An helper class to compute the evaluation points and weights needed for performing projections. More...

#include <Intrepid2_ProjectionStruct.hpp>

Public Types
typedef Kokkos::pair < ordinal_type, ordinal_type >	range_type

typedef Kokkos::Impl::is_space < SpT > ::host_mirror_space::execution_space	host_space_type

typedef Kokkos::DynRankView < ValueType, host_space_type >	view_type

typedef std::array< std::array < range_type, 12 >, 4 >	range_tag

typedef std::array< std::array < view_type, 12 >, 4 >	view_tag

typedef std::array< std::array < unsigned, 12 >, 4 >	key_tag

Public Member Functions
ordinal_type	getNumBasisEvalPoints ()
	Returns number of basis evaluation points.

ordinal_type	getNumBasisDerivEvalPoints ()
	Returns number of evaluation points for basis derivatives.

ordinal_type	getNumTargetEvalPoints ()
	Returns number of points where to evaluate the target function.

ordinal_type	getNumTargetDerivEvalPoints ()
	Returns number of points where to evaluate the derivatives of the target function.

ordinal_type	getNumBasisEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns number of basis evaluation points on a subcell. More...

ordinal_type	getNumBasisDerivEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns number of evaluation points for basis derivatives on a subcell. More...

ordinal_type	getNumTargetEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns number of points where to evaluate the target function on a subcell. More...

ordinal_type	getNumTargetDerivEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns number of points where to evaluate the derivatives of the target function on a subcell. More...

view_type	getBasisEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the basis evaluation points on a subcell. More...

view_type	getBasisDerivEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the evaluation points for basis derivatives on a subcell. More...

view_type	getTargetEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the points where to evaluate the target function on a subcell. More...

view_type	getTargetDerivEvalPoints (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the points where to evaluate the derivatives of the target function on a subcell. More...

view_type	getBasisEvalWeights (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the basis evaluation weights on a subcell. More...

view_type	getBasisDerivEvalWeights (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the basis derivatives evaluation weights on a subcell. More...

view_type	getTargetEvalWeights (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the function evaluation weights on a subcell. More...

view_type	getTargetDerivEvalWeights (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the function derivatives evaluation weights on a subcell. More...

range_type	getBasisPointsRange (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the range of the basis evaluation points corresponding to a subcell. More...

range_type	getBasisDerivPointsRange (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the range of the basis derivative evaluation points corresponding to a subcell. More...

range_type	getTargetPointsRange (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the range of the target function evaluation points corresponding to a subcell. More...

range_type	getTargetDerivPointsRange (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the range of the target function derivative evaluation points corresponding to a subcell. More...

unsigned	getTopologyKey (const ordinal_type subCellDim, const ordinal_type subCellId)
	Returns the key of a subcell topology. More...

template<typename BasisPtrType >
void	createL2ProjectionStruct (const BasisPtrType cellBasis, const ordinal_type targetCubDegree)
	Initialize the ProjectionStruct for L2 projections. More...

template<typename BasisPtrType >
void	createHGradProjectionStruct (const BasisPtrType cellBasis, const ordinal_type targetCubDegree, const ordinal_type targetGradCubDegre)
	Initialize the ProjectionStruct for HGRAD projections. More...

template<typename BasisPtrType >
void	createHCurlProjectionStruct (const BasisPtrType cellBasis, const ordinal_type targetCubDegree, const ordinal_type targetCurlCubDegre)
	Initialize the ProjectionStruct for HCURL projections. More...

template<typename BasisPtrType >
void	createHDivProjectionStruct (const BasisPtrType cellBasis, const ordinal_type targetCubDegree, const ordinal_type targetDivCubDegre)
	Initialize the ProjectionStruct for HDIV projections. More...

template<typename BasisPtrType >
void	createHVolProjectionStruct (const BasisPtrType cellBasis, const ordinal_type targetCubDegree)
	Initialize the ProjectionStruct for HVOL (local-L2) projection. More...

