Intrepid::Basis_HGRAD_TRI_C1_FEM< Scalar, ArrayScalar > Class Template Reference

Implementation of the default H(grad)-compatible FEM basis of degree 1 on Triangle cell. More...

#include <Intrepid_HGRAD_TRI_C1_FEM.hpp>

Inheritance diagram for Intrepid::Basis_HGRAD_TRI_C1_FEM< Scalar, ArrayScalar >:

List of all members.

Public Member Functions
	Basis_HGRAD_TRI_C1_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.
void	getDofCoords (ArrayScalar &DofCoords) const
	Returns spatial locations (coordinates) of degrees of freedom on a reference Quadrilateral.
Private Member Functions
void	initializeTags ()
	Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.

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Detailed Description

template<class Scalar, class ArrayScalar>
class Intrepid::Basis_HGRAD_TRI_C1_FEM< Scalar, ArrayScalar >

Implementation of the default H(grad)-compatible FEM basis of degree 1 on Triangle cell.

Implements Lagrangian basis of degree 1 on the reference Triangle cell. The basis has cardinality 3 and spans a COMPLETE linear 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)         |
  |=========|==============|==============|==============|=============|===========================|
  |   MAX   |  maxScDim=0  |  maxScOrd=2  |  maxDfOrd=0  |     -       |                           |
  |=========|==============|==============|==============|=============|===========================|
  

Definition at line 81 of file Intrepid_HGRAD_TRI_C1_FEM.hpp.

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Member Function Documentation

template<class Scalar , class ArrayScalar >

void Intrepid::Basis_HGRAD_TRI_C1_FEM< Scalar, ArrayScalar >::getDofCoords

(

ArrayScalar &

DofCoords

)

const [virtual]

Returns spatial locations (coordinates) of degrees of freedom on a reference Quadrilateral.

Parameters:

DofCoords

[out] - array with the coordinates of degrees of freedom, dimensioned (F,D)

Implements Intrepid::DofCoordsInterface< ArrayScalar >.

Definition at line 204 of file Intrepid_HGRAD_TRI_C1_FEMDef.hpp.

template<class Scalar , class ArrayScalar >

void Intrepid::Basis_HGRAD_TRI_C1_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 95 of file Intrepid_HGRAD_TRI_C1_FEMDef.hpp.

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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_C1_FEM.hpp
• /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TRI_C1_FEMDef.hpp