Intrepid

Implementation of the default H(grad)compatible Lagrange basis of arbitrary degree on Tetrahedron cell. More...
#include <Intrepid_HGRAD_TET_Cn_FEM.hpp>
Public Member Functions  
Basis_HGRAD_TET_Cn_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_TET_Cn_FEM_ORTH < Scalar, FieldContainer < Scalar > >  Phis 
The orthogonal basis on triangles, out of which the nodal basis is constructed.  
FieldContainer< Scalar >  V 
The Vandermonde matrix with V_{ij} = phi_i(x_j), where x_j is the j_th point in the lattice.  
FieldContainer< Scalar >  Vinv 
The inverse of V. The columns of Vinv express the Lagrange basis in terms of the orthogonal basis.  
FieldContainer< Scalar >  latticePts 
stores the points at which degrees of freedom are located. 
Implementation of the default H(grad)compatible Lagrange basis of arbitrary degree on Tetrahedron cell.
Implements Lagrangian basis of degree n on the reference Tetrahedron cell. The basis has cardinality (n+1)(n+2)(n+3)/6 and spans a COMPLETE polynomial space of degree n. Nodal basis functions are dual to a unisolvent set of degreesoffreedom (DoF) defined at a lattice of order n (see PointTools). In particular, the degrees of freedom are point evaluation at
The distribution of these points is specified by the pointType argument to the class constructor. Currently, either equispaced lattice points or Warburton's warpblend points are available.
The dof are enumerated according to the ordering on the lattice (see PointTools). In particular, dof number 0 is at the vertex (0,0,0). The dof increase along the lattice with points along the lines of constant x adjacent in the enumeration.
Definition at line 88 of file Intrepid_HGRAD_TET_Cn_FEM.hpp.
void Intrepid::Basis_HGRAD_TET_Cn_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 257 of file Intrepid_HGRAD_TET_Cn_FEMDef.hpp.
Referenced by main().