Public Types | |
| using | BasisPtr = Teuchos::RCP< BasisBase > |
 Public Types inherited from Intrepid2::Basis_TensorBasis< BasisBaseClass > | |
| using | BasisBase = BasisBaseClass |
| using | BasisPtr = Teuchos::RCP< BasisBaseClass > |
| using | DeviceType = typename BasisBaseClass::DeviceType |
| using | ExecutionSpace = typename BasisBaseClass::ExecutionSpace |
| using | OutputValueType = typename BasisBaseClass::OutputValueType |
| using | PointValueType = typename BasisBaseClass::PointValueType |
| using | OrdinalTypeArray1DHost = typename BasisBaseClass::OrdinalTypeArray1DHost |
| using | OrdinalTypeArray2DHost = typename BasisBaseClass::OrdinalTypeArray2DHost |
| using | OutputViewType = typename BasisBaseClass::OutputViewType |
| using | PointViewType = typename BasisBaseClass::PointViewType |
| using | TensorBasis = Basis_TensorBasis< BasisBaseClass > |
Public Member Functions | |
| Basis_TensorBasis3 (BasisPtr basis1, BasisPtr basis2, BasisPtr basis3, const bool useShardsCellTopologyAndTags=false) | |
| virtual OperatorTensorDecomposition | getOperatorDecomposition (const EOperator operatorType) const override |
| Returns a full decomposition of the specified operator. (Full meaning that all TensorBasis components are expanded into their non-TensorBasis components.) More... | |
| virtual void | getValues (OutputViewType outputValues, const EOperator operatorType, const PointViewType inputPoints12, const PointViewType inputPoints3, bool tensorPoints) const override |
| Evaluation of a tensor FEM basis on a reference cell. More... | |
| virtual void | getValues (OutputViewType outputValues, const EOperator operatorType, const PointViewType inputPoints1, const PointViewType inputPoints2, const PointViewType inputPoints3, bool tensorPoints) const =0 |
| 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, const PointViewType inputPoints3, const EOperator operatorType3, bool tensorPoints, double weight=1.0) const |
| Evaluation of a tensor FEM basis on a reference cell; subclasses should override this. More... | |
| virtual void | getDofCoeffs (typename BasisBase::ScalarViewType dofCoeffs) const override |
| Fills in coefficients of degrees of freedom on the reference cell. 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_TensorBasis< BasisBaseClass > | |
| Basis_TensorBasis (BasisPtr basis1, BasisPtr basis2, EFunctionSpace functionSpace=FUNCTION_SPACE_MAX, const bool useShardsCellTopologyAndTags=false) | |
| Constructor. More... | |
| void | setShardsTopologyAndTags () |
| virtual int | getNumTensorialExtrusions () const override |
| 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... | |
| virtual OperatorTensorDecomposition | getSimpleOperatorDecomposition (const EOperator &operatorType) const |
| Returns a simple decomposition of the specified operator: what operator(s) should be applied to basis1, and what operator(s) to basis2. A one-element OperatorTensorDecomposition corresponds to a single TensorData entry; a multiple-element OperatorTensorDecomposition corresponds to a VectorData object with axialComponents = false. More... | |
| virtual BasisValues < OutputValueType, DeviceType > | allocateBasisValues (TensorPoints< PointValueType, DeviceType > points, const EOperator operatorType=OPERATOR_VALUE) const override |
| Allocate BasisValues container suitable for passing to the getValues() variant that takes a TensorPoints container as argument. 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 BasisBaseClass::ScalarViewType dofCoords) const override |
| Fills in spatial locations (coordinates) of degrees of freedom (nodes) on the reference cell. More... | |
| virtual void | getDofCoeffs (typename BasisBaseClass::ScalarViewType dofCoeffs) const override |
| Fills in coefficients of degrees of freedom on the reference cell. More... | |
| virtual const char * | getName () const override |
| Returns basis name. More... | |
| std::vector< BasisPtr > | getTensorBasisComponents () const |
| virtual void | getValues (BasisValues< OutputValueType, DeviceType > outputValues, const TensorPoints< PointValueType, DeviceType > inputPoints, const EOperator operatorType=OPERATOR_VALUE) const override |
| Evaluation of a FEM basis on a reference cell, using point and output value containers that allow preservation of tensor-product structure. 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... | |
| 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... | |
Protected Attributes | |
| BasisPtr | basis1_ |
| BasisPtr | basis2_ |
| BasisPtr | basis3_ |
| Protected Attributes inherited from Intrepid2::Basis_TensorBasis< BasisBaseClass > | |
| BasisPtr | basis1_ |
| BasisPtr | basis2_ |
| std::vector< BasisPtr > | tensorComponents_ |
| std::string | name_ |
| int | numTensorialExtrusions_ |
Private Types | |
| using | BasisBase = BasisBaseClass |
| using | TensorBasis = Basis_TensorBasis< BasisBase > |
Detailed Description
template<typename BasisBaseClass = void>
class Intrepid2::Basis_TensorBasis3< BasisBaseClass >
Definition at line 2137 of file Intrepid2_TensorBasis.hpp.
