Implementation of H(vol) basis on the quadrilateral that is templated on H(vol) on the line. More...

#include <Intrepid2_DerivedBasis_HVOL_QUAD.hpp>

Inheritance diagram for Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >:

Public Types
using	ExecutionSpace = typename HVOL_LINE::ExecutionSpace

using	OutputValueType = typename HVOL_LINE::OutputValueType

using	PointValueType = typename HVOL_LINE::PointValueType

using	OutputViewType = typename HVOL_LINE::OutputViewType

using	PointViewType = typename HVOL_LINE::PointViewType

using	ScalarViewType = typename HVOL_LINE::ScalarViewType

Public Types inherited from Intrepid2::Basis_TensorBasis< HVOL_LINE, HVOL_LINE >
using	BasisSuper = ::Intrepid2::Basis< typename HVOL_LINE::ExecutionSpace, typename HVOL_LINE::OutputValueType, typename HVOL_LINE::PointValueType >

using	ExecutionSpace = typename BasisSuper::ExecutionSpace

using	OutputValueType = typename BasisSuper::OutputValueType

using	PointValueType = typename BasisSuper::PointValueType

using	OrdinalTypeArray1DHost = typename BasisSuper::OrdinalTypeArray1DHost

using	OrdinalTypeArray2DHost = typename BasisSuper::OrdinalTypeArray2DHost

using	OutputViewType = typename BasisSuper::OutputViewType

using	PointViewType = typename BasisSuper::PointViewType

Public Types inherited from Intrepid2::Basis< HVOL_LINE::ExecutionSpace, HVOL_LINE::OutputValueType, HVOL_LINE::PointValueType >
using	ExecutionSpace = HVOL_LINE::ExecutionSpace
	(Kokkos) Execution space for basis.

using	OutputValueType = HVOL_LINE::OutputValueType
	Output value type for basis; default is double.

using	PointValueType = HVOL_LINE::PointValueType
	Point value type for basis; default is double.

using	OrdinalViewType = Kokkos::View< ordinal_type, HVOL_LINE::ExecutionSpace >
	View type for ordinal.

using	EBasisViewType = Kokkos::View< EBasis, HVOL_LINE::ExecutionSpace >
	View for basis type.

using	ECoordinatesViewType = Kokkos::View< ECoordinates, HVOL_LINE::ExecutionSpace >
	View for coordinate system type.

using	OrdinalTypeArray1DHost = Kokkos::View< ordinal_type *, typename HVOL_LINE::ExecutionSpace::array_layout, Kokkos::HostSpace >
	View type for 1d host array.

using	OrdinalTypeArray2DHost = Kokkos::View< ordinal_type **, typename HVOL_LINE::ExecutionSpace::array_layout, Kokkos::HostSpace >
	View type for 2d host array.

using	OrdinalTypeArray3DHost = Kokkos::View< ordinal_type ***, typename HVOL_LINE::ExecutionSpace::array_layout, Kokkos::HostSpace >
	View type for 3d host array.

using	OrdinalTypeArrayStride1DHost = Kokkos::View< ordinal_type *, Kokkos::LayoutStride, Kokkos::HostSpace >
	View type for 1d host array.

using	OrdinalTypeArray1D = Kokkos::View< ordinal_type *, HVOL_LINE::ExecutionSpace >
	View type for 1d device array.

using	OrdinalTypeArray2D = Kokkos::View< ordinal_type **, HVOL_LINE::ExecutionSpace >
	View type for 2d device array.

using	OrdinalTypeArray3D = Kokkos::View< ordinal_type ***, HVOL_LINE::ExecutionSpace >
	View type for 3d device array.

using	OrdinalTypeArrayStride1D = Kokkos::View< ordinal_type *, Kokkos::LayoutStride, HVOL_LINE::ExecutionSpace >
	View type for 1d device array.

typedef ScalarTraits < HVOL_LINE::PointValueType > ::scalar_type	scalarType
	Scalar type for point values.

using	OutputViewType = Kokkos::DynRankView< OutputValueType, Kokkos::LayoutStride, HVOL_LINE::ExecutionSpace >
	View type for basis value output.

using	PointViewType = Kokkos::DynRankView< PointValueType, Kokkos::LayoutStride, HVOL_LINE::ExecutionSpace >
	View type for input points.

using	ScalarViewType = Kokkos::DynRankView< scalarType, Kokkos::LayoutStride, HVOL_LINE::ExecutionSpace >
	View type for scalars.

