Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Tetrahedron cell. The lowest order instance starts with n. Implements the nodal basis of degree n the reference Tetrahedron cell. The basis has cardinality n(n+1)(n+3)/2 and spans an INCOMPLETE polynomial space of degree n. Basis functions are dual to a unisolvent set of degrees-of-freedom (DoF) defined and enumerated as follows: More...
#include <Intrepid_HDIV_TET_In_FEM.hpp>
Public Member Functions | |
| Basis_HDIV_TET_In_FEM (const int n, const EPointType pointType) | |
| Constructor. | |
| void | getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const |
| Evaluation of a FEM basis on a reference Tetrahedron 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 | |
| virtual void | initializeTags () |
| Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays. | |
Private Attributes | |
|
Basis_HGRAD_TET_Cn_FEM_ORTH < Scalar, FieldContainer < Scalar > > | Phis_ |
| Orthogonal basis out of which the nodal basis is constructed. | |
| FieldContainer< Scalar > | coeffs_ |
| expansion coefficients of the nodal basis in terms of the orthgonal one | |
Detailed Description
template<class Scalar, class ArrayScalar>
class Intrepid::Basis_HDIV_TET_In_FEM< Scalar, ArrayScalar >
Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Tetrahedron cell. The lowest order instance starts with n. Implements the nodal basis of degree n the reference Tetrahedron cell. The basis has cardinality n(n+1)(n+3)/2 and spans an INCOMPLETE polynomial space of degree n. Basis functions are dual to a unisolvent set of degrees-of-freedom (DoF) defined and enumerated as follows:
- The normal component on a lattice of order n+1 and offset 1 on each face (see PointTools). This gives one point per edge in the lowest-order case. These are the first 4 * (n*(n+1)/2) degrees of freedom.
- If n > 1, the x and y z components at a lattice of order n+2 and offset on the interior of the tetrahedron. These are the rest of the degrees of freedom.
If the pointType argument to the constructor specifies equispaced points, then the face and interior points will be equispaced. If the pointType argument specifies warp-blend points, the interior of a warp-blend lattice will be used on each face and also for the cell interior.
Definition at line 91 of file Intrepid_HDIV_TET_In_FEM.hpp.
Member Function Documentation
| void Intrepid::Basis_HDIV_TET_In_FEM< Scalar, ArrayScalar >::getValues | ( | ArrayScalar & | outputValues, |
| const ArrayScalar & | inputPoints, | ||
| const EOperator | operatorType | ||
| ) | const [virtual] |
Evaluation of a FEM basis on a reference Tetrahedron 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 282 of file Intrepid_HDIV_TET_In_FEMDef.hpp.
Referenced by main().
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_HDIV_TET_In_FEM.hpp
- /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HDIV_TET_In_FEMDef.hpp
