Intrepid2
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Public Types | |
using | OutputViewType = typename HGRAD_LINE::OutputViewType |
using | PointViewType = typename HGRAD_LINE::PointViewType |
using | ScalarViewType = typename HGRAD_LINE::ScalarViewType |
using | BasisBase = typename HGRAD_LINE::BasisBase |
using | DeviceType = typename BasisBase::DeviceType |
using | ExecutionSpace = typename BasisBase::ExecutionSpace |
using | OutputValueType = typename BasisBase::OutputValueType |
using | PointValueType = typename BasisBase::PointValueType |
using | TriVolBasis = HVOL_TRI |
using | LineGradBasis = HGRAD_LINE |
using | TensorBasis = Basis_TensorBasis< BasisBase > |
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using | BasisBase = HGRAD_LINE::BasisBase |
using | BasisPtr = Teuchos::RCP< BasisBase > |
using | DeviceType = typename BasisBase::DeviceType |
using | ExecutionSpace = typename BasisBase::ExecutionSpace |
using | OutputValueType = typename BasisBase::OutputValueType |
using | PointValueType = typename BasisBase::PointValueType |
using | OrdinalTypeArray1DHost = typename BasisBase::OrdinalTypeArray1DHost |
using | OrdinalTypeArray2DHost = typename BasisBase::OrdinalTypeArray2DHost |
using | OutputViewType = typename BasisBase::OutputViewType |
using | PointViewType = typename BasisBase::PointViewType |
using | TensorBasis = Basis_TensorBasis< HGRAD_LINE::BasisBase > |
Public Member Functions | |
Basis_Derived_HDIV_Family2_WEDGE (int polyOrder_xy, int polyOrder_z, const EPointType pointType=POINTTYPE_DEFAULT) | |
Constructor. | |
virtual OperatorTensorDecomposition | getSimpleOperatorDecomposition (const EOperator &operatorType) const override |
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 vector corresponds to a single TensorData entry; a multiple-element vector corresponds to a VectorData object with axialComponents = false. | |
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) | |
virtual void | getDofCoeffs (ScalarViewType dofCoeffs) const override |
Fills in coefficients of degrees of freedom for Lagrangian basis on the reference cell. | |
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. | |
void | getValues (OutputViewType outputValues, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const override |
Evaluation of a FEM basis on a reference cell. | |
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. | |
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. | |
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Basis_TensorBasis (BasisPtr basis1, BasisPtr basis2, EFunctionSpace functionSpace=FUNCTION_SPACE_MAX, const bool useShardsCellTopologyAndTags=false) | |
Constructor. | |
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. | |
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. | |
virtual OperatorTensorDecomposition | getOperatorDecomposition (const EOperator operatorType) const |
Returns a full decomposition of the specified operator. (Full meaning that all TensorBasis components are expanded into their non-TensorBasis components.) | |
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. | |
void | getComponentPoints (const PointViewType inputPoints, const bool attemptTensorDecomposition, PointViewType &inputPoints1, PointViewType &inputPoints2, bool &tensorDecompositionSucceeded) const |
Method to extract component points from composite points. | |
virtual void | getDofCoords (typename BasisBase::ScalarViewType dofCoords) const override |
Fills in spatial locations (coordinates) of degrees of freedom (nodes) on the reference cell. | |
virtual void | getDofCoeffs (typename BasisBase::ScalarViewType dofCoeffs) const override |
Fills in coefficients of degrees of freedom on the reference cell. | |
virtual const char * | getName () const override |
Returns basis name. | |
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. | |
void | getValues (OutputViewType outputValues, const PointViewType inputPoints, const EOperator operatorType=OPERATOR_VALUE) const override |
Evaluation of a FEM basis on a reference cell. | |
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. | |
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. | |
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. | |
Additional Inherited Members | |
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BasisPtr | basis1_ |
BasisPtr | basis2_ |
std::vector< BasisPtr > | tensorComponents_ |
std::string | name_ |
int | numTensorialExtrusions_ |
Definition at line 208 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::BasisBase = typename HGRAD_LINE::BasisBase |
Definition at line 216 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::DeviceType = typename BasisBase::DeviceType |
Definition at line 218 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::ExecutionSpace = typename BasisBase::ExecutionSpace |
Definition at line 219 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::LineGradBasis = HGRAD_LINE |
Definition at line 224 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::OutputValueType = typename BasisBase::OutputValueType |
Definition at line 220 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::OutputViewType = typename HGRAD_LINE::OutputViewType |
Definition at line 212 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::PointValueType = typename BasisBase::PointValueType |
Definition at line 221 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::PointViewType = typename HGRAD_LINE::PointViewType |
Definition at line 213 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::ScalarViewType = typename HGRAD_LINE::ScalarViewType |
Definition at line 214 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::TensorBasis = Basis_TensorBasis<BasisBase> |
Definition at line 226 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
using Intrepid2::Basis_Derived_HDIV_Family2_WEDGE< HVOL_TRI, HGRAD_LINE >::TriVolBasis = HVOL_TRI |
Definition at line 223 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
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Constructor.
