Intrepid2
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Implementation of the default HVOL-compatible FEM contstant basis on triangle, quadrilateral, hexahedron and tetrahedron cells. More...
#include <Intrepid2_HVOL_C0_FEM.hpp>
Public Types | |
using | OrdinalTypeArray1DHost = typename Basis< DeviceType, outputValueType, pointValueType >::OrdinalTypeArray1DHost |
using | OrdinalTypeArray2DHost = typename Basis< DeviceType, outputValueType, pointValueType >::OrdinalTypeArray2DHost |
using | OrdinalTypeArray3DHost = typename Basis< DeviceType, outputValueType, pointValueType >::OrdinalTypeArray3DHost |
using | OutputViewType = typename Basis< DeviceType, outputValueType, pointValueType >::OutputViewType |
using | PointViewType = typename Basis< DeviceType, outputValueType, pointValueType >::PointViewType |
using | ScalarViewType = typename Basis< DeviceType, outputValueType, pointValueType >::ScalarViewType |
Public Types inherited from Intrepid2::Basis< DeviceType, outputValueType, pointValueType > | |
using | DeviceType = Device |
(Kokkos) Device type on which Basis is templated. Does not necessarily return true for Kokkos::is_device (may be Kokkos::Serial, for example). | |
using | ExecutionSpace = typename DeviceType::execution_space |
(Kokkos) Execution space for basis. | |
using | OutputValueType = outputValueType |
Output value type for basis; default is double. | |
using | PointValueType = pointValueType |
Point value type for basis; default is double. | |
using | OrdinalViewType = Kokkos::View< ordinal_type, DeviceType > |
View type for ordinal. | |
using | EBasisViewType = Kokkos::View< EBasis, DeviceType > |
View for basis type. | |
using | ECoordinatesViewType = Kokkos::View< ECoordinates, DeviceType > |
View for coordinate system type. | |
using | OrdinalTypeArray1DHost = Kokkos::View< ordinal_type *, typename ExecutionSpace::array_layout, Kokkos::HostSpace > |
View type for 1d host array. | |
using | OrdinalTypeArray2DHost = Kokkos::View< ordinal_type **, typename ExecutionSpace::array_layout, Kokkos::HostSpace > |
View type for 2d host array. | |
using | OrdinalTypeArray3DHost = Kokkos::View< ordinal_type ***, typename 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 *, DeviceType > |
View type for 1d device array. | |
using | OrdinalTypeArray2D = Kokkos::View< ordinal_type **, DeviceType > |
View type for 2d device array. | |
using | OrdinalTypeArray3D = Kokkos::View< ordinal_type ***, DeviceType > |
View type for 3d device array. | |
using | OrdinalTypeArrayStride1D = Kokkos::View< ordinal_type *, Kokkos::LayoutStride, DeviceType > |
View type for 1d device array. | |
typedef ScalarTraits < pointValueType > ::scalar_type | scalarType |
Scalar type for point values. | |
using | OutputViewType = Kokkos::DynRankView< OutputValueType, Kokkos::LayoutStride, DeviceType > |
View type for basis value output. | |
using | PointViewType = Kokkos::DynRankView< PointValueType, Kokkos::LayoutStride, DeviceType > |
View type for input points. | |
using | ScalarViewType = Kokkos::DynRankView< scalarType, Kokkos::LayoutStride, DeviceType > |
View type for scalars. | |
Public Member Functions | |
Basis_HVOL_C0_FEM ()=delete | |
Constructor. | |
Basis_HVOL_C0_FEM (const shards::CellTopology &cellTopo) | |
Constructor. | |
virtual void | getValues (OutputViewType outputValues, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const override |
virtual void | getDofCoords (ScalarViewType dofCoords) const override |
virtual void | getDofCoeffs (ScalarViewType dofCoeffs) const override |
virtual const char * | getName () const override |
Returns basis name. More... | |
virtual HostBasisPtr < outputValueType, pointValueType > | getHostBasis () const override |
Creates and returns a Basis object whose DeviceType template argument is Kokkos::HostSpace::device_type, but is otherwise identical to this. More... | |
Public Member Functions inherited from Intrepid2::Basis< DeviceType, outputValueType, pointValueType > | |
OutputValueType | getDummyOutputValue () |
Dummy array to receive input arguments. | |
PointValueType | getDummyPointValue () |
Dummy array to receive input arguments. | |
Kokkos::DynRankView < OutputValueType, DeviceType > | allocateOutputView (const int numPoints, const EOperator operatorType=OPERATOR_VALUE) const |
Allocate a View container suitable for passing to the getValues() variant that accepts Kokkos DynRankViews as arguments (as opposed to the Intrepid2 BasisValues and PointValues containers). More... | |
virtual BasisValues < OutputValueType, DeviceType > | allocateBasisValues (TensorPoints< PointValueType, DeviceType > points, const EOperator operatorType=OPERATOR_VALUE) const |
Allocate BasisValues container suitable for passing to the getValues() variant that takes a TensorPoints container as argument. More... | |
virtual void | getScratchSpaceSize (ordinal_type &perTeamSpaceSize, ordinal_type &perThreadSpaceSize, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const |
Return the size of the scratch space, in bytes, needed for using the team-level implementation of getValues. More... | |
virtual KOKKOS_INLINE_FUNCTION void | getValues (OutputViewType, const PointViewType, const EOperator, const typename Kokkos::TeamPolicy< ExecutionSpace >::member_type &teamMember, const typename ExecutionSpace::scratch_memory_space &scratchStorage, const ordinal_type subcellDim=-1, const ordinal_type subcellOrdinal=-1) const |
Team-level evaluation of basis functions on a reference cell. More... | |
virtual void | getValues (const ExecutionSpace &, OutputViewType, const PointViewType, const EOperator=OPERATOR_VALUE) const |
Evaluation of a FEM basis on a reference cell. More... | |
virtual void | getValues (OutputViewType outputValues, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const |
virtual void | getValues (BasisValues< OutputValueType, DeviceType > outputValues, const TensorPoints< PointValueType, DeviceType > inputPoints, const EOperator operatorType=OPERATOR_VALUE) const |
Evaluation of a FEM basis on a reference cell, using point and output value containers that allow preservation of tensor-product structure. More... | |
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 °rees) 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 > °rees) 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 | getFieldOrdinalsForH1Degree (OrdinalTypeArray1DHost °rees) const |
For hierarchical bases, returns the field ordinals that have at most the specified H^1 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 > | getFieldOrdinalsForH1Degree (std::vector< int > °rees) const |
For hierarchical bases, returns the field ordinals that have at most the specified H^1 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... | |
OrdinalTypeArray1DHost | getH1PolynomialDegreeOfField (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... | |
std::vector< int > | getH1PolynomialDegreeOfFieldAsVector (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. | |
virtual bool | requireOrientation () const |
True if orientation is required. | |
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... | |
virtual int | getNumTensorialExtrusions () const |
returns the number of tensorial extrusions relative to the cell topology returned by getBaseCellTopology(). Base class returns 0; overridden by TensorBasis. | |
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... | |
virtual BasisPtr< DeviceType, OutputValueType, PointValueType > | getSubCellRefBasis (const ordinal_type subCellDim, const ordinal_type subCellOrd) const |
returns the basis associated to a subCell. More... | |
ordinal_type | getDomainDimension () const |
Returns the spatial dimension of the domain of the basis; this is equal to getBaseCellTopology().getDimension() + getNumTensorialExtrusions(). More... | |
Private Attributes | |
std::string | basisName_ |
Additional Inherited Members | |
Protected Member Functions inherited from Intrepid2::Basis< DeviceType, outputValueType, 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< DeviceType, outputValueType, 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. | |
unsigned | basisCellTopologyKey_ |
Identifier of the base topology of the cells for which the basis is defined. See the Shards package for definition of base cell topology. For TensorBasis subclasses, by default this the cell topology that is extruded (i.e., it is a lower-dimensional CellTopology than the space on which the tensor basis is defined). This allows tensor bases to be defined in higher dimensions than shards::CellTopology supports. TensorBasis subclasses can opt to use an equivalent shards CellTopology for base topology, as well as using Intrepid2's tagging for tensor bases in dimensions up to 3, by calling TensorBasis::setShardsTopologyAndTags(). | |
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, DeviceType > | dofCoords_ |
Coordinates of degrees-of-freedom for basis functions defined in physical space. | |
Kokkos::DynRankView < scalarType, DeviceType > | 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... | |
OrdinalTypeArray2DHost | fieldOrdinalH1PolynomialDegree_ |
H^1 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... | |
Implementation of the default HVOL-compatible FEM contstant basis on triangle, quadrilateral, hexahedron and tetrahedron cells.
Definition at line 99 of file Intrepid2_HVOL_C0_FEM.hpp.
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inlineoverridevirtual |
Creates and returns a Basis object whose DeviceType template argument is Kokkos::HostSpace::device_type, but is otherwise identical to this.
Reimplemented from Intrepid2::Basis< DeviceType, outputValueType, pointValueType >.
Definition at line 178 of file Intrepid2_HVOL_C0_FEM.hpp.
References Intrepid2::Basis< DeviceType, outputValueType, pointValueType >::getBaseCellTopology().
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inlineoverridevirtual |
Returns basis name.
Reimplemented from Intrepid2::Basis< DeviceType, outputValueType, pointValueType >.
Definition at line 173 of file Intrepid2_HVOL_C0_FEM.hpp.