Implementation of the default H(curl)-compatible Nedelec (first kind) basis of arbitrary degree on Tetrahedron cell. The lowest order space is indexted with 1 rather than 0. Implements nodal basis of degree n (n>=1) on the reference Tetrahedron cell. The basis has cardinality n*(n+2)*(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 by. More...
#include <Intrepid_HCURL_TET_In_FEM.hpp>
Public Member Functions | |
| Basis_HCURL_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 of ofder n, in terms of which the H(curl) basis functions are expressed. | |
| FieldContainer< Scalar > | coeffs_ |
| Array holding the expansion coefficients of the nodal basis in terms of Phis_. | |
Detailed Description
template<class Scalar, class ArrayScalar>
class Intrepid::Basis_HCURL_TET_In_FEM< Scalar, ArrayScalar >
Implementation of the default H(curl)-compatible Nedelec (first kind) basis of arbitrary degree on Tetrahedron cell. The lowest order space is indexted with 1 rather than 0. Implements nodal basis of degree n (n>=1) on the reference Tetrahedron cell. The basis has cardinality n*(n+2)*(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 by.
- The tangential component of the vector field at n points per edge. These are the first 6 * n dof.
- The components in the directions of the tangents to each face (see CellTools) on a lattice of order n+1 with offset 1 (see PointTools) on each face. These are the next 4 * n*(n-1) dof.
- The x,y,z components on a lattice of order n+1 with offset 1 on the interior of the tetrahedron, the remaining degrees of freedom.
If the pointType argument to the constructor specifies equispaced points, then the edge points will be equispaced on each edge and the interior points equispaced also. If the pointType argument specifies warp-blend points, then Gauss-Lobatto points of order n are chosen on each edge and the interior of warp-blend lattice is chosen on each face and the interior.
Definition at line 95 of file Intrepid_HCURL_TET_In_FEM.hpp.
Member Function Documentation
| void Intrepid::Basis_HCURL_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 Tetrahedron 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 433 of file Intrepid_HCURL_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_HCURL_TET_In_FEM.hpp
- /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HCURL_TET_In_FEMDef.hpp