Member Function Documentation
|
inlineoverridevirtual |
Fills in coefficients of degrees of freedom on the reference cell.
- Parameters
-
[out] dofCoeffs - the container into which to place the degrees of freedom.
dofCoeffs is a rank 1 with dimension equal to the cardinality of the basis.
Note that getDofCoeffs() is not supported by all bases; in particular, hierarchical bases do not generally support this.
Definition at line 2398 of file Intrepid2_TensorBasis.hpp.
Referenced by Intrepid2::Basis_Derived_HDIV_Family1_HEX< HGRAD_LINE, HVOL_LINE >::getDofCoeffs(), Intrepid2::Basis_Derived_HCURL_Family1_HEX< HGRAD_LINE, HVOL_LINE >::getDofCoeffs(), Intrepid2::Basis_Derived_HDIV_Family2_HEX< HGRAD_LINE, HVOL_LINE >::getDofCoeffs(), Intrepid2::Basis_Derived_HCURL_Family2_HEX< HGRAD_LINE, HVOL_LINE >::getDofCoeffs(), Intrepid2::Basis_Derived_HDIV_Family3_HEX< HGRAD_LINE, HVOL_LINE >::getDofCoeffs(), and Intrepid2::Basis_Derived_HCURL_Family3_HEX< HGRAD_LINE, HVOL_LINE >::getDofCoeffs().
|
inlineoverridevirtual |
Creates and returns a Basis object whose DeviceType template argument is Kokkos::HostSpace::device_type, but is otherwise identical to this.
- Returns
- Pointer to the new Basis object.
Reimplemented from Intrepid2::Basis_TensorBasis< BasisBaseClass >.
Definition at line 2434 of file Intrepid2_TensorBasis.hpp.
|
inlineoverridevirtual |
Returns a full decomposition of the specified operator. (Full meaning that all TensorBasis components are expanded into their non-TensorBasis components.)
The outer container has a length that corresponds to the number of vector components in output; the inner container has one entry per basis component.
A one-element outer container corresponds to a single TensorData entry; a multiple-element outer container corresponds to a VectorData object with axialComponents = false.
Reimplemented from Intrepid2::Basis_TensorBasis< BasisBaseClass >.
Definition at line 2174 of file Intrepid2_TensorBasis.hpp.
|
inlineoverridevirtual |
Evaluation of a tensor FEM basis on a reference cell.
Returns values of operatorType acting on FEM basis functions for a set of points in the reference cell for which the basis is defined.
- Parameters
-
outputValues [out] - variable rank array with the basis values operatorType [in] - the operator acting on the basis functions inputPoints12 [in] - rank-2 array (P12,D12) with the evaluation points for basis12 inputPoints3 [in] - rank-2 array (P3,D3) with the evaluation points for basis3 tensorPoints [in] - whether the points should be interpreted as tensor components of the evaluation points, or in a one-to-one correspondence
If tensorPoints is true, then the points dimension of outputValues should be (P12*P3). If tensorPoints is false, then P12 should equal P3, and these should match the points dimension of outputValues.
There are four variants of getValues:
- The three-argument version defined by Intrepid2::Basis. TensorBasis provides an implementation of this, which calls the five-argument version (this one).
- The five-argument version (this method), which provides partially separated point sets for the component bases. TensorBasis3 provides an implementation of this, which calls the six-argument version.
- The six-argument version, which fully separates the point sets for the component bases. Subclasses should implement this; they essentially specify the decomposition of the operator.
- The nine-argument version (below), implemented by TensorBasis3, which provides separate point sets and operators for the component bases, as well as an optional weight.
The intent is that subclasses implement the six-argument version; in that implementation, they need to do little else than call the nine-argument version below.
Note that the three-argument implementation handles the OPERATOR_Dn operators directly; that is, subclasses can omit any consideration of OPERATOR_Dn operators in their implementation of the six-argument version.
Reimplemented from Intrepid2::Basis_TensorBasis< BasisBaseClass >.
Definition at line 2207 of file Intrepid2_TensorBasis.hpp.
