Implementation of the default H(grad)-compatible FEM basis of degree 1 on Pyramid cell. More...
#include <Intrepid_HGRAD_PYR_C1_FEM.hpp>
Public Member Functions | |
| Basis_HGRAD_PYR_C1_FEM () | |
| Constructor. | |
| void | getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const |
| FEM basis evaluation on a reference Pyramid cell. | |
| void | getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const ArrayScalar &cellVertices, const EOperator operatorType=OPERATOR_VALUE) const |
| FVD basis evaluation: invocation of this method throws an exception. | |
Private Member Functions | |
| void | initializeTags () |
| Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays. | |
Detailed Description
template<class Scalar, class ArrayScalar>
class Intrepid::Basis_HGRAD_PYR_C1_FEM< Scalar, ArrayScalar >
Implementation of the default H(grad)-compatible FEM basis of degree 1 on Pyramid cell.
Implements Lagrangian basis of degree 1 on the reference Pyramid cell. The basis has cardinality 4 and spans a COMPLETE linear polynomial space. Basis functions are dual to a unisolvent set of degrees-of-freedom (DoF) defined and enumerated as follows:
================================================================================================= | | degree-of-freedom-tag table | | | DoF |----------------------------------------------------------| DoF definition | | ordinal | subc dim | subc ordinal | subc DoF ord |subc num DoF | | |=========|==============|==============|==============|=============|===========================| | 0 | 0 | 0 | 0 | 1 | L_0(u) = u(0,0,0) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 1 | 0 | 1 | 0 | 1 | L_1(u) = u(1,0,0) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 2 | 0 | 2 | 0 | 1 | L_2(u) = u(1,1,0) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 3 | 0 | 3 | 0 | 1 | L_3(u) = u(0,1,0) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 4 | 0 | 4 | 0 | 1 | L_4(u) = u(0,0,1) | |=========|==============|==============|==============|=============|===========================| | MAX | maxScDim=0 | maxScOrd=3 | maxDfOrd=0 | - | | |=========|==============|==============|==============|=============|===========================|
Definition at line 83 of file Intrepid_HGRAD_PYR_C1_FEM.hpp.
Member Function Documentation
| void Intrepid::Basis_HGRAD_PYR_C1_FEM< Scalar, ArrayScalar >::getValues | ( | ArrayScalar & | outputValues, |
| const ArrayScalar & | inputPoints, | ||
| const EOperator | operatorType | ||
| ) | const [virtual] |
FEM basis evaluation on a reference Pyramid cell.
Returns values of operatorType acting on FEM basis functions for a set of points in the reference Pyramid cell. For rank and dimensions of I/O array arguments see Section MD array template arguments for basis methods .
- Parameters:
-
outputValues [out] - rank-2 or 3 array with the computed basis values inputPoints [in] - rank-2 array with dimensions (P,D) containing reference points operatorType [in] - operator applied to basis functions
For rank and dimension specifications of ArrayScalar arguments see basis_array_specs
Implements Intrepid::Basis< Scalar, ArrayScalar >.
Definition at line 98 of file Intrepid_HGRAD_PYR_C1_FEMDef.hpp.
The documentation for this class was generated from the following files:
- /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_PYR_C1_FEM.hpp
- /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_PYR_C1_FEMDef.hpp
