Intrepid

Implementation of the default H(curl)compatible Nedelec (first kind) basis of arbitrary degree on Triangle cell. The lowest order space is indexed with 1 rather than 0. Implements nodal basis of degree n (n>=1) on the reference Triangle cell. The basis has cardinality n(n+2) and spans an INCOMPLETE polynomial space of degree n. Basis functions are dual to a unisolvent set of degreesoffreedom (DoF) defined by. More...
#include <Intrepid_HCURL_TRI_In_FEM.hpp>
Public Member Functions  
Basis_HCURL_TRI_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 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  
virtual void  initializeTags () 
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.  
Private Attributes  
Basis_HGRAD_TRI_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_. 
Implementation of the default H(curl)compatible Nedelec (first kind) basis of arbitrary degree on Triangle cell. The lowest order space is indexed with 1 rather than 0. Implements nodal basis of degree n (n>=1) on the reference Triangle cell. The basis has cardinality n(n+2) and spans an INCOMPLETE polynomial space of degree n. Basis functions are dual to a unisolvent set of degreesoffreedom (DoF) defined by.
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 warpblend points, then GaussLobatto points of order n are chosen on each edge and the interior of warpblend lattice of order n+1 is chosen for the interior points.
Definition at line 83 of file Intrepid_HCURL_TRI_In_FEM.hpp.
void Intrepid::Basis_HCURL_TRI_In_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 .
outputValues  [out]  variable rank array with the basis values 
inputPoints  [in]  rank2 array (P,D) with the evaluation points 
operatorType  [in]  the operator acting on the basis functions 
Implements Intrepid::Basis< Scalar, ArrayScalar >.
Definition at line 288 of file Intrepid_HCURL_TRI_In_FEMDef.hpp.
Referenced by main().