Referenced by Intrepid2::Basis_Derived_HDIV_Family1_HEX< HGRAD_LINE, HVOL_LINE >::getValues(), Intrepid2::Basis_Derived_HCURL_Family1_HEX< HGRAD_LINE, HVOL_LINE >::getValues(), Intrepid2::Basis_Derived_HDIV_Family2_HEX< HGRAD_LINE, HVOL_LINE >::getValues(), Intrepid2::Basis_Derived_HCURL_Family2_HEX< HGRAD_LINE, HVOL_LINE >::getValues(), Intrepid2::Basis_Derived_HDIV_Family3_HEX< HGRAD_LINE, HVOL_LINE >::getValues(), Intrepid2::Basis_Derived_HCURL_Family3_HEX< HGRAD_LINE, HVOL_LINE >::getValues(), and Intrepid2::Basis_TensorBasis3< HGRAD_LINE::BasisBase >::getValues().
|
pure virtual |
Evaluation of a tensor FEM basis on a reference cell; subclasses should override this.
Returns values of operatorType acting on FEM basis functions for a set of points in the reference cell for which the basis is defined.
- Parameters
-
outputValues [out] - variable rank array with the basis values operatorType [in] - the operator acting on the basis functions inputPoints1 [in] - rank-2 array (P1,D1) with the evaluation points for basis1 inputPoints1 [in] - rank-2 array (P2,D2) with the evaluation points for basis2 inputPoints3 [in] - rank-2 array (P3,D3) with the evaluation points for basis3 tensorPoints [in] - whether the points should be interpreted as tensor components of the evaluation points, or in a one-to-one correspondence
Subclasses should override this method; this gives them an opportunity to specify how operatorType should be decomposed into operators on the component bases.
If tensorPoints is true, then the points dimension of outputValues should be (P1*P2*P3). If tensorPoints is false, then P1 should equal P2 and P2 should equal P3, and these should match the points dimension of outputValues.
There are four variants of getValues:
- The three-argument version defined by Intrepid2::Basis. TensorBasis provides an implementation of this, which calls the five-argument version (this one).
- The five-argument version (above), which provides partially separated point sets for the component bases. TensorBasis3 provides an implementation of this, which calls the six-argument version.
- The six-argument version (this method), which fully separates the point sets for the component bases. Subclasses should implement this; they essentially specify the decomposition of the operator.
- The nine-argument version (below), implemented by TensorBasis3, which provides separate point sets and operators for the component bases, as well as an optional weight.
The intent is that subclasses implement this six-argument version; in that implementation, they need to do little else than call the nine-argument version below.
Note that the three-argument implementation handles the OPERATOR_Dn operators directly; that is, subclasses can omit any consideration of OPERATOR_Dn operators in their implementation of the five-argument version.
|
inline |
Evaluation of a tensor FEM basis on a reference cell; subclasses should override this.
Returns values of operatorType acting on FEM basis functions for a set of points in the reference cell for which the basis is defined.
- Parameters
-
outputValues [out] - variable rank array with the basis values inputPoints1 [in] - rank-2 array (P1,D1) with the evaluation points for basis1 operatorType1 [in] - the operator acting on basis1 inputPoints2 [in] - rank-2 array (P2,D2) with the evaluation points for basis2 operatorType2 [in] - the operator acting on basis2 inputPoints3 [in] - rank-2 array (P3,D3) with the evaluation points for basis3 operatorType3 [in] - the operator acting on basis3 tensorPoints [in] - whether the points should be interpreted as tensor components of the evaluation points, or in a one-to-one correspondence
If tensorPoints is true, then the points dimension of outputValues should be (P1*P2*P3). If tensorPoints is false, then P1 should equal P2 and P2 should equal P3, and these should match the points dimension of outputValues.
There are four variants of getValues:
- The three-argument version defined by Intrepid2::Basis. TensorBasis provides an implementation of this, which calls the five-argument version (this one).
- The five-argument version (above), which provides partially separated point sets for the component bases. TensorBasis3 provides an implementation of this, which calls the six-argument version.
- The six-argument version (this method), which fully separates the point sets for the component bases. Subclasses should implement this; they essentially specify the decomposition of the operator.
- The nine-argument version (below), implemented by TensorBasis3, which provides separate point sets and operators for the component bases, as well as an optional weight.
The intent is that subclasses implement this six-argument version; in that implementation, they need to do little else than call the nine-argument version below.
Note that the three-argument implementation handles the OPERATOR_Dn operators directly; that is, subclasses can omit any consideration of OPERATOR_Dn operators in their implementation of the five-argument version.
Definition at line 2294 of file Intrepid2_TensorBasis.hpp.
The documentation for this class was generated from the following file:
- http://docs.trilinos.org/dev/packages/intrepid2/src/Discretization/Basis/Intrepid2_TensorBasis.hpp
