Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Triangle cell. More...

#include <Intrepid_HDIV_TRI_In_FEM.hpp>

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

Public Member Functions
	Basis_HDIV_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. More...

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.

Public Member Functions inherited from Intrepid::Basis< Scalar, ArrayScalