Serendipity Basis, defined as the sub-basis of a provided basis, consisting of basis elements for which tensorial component polynomial orders satisfy the Serendipity criterion. More...
#include <Intrepid2_SerendipityBasis.hpp>
Public Member Functions | |
| SerendipityBasis (BasisPtr fullBasis) | |
| Constructor. More... | |
| virtual int | getNumTensorialExtrusions () const override |
| 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... | |
| virtual const char * | getName () const override |
| Returns basis name. More... | |
| 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... | |
| virtual 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 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... | |
| BasisPtr | getUnderlyingBasis () const |
| Returns a pointer to the underlying full basis. More... | |
| OrdinalTypeArray1D | ordinalMap () const |
| Returns the ordinal map from the Serendipity basis ordinal to the ordinal in the underlying full basis. More... | |
Protected Attributes | |
| BasisPtr | fullBasis_ |
| std::string | name_ |
| int | numTensorialExtrusions_ |
| OrdinalTypeArray1D | ordinalMap_ |
Detailed Description
template<typename BasisBaseClass = void>
class Intrepid2::SerendipityBasis< BasisBaseClass >
Serendipity Basis, defined as the sub-basis of a provided basis, consisting of basis elements for which tensorial component polynomial orders satisfy the Serendipity criterion.
Definition at line 28 of file Intrepid2_SerendipityBasis.hpp.
Constructor & Destructor Documentation
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inline |
Constructor.
- Parameters
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[in] basis - the full, hierarchical basis
Definition at line 59 of file Intrepid2_SerendipityBasis.hpp.
Member Function Documentation
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inlineoverridevirtual |
Allocate BasisValues container suitable for passing to the getValues() variant that takes a TensorPoints container as argument.
The basic exact-sequence operators are supported (VALUE, GRAD, DIV, CURL), as are the Dn operators (OPERATOR_D1 through OPERATOR_D10).
Definition at line 197 of file Intrepid2_SerendipityBasis.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.
- Returns
- Pointer to the new Basis object.
Definition at line 271 of file Intrepid2_SerendipityBasis.hpp.
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inlineoverridevirtual |
Returns basis name.
- Returns
- the name of the basis
Definition at line 215 of file Intrepid2_SerendipityBasis.hpp.
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inline |
Returns a pointer to the underlying full basis.
- Returns
- Pointer to the underlying full basis.
Definition at line 282 of file Intrepid2_SerendipityBasis.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.
- Parameters
-
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 SerendipityBasis. It allows a reduced memory footprint and optimized integration, etc.
Definition at line 232 of file Intrepid2_SerendipityBasis.hpp.
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inlineoverridevirtual |
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.
- Parameters
-
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
- Remarks
- For rank and dimension specifications of the output array see Section MD array template arguments for basis methods. Dimensions of ArrayScalar arguments are checked at runtime if HAVE_INTREPID2_DEBUG is defined.
- A FEM basis spans a COMPLETE or INCOMPLETE polynomial space on the reference cell which is a smooth function space. Thus, all operator types that are meaningful for the approximated function space are admissible. When the order of the operator exceeds the degree of the basis, the output array is filled with the appropriate number of zeros.
Definition at line 259 of file Intrepid2_SerendipityBasis.hpp.
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inline |
Returns the ordinal map from the Serendipity basis ordinal to the ordinal in the underlying full basis.
- Returns
- Ordinal map from the Serendipity basis ordinal to the ordinal in the underlying full basis. (Indices to the container are Serendipity basis ordinals; values are full basis ordinals.)
Definition at line 291 of file Intrepid2_SerendipityBasis.hpp.
The documentation for this class was generated from the following file:
- http://docs.trilinos.org/dev/packages/intrepid2/src/Discretization/Basis/Intrepid2_SerendipityBasis.hpp
