Implementation of the default H(grad)-compatible FEM basis of degree 2 on Triangle cell. More...
#include <Intrepid_HGRAD_TRI_C2_FEM.hpp>
Public Member Functions | |
| Basis_HGRAD_TRI_C2_FEM () | |
| Constructor. | |
| void | getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const |
| Evaluation of a FEM basis on a reference Triangle 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_TRI_C2_FEM< Scalar, ArrayScalar >
Implementation of the default H(grad)-compatible FEM basis of degree 2 on Triangle cell.
Implements Lagrangian basis of degree 2 on the reference Triangle cell. The basis has cardinality 6 and spans a COMPLETE quadratic 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) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 1 | 0 | 1 | 0 | 1 | L_1(u) = u(1,0) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 2 | 0 | 2 | 0 | 1 | L_2(u) = u(0,1) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 3 | 1 | 0 | 0 | 1 | L_3(u) = u(1/2,0) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 4 | 1 | 1 | 0 | 1 | L_4(u) = u(1/2,1/2) | |---------|--------------|--------------|--------------|-------------|---------------------------| | 5 | 1 | 2 | 0 | 1 | L_5(u) = u(0,1/2) | |=========|==============|==============|==============|=============|===========================| | MAX | maxScDim=1 | maxScOrd=2 | maxDfOrd=0 | - | | |=========|==============|==============|==============|=============|===========================|
Definition at line 87 of file Intrepid_HGRAD_TRI_C2_FEM.hpp.
Member Function Documentation
| void Intrepid::Basis_HGRAD_TRI_C2_FEM< Scalar, ArrayScalar >::getValues | ( | ArrayScalar & | outputValues, |
| const ArrayScalar & | inputPoints, | ||
| const EOperator | operatorType | ||
| ) | const [virtual] |
Evaluation of a FEM basis on a reference Triangle cell.
Returns values of operatorType acting on FEM basis functions for a set of points in the reference Triangle cell. For rank and dimensions of I/O array arguments see Section MD array template arguments for basis methods .
- 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
Implements Intrepid::Basis< Scalar, ArrayScalar >.
Definition at line 98 of file Intrepid_HGRAD_TRI_C2_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_TRI_C2_FEM.hpp
- /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TRI_C2_FEMDef.hpp