Public Member Functions
	Basis_Derived_HVOL_QUAD (int polyOrder_x, int polyOrder_y)
	Constructor. More...

	Basis_Derived_HVOL_QUAD (int polyOrder)
	Constructor. More...

virtual const char *	getName () const
	Returns basis name. More...

virtual bool	requireOrientation () const
	True if orientation is required.

virtual void	getValues (OutputViewType outputValues, const EOperator operatorType, const PointViewType inputPoints1, const PointViewType inputPoints2, bool tensorPoints) const override
	multi-component getValues() method (required/called by TensorBasis) More...

Public Member Functions inherited from Intrepid2::Basis_TensorBasis< HVOL_LINE, HVOL_LINE >
	Basis_TensorBasis (HVOL_LINEbasis1, HVOL_LINEbasis2)
	Constructor. More...

void	getComponentPoints (const PointViewType inputPoints, const bool attemptTensorDecomposition, PointViewType &inputPoints1, PointViewType &inputPoints2, bool &tensorDecompositionSucceeded) const
	Method to extract component points from composite points. More...

virtual void	getDofCoords (typename BasisSuper::ScalarViewType dofCoords) const override
	Fills in spatial locations (coordinates) of degrees of freedom (nodes) on the reference cell. More...

ordinal_type	getTensorDkEnumeration (ordinal_type dkEnum1, ordinal_type operatorOrder1, ordinal_type dkEnum2, ordinal_type operatorOrder2) const
	Given "Dk" enumeration indices for the component bases, returns a Dk enumeration index for the composite basis. More...

void	getValues (OutputViewType outputValues, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const override
	Evaluation of a FEM basis on a reference cell. More...

virtual void	getValues (OutputViewType outputValues, const EOperator operatorType, const PointViewType inputPoints1, const PointViewType inputPoints2, bool tensorPoints) const
	Evaluation of a tensor FEM basis on a reference cell; subclasses should override this. More...

void	getValues (OutputViewType outputValues, const PointViewType inputPoints1, const EOperator operatorType1, const PointViewType inputPoints2, const EOperator operatorType2, bool tensorPoints, double weight=1.0) const
	Evaluation of a tensor FEM basis on a reference cell. More...

Public Member Functions inherited from Intrepid2::Basis< HVOL_LINE::ExecutionSpace, HVOL_LINE::OutputValueType, HVOL_LINE::PointValueType >
OutputValueType	getDummyOutputValue ()
	Dummy array to receive input arguments.

PointValueType	getDummyPointValue ()
	Dummy array to receive input arguments.

virtual void	getValues (OutputViewType, const PointViewType, const PointViewType, const EOperator=OPERATOR_VALUE) const
	Evaluation of an FVD basis evaluation on a physical cell. More...

virtual void	getDofCoords (ScalarViewType) const
	Returns spatial locations (coordinates) of degrees of freedom on the reference cell.

virtual void	getDofCoeffs (ScalarViewType) const
	Coefficients for computing degrees of freedom for Lagrangian basis If P is an element of the space spanned by the basis, := P(dofCoords(i)) dofCoeffs(i) are the nodal coefficients associated to basis function i. More...

OrdinalTypeArray1DHost	getFieldOrdinalsForDegree (OrdinalTypeArray1DHost &degrees) const
	For hierarchical bases, returns the field ordinals that have at most the specified degree in each dimension. Assuming that these are less than or equal to the polynomial orders provided at Basis construction, the corresponding polynomials will form a superset of the Basis of the same type constructed with polynomial orders corresponding to the specified degrees. More...

std::vector< int >	getFieldOrdinalsForDegree (std::vector< int > &degrees) const
	For hierarchical bases, returns the field ordinals that have at most the specified degree in each dimension. Assuming that these are less than or equal to the polynomial orders provided at Basis construction, the corresponding polynomials will form a superset of the Basis of the same type constructed with polynomial orders corresponding to the specified degrees. More...