[in] | polyOrder_xy | - the polynomial order in the x and y dimensions. |
[in] | polyOrder_z | - the polynomial order in the z dimension. |
[in] | pointType | - type of lattice used for creating the DoF coordinates. |
Definition at line 233 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
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Fills in coefficients of degrees of freedom for Lagrangian basis on the reference cell.
[out] | dofCoeffs | - the container into which to place the degrees of freedom. |
dofCoeffs have shape (F,D), field dimension matches the cardinality of the basis, and D is the basis dimension.
Degrees of freedom coefficients are such that \phi_i(dofCoords_(j)) \cdot dofCoeffs_(j) = \delta_ij, where \phi_i are the basis and \delta_ij the Kronecker delta. Note that getDofCoeffs() is supported only for Lagrangian bases.
Definition at line 331 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
References Intrepid2::Basis_TensorBasis< BasisBaseClass >::getDofCoeffs().
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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 vector corresponds to a single TensorData entry; a multiple-element vector corresponds to a VectorData object with axialComponents = false.
Reimplemented from Intrepid2::Basis_TensorBasis< HGRAD_LINE::BasisBase >.
Definition at line 246 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
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inlineoverridevirtual |
Evaluation of a FEM basis on a reference cell, using point and output value containers that allow preservation of tensor-product structure.
Returns values of operatorType acting on FEM basis functions for a set of points in the reference cell for which the basis is defined.
outputValues | [out] - variable rank array with the basis values. Should be allocated using Basis::allocateBasisValues(). |
inputPoints | [in] - rank-2 array (P,D) with the evaluation points. This should be allocated using Cubature::allocateCubaturePoints() and filled using Cubature::getCubature(). |
operatorType | [in] - the operator acting on the basis function |
This is the preferred getValues() method for TensorBasis and DirectSumBasis and their subclasses. It allows a reduced memory footprint and optimized integration, etc.
Reimplemented from Intrepid2::Basis_TensorBasis< HGRAD_LINE::BasisBase >.
Definition at line 1459 of file Intrepid2_TensorBasis.hpp.
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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.
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 |
inputPoints2 | [in] - rank-2 array (P2,D2) with the evaluation points for basis2 |
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). If tensorPoints is false, then P1 should equal P2, and these should match the points dimension of outputValues.
There are three variants of getValues:
The intent is that subclasses implement this five-argument version; in that implementation, they need to do little else than call the seven-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 1756 of file Intrepid2_TensorBasis.hpp.
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inlineoverridevirtual |
multi-component getValues() method (required/called by TensorBasis)
[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 283 of file Intrepid2_DerivedBasis_HDIV_WEDGE.hpp.
References Intrepid2::Basis_TensorBasis< BasisBaseClass >::getValues().
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inlineoverride |
Evaluation of a 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.
outputValues | [out] - variable rank array with the basis values |
inputPoints | [in] - rank-2 array (P,D) with the evaluation points |
operatorType | [in] - the operator acting on the basis functions |
Definition at line 1614 of file Intrepid2_TensorBasis.hpp.
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inline |
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.
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 |
tensorPoints | [in] - whether the points should be interpreted as tensor components of the evaluation points, or in a one-to-one correspondence |
weight | [in] - optional weight (typically 1.0 or -1.0) |
If tensorPoints is true, then the points dimension of outputValues should be (P1*P2). If tensorPoints is false, then P1 should equal P2, and these should match the points dimension of outputValues.
There are three variants of getValues:
Subclasses should override the five-argument version above; in their implementation, they need to do little else than call this seven-argument version.
Definition at line 1786 of file Intrepid2_TensorBasis.hpp.