Public Attributes
key_tag	subCellTopologyKey

range_tag	basisPointsRange

range_tag	basisDerivPointsRange

range_tag	targetPointsRange

range_tag	targetDerivPointsRange

view_tag	basisCubPoints

view_tag	basisCubWeights

view_tag	basisDerivCubPoints

view_tag	basisDerivCubWeights

view_tag	targetCubPoints

view_tag	targetCubWeights

view_tag	targetDerivCubPoints

view_tag	targetDerivCubWeights

ordinal_type	numBasisEvalPoints

ordinal_type	numBasisDerivEvalPoints

ordinal_type	numTargetEvalPoints

ordinal_type	numTargetDerivEvalPoints

Detailed Description

template<typename SpT, typename ValueType>
class Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >

An helper class to compute the evaluation points and weights needed for performing projections.

In order to perform projections, the basis functions and the target function need to be evaluated at several sets of evaluation points (cubature points) defined on subcell entities (edges, faces, volumes). Depending on the projection, the evaluation of derivatives of the basis functions and of the target function may be needed as well. This class provides a struct to store the evaluation points/weights on the reference cell.

Use: create the proper ProjectionStruct rule by calling one of the functions: createL2ProjectionStruct, createHGradProjectionStruct, createHCurlProjectionStruct, createHDivProjectionStruct, createHVolProjectionStruct, depending on the type of projection wanted.

The created class is then used with the Projection Tools. See ProjectionTools class for more info.

Definition at line 78 of file Intrepid2_ProjectionStruct.hpp.

Member Function Documentation

template<typename SpT , typename ValueType >

template<typename BasisPtrType >

void Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::createHCurlProjectionStruct	(	const BasisPtrType	cellBasis,
		const ordinal_type	targetCubDegree,
		const ordinal_type	targetCurlCubDegre
	)

Initialize the ProjectionStruct for HCURL projections.

Parameters

cellBasis	[in] - HCURL basis functions for the projection
targetCubDegree	[in] - degree of the cubature needed to integrate the target function
targetGradCubDegre	[in] - degree of the cubature needed to integrate the derivative of target function

Definition at line 272 of file Intrepid2_ProjectionStructDef.hpp.

References Intrepid2::DefaultCubatureFactory::create().

template<typename SpT , typename ValueType >

template<typename BasisPtrType >

void Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::createHDivProjectionStruct	(	const BasisPtrType	cellBasis,
		const ordinal_type	targetCubDegree,
		const ordinal_type	targetDivCubDegre
	)

Initialize the ProjectionStruct for HDIV projections.

Parameters

cellBasis	[in] - HDIV basis functions for the projection
targetCubDegree	[in] - degree of the cubature needed to integrate the target function
targetGradCubDegre	[in] - degree of the cubature needed to integrate the derivative of target function

Definition at line 381 of file Intrepid2_ProjectionStructDef.hpp.

References Intrepid2::DefaultCubatureFactory::create().

template<typename SpT , typename ValueType >

template<typename BasisPtrType >

void Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::createHGradProjectionStruct	(	const BasisPtrType	cellBasis,
		const ordinal_type	targetCubDegree,
		const ordinal_type	targetGradCubDegre
	)

Initialize the ProjectionStruct for HGRAD projections.

Parameters

cellBasis	[in] - HGRAD basis functions for the projection
targetCubDegree	[in] - degree of the cubature needed to integrate the target function
targetGradCubDegre	[in] - degree of the cubature needed to integrate the derivative of target function

Definition at line 176 of file Intrepid2_ProjectionStructDef.hpp.

References Intrepid2::DefaultCubatureFactory::create().

template<typename SpT , typename ValueType >

template<typename BasisPtrType >

void Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::createHVolProjectionStruct	(	const BasisPtrType	cellBasis,
		const ordinal_type	targetCubDegree
	)

Initialize the ProjectionStruct for HVOL (local-L2) projection.

Parameters

cellBasis	[in] - HVOL basis functions for the projection
targetCubDegree	[in] - degree of the cubature needed to integrate the target function

Definition at line 478 of file Intrepid2_ProjectionStructDef.hpp.

References Intrepid2::DefaultCubatureFactory::create().

template<typename SpT , typename ValueType >

template<typename BasisPtrType >

void Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::createL2ProjectionStruct	(	const BasisPtrType	cellBasis,
		const ordinal_type	targetCubDegree
	)

Initialize the ProjectionStruct for L2 projections.