OrdinalTypeArray1DHost	getPolynomialDegreeOfField (int fieldOrdinal) const
	For hierarchical bases, returns the polynomial degree (which may have multiple values in higher spatial dimensions) for the specified basis ordinal as a host array. More...

std::vector< int >	getPolynomialDegreeOfFieldAsVector (int fieldOrdinal) const
	For hierarchical bases, returns the polynomial degree (which may have multiple values in higher spatial dimensions) for the specified basis ordinal as a host array. More...

int	getPolynomialDegreeLength () const
	For hierarchical bases, returns the number of entries required to specify the polynomial degree of a basis function.

ordinal_type	getCardinality () const
	Returns cardinality of the basis. More...

ordinal_type	getDegree () const
	Returns the degree of the basis. More...

EFunctionSpace	getFunctionSpace () const
	Returns the function space for the basis. More...

shards::CellTopology	getBaseCellTopology () const
	Returns the base cell topology for which the basis is defined. See Shards documentation https://trilinos.org/packages/shards for definition of base cell topology. More...

EBasis	getBasisType () const
	Returns the basis type. More...

ECoordinates	getCoordinateSystem () const
	Returns the type of coordinate system for which the basis is defined. More...

ordinal_type	getDofCount (const ordinal_type subcDim, const ordinal_type subcOrd) const
	DoF count for specified subcell. More...

ordinal_type	getDofOrdinal (const ordinal_type subcDim, const ordinal_type subcOrd, const ordinal_type subcDofOrd) const
	DoF tag to ordinal lookup. More...

const OrdinalTypeArray3DHost	getAllDofOrdinal () const
	DoF tag to ordinal data structure.

const OrdinalTypeArrayStride1DHost	getDofTag (const ordinal_type dofOrd) const
	DoF ordinal to DoF tag lookup. More...

const OrdinalTypeArray2DHost	getAllDofTags () const
	Retrieves all DoF tags. More...

Private Types
using	LineBasis = HVOL_LINE

using	TensorBasis = Basis_TensorBasis< LineBasis, LineBasis >

Additional Inherited Members
Protected Member Functions inherited from Intrepid2::Basis< HVOL_LINE::ExecutionSpace, HVOL_LINE::OutputValueType, HVOL_LINE::PointValueType >
void	setOrdinalTagData (OrdinalTypeView3D &tagToOrdinal, OrdinalTypeView2D &ordinalToTag, const OrdinalTypeView1D tags, const ordinal_type basisCard, const ordinal_type tagSize, const ordinal_type posScDim, const ordinal_type posScOrd, const ordinal_type posDfOrd)
	Fills ordinalToTag_ and tagToOrdinal_ by basis-specific tag data. More...

Protected Attributes inherited from Intrepid2::Basis_TensorBasis< HVOL_LINE, HVOL_LINE >
HVOL_LINE	basis1_

HVOL_LINE	basis2_

std::string	name_

Protected Attributes inherited from Intrepid2::Basis< HVOL_LINE::ExecutionSpace, HVOL_LINE::OutputValueType, HVOL_LINE::PointValueType >
ordinal_type	basisCardinality_
	Cardinality of the basis, i.e., the number of basis functions/degrees-of-freedom.

ordinal_type	basisDegree_
	Degree of the largest complete polynomial space that can be represented by the basis.

shards::CellTopology	basisCellTopology_
	Base topology of the cells for which the basis is defined. See the Shards package for definition of base cell topology.

EBasis	basisType_
	Type of the basis.

ECoordinates	basisCoordinates_
	The coordinate system for which the basis is defined.

EFunctionSpace	functionSpace_
	The function space in which the basis is defined.

OrdinalTypeArray2DHost	ordinalToTag_
	"true" if tagToOrdinal_ and ordinalToTag_ have been initialized More...

