylib.hpp.

Constructor & Destructor Documentation

◆ CubaturePolylib()

template<typename DT , typename PT , typename WT >

Intrepid2::CubaturePolylib< DT, PT, WT >::CubaturePolylib	(	const ordinal_type	degree,
		const EPolyType	polytype = `POLYTYPE_GAUSS`,
		const double	alpha = `0.0`,
		const double	beta = `0.0`
	)

Definition at line 19 of file Intrepid2_CubaturePolylibDef.hpp.

Member Function Documentation

◆ getName()

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

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

inlineoverridevirtual

Returns cubature name.

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

Definition at line 58 of file Intrepid2_CubaturePolylib.hpp.

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

/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid2/src/Discretization/Integration/Intrepid2_CubaturePolylib.hpp
/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid2/src/Discretization/Integration/Intrepid2_CubaturePolylibDef.hpp

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ PointViewType

◆ weightViewType

Constructor & Destructor Documentation

◆ CubaturePolylib()

Member Function Documentation

◆ getName()