Parameters

cellBasis	[in] - basis functions for the projection
targetCubDegree	[in] - degree of the cubature needed to integrate the target function

Definition at line 67 of file Intrepid2_ProjectionStructDef.hpp.

References Intrepid2::DefaultCubatureFactory::create().

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getBasisDerivEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the evaluation points for basis derivatives on a subcell.

P - num. evaluation points

D - spatial dimension

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-2 view (P,D) containing the basis derivatives evaluation points on the selected subcell

Definition at line 180 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getBasisDerivEvalWeights	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the basis derivatives evaluation weights on a subcell.

P - num. evaluation points

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-1 view (P) containing the basis derivatives evaluation weights on the selected subcell

Definition at line 242 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

range_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getBasisDerivPointsRange	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the range of the basis derivative evaluation points corresponding to a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the range of the basis derivative evaluation points corresponding to the selected subcell

Definition at line 292 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getBasisEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the basis evaluation points on a subcell.

P - num. evaluation points

D - spatial dimension

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-2 view (P,D) containing the basis evaluation points on the selected subcell

Definition at line 164 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getBasisEvalWeights	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the basis evaluation weights on a subcell.

P - num. evaluation points

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-1 view (P) containing the basis evaluation weights on the selected subcell

Definition at line 227 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

range_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getBasisPointsRange	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the range of the basis evaluation points corresponding to a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the range of the basis evaluation points corresponding to the selected subcell

Definition at line 282 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

ordinal_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getNumBasisDerivEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns number of evaluation points for basis derivatives on a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the number of basis derivatives evaluation points on the selected subcell

Definition at line 128 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

ordinal_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getNumBasisEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns number of basis evaluation points on a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the number of basis evaluation points on the selected subcell

Definition at line 118 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

ordinal_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getNumTargetDerivEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns number of points where to evaluate the derivatives of the target function on a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the number of target derivatives evaluation points on the selected subcell

Definition at line 148 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

ordinal_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getNumTargetEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns number of points where to evaluate the target function on a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the number of target evaluation points on the selected subcell

Definition at line 138 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getTargetDerivEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the points where to evaluate the derivatives of the target function on a subcell.

P - num. evaluation points

D - spatial dimension

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-2 view (P,D) containing the target derivatives evaluation points on the selected subcell

Definition at line 212 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getTargetDerivEvalWeights	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the function derivatives evaluation weights on a subcell.

P - num. evaluation points

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-1 view (P) containing the target derivatives evaluation weights on the selected subcell

Definition at line 272 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

range_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getTargetDerivPointsRange	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the range of the target function derivative evaluation points corresponding to a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the range of the target function derivative evaluation points corresponding to the selected subcell

Definition at line 312 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getTargetEvalPoints	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the points where to evaluate the target function on a subcell.

P - num. evaluation points

D - spatial dimension

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-2 view (P,D) containing the target evaluation points on the selected subcell

Definition at line 196 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

view_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getTargetEvalWeights	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the function evaluation weights on a subcell.

P - num. evaluation points

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: a rank-1 view (P) containing the target evaluation weights on the selected subcell

Definition at line 257 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

range_type Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getTargetPointsRange	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the range of the target function evaluation points corresponding to a subcell.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the range of the target function evaluation points corresponding to the selected subcell

Definition at line 302 of file Intrepid2_ProjectionStruct.hpp.

template<typename SpT, typename ValueType>

unsigned Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >::getTopologyKey	(	const ordinal_type	subCellDim,
		const ordinal_type	subCellId
	)

inline

Returns the key of a subcell topology.

Parameters

subCellDim	[in] - dimension of the subcell
subCellId	[in] - ordinal of the subcell defined by cell topology

Returns: the key of the selected subcell

Definition at line 322 of file Intrepid2_ProjectionStruct.hpp.

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

http://docs.trilinos.org/r12.16/packages/intrepid2/src/Projection/Intrepid2_ProjectionStruct.hpp
http://docs.trilinos.org/r12.16/packages/intrepid2/src/Projection/Intrepid2_ProjectionStructDef.hpp

Public Types

Public Member Functions

Public Attributes

Detailed Description

template<typename SpT, typename ValueType> class Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >

Member Function Documentation

template<typename SpT, typename ValueType>
class Intrepid2::Experimental::ProjectionStruct< SpT, ValueType >