OrdinalTypeArray3DHost	tagToOrdinal_
	DoF tag to ordinal lookup table. More...

Kokkos::DynRankView < scalarType, HVOL_LINE::ExecutionSpace >	dofCoords_
	Coordinates of degrees-of-freedom for basis functions defined in physical space.

Kokkos::DynRankView < scalarType, HVOL_LINE::ExecutionSpace >	dofCoeffs_
	Coefficients for computing degrees of freedom for Lagrangian basis If P is an element of the space spanned by the basis, := P(dofCoords_(i)) dofCoeffs_(i) are the nodal coefficients associated to basis functions i. More...

OrdinalTypeArray2DHost	fieldOrdinalPolynomialDegree_
	Polynomial degree for each degree of freedom. Only defined for hierarchical bases right now. The number of entries per degree of freedom in this table depends on the basis type. For hypercubes, this will be the spatial dimension. We have not yet determined what this will be for simplices beyond 1D; there are not yet hierarchical simplicial bases beyond 1D in Intrepid2. More...

Detailed Description

template<class HVOL_LINE>
class Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >

Implementation of H(vol) basis on the quadrilateral that is templated on H(vol) on the line.

Definition at line 65 of file Intrepid2_DerivedBasis_HVOL_QUAD.hpp.

Constructor & Destructor Documentation

template<class HVOL_LINE>

Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >::Basis_Derived_HVOL_QUAD	(	int	polyOrder_x,
		int	polyOrder_y
	)

inline

Constructor.

Parameters

[in]	polyOrder_x	- the polynomial order in the x dimension.
[in]	polyOrder_y	- the polynomial order in the y dimension.

Definition at line 86 of file Intrepid2_DerivedBasis_HVOL_QUAD.hpp.

References Intrepid2::Basis< HVOL_LINE::ExecutionSpace, HVOL_LINE::OutputValueType, HVOL_LINE::PointValueType >::functionSpace_.

template<class HVOL_LINE>

Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >::Basis_Derived_HVOL_QUAD ( int polyOrder )

inline

Constructor.

Parameters

[in] polyOrder - the polynomial order to use in both dimensions.

Definition at line 97 of file Intrepid2_DerivedBasis_HVOL_QUAD.hpp.

Member Function Documentation

template<class HVOL_LINE>

virtual const char* Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >::getName ( ) const

inlinevirtual

Returns basis name.

Returns: the name of the basis

Reimplemented from Intrepid2::Basis_TensorBasis< HVOL_LINE, HVOL_LINE >.

Definition at line 105 of file Intrepid2_DerivedBasis_HVOL_QUAD.hpp.

template<class HVOL_LINE>

virtual void Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >::getValues	(	OutputViewType	outputValues,
		const EOperator	operatorType,
		const PointViewType	inputPoints1,
		const PointViewType	inputPoints2,
		bool	tensorPoints
	)		const

inlineoverridevirtual

multi-component getValues() method (required/called by TensorBasis)

Parameters

[out]	outputValues	- the view into which to place the output values
[in]	operatorType	- the operator on the basis
[in]	inputPoints1	- input points in the x dimension
[in]	inputPoints2	- input points in the y dimension
[in]	tensorPoints	- if true, inputPoints1 and inputPoints2 should be understood as tensorial components of the points in outputValues (i.e., the evaluation points are the tensor product of inputPoints1 and inputPoints2). If false, inputPoints1 and inputPoints2 should correspond elementwise to the evaluation points.

Definition at line 124 of file Intrepid2_DerivedBasis_HVOL_QUAD.hpp.

References Intrepid2::Basis_TensorBasis< Basis1, Basis2 >::getValues().

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

http://docs.trilinos.org/r13.0/packages/intrepid2/src/Discretization/Basis/Intrepid2_DerivedBasis_HVOL_QUAD.hpp

Public Types

Public Member Functions

Private Types

Additional Inherited Members

Detailed Description

template<class HVOL_LINE> class Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >

Constructor & Destructor Documentation

Member Function Documentation

template<class HVOL_LINE>
class Intrepid2::Basis_Derived_HVOL_QUAD< HVOL_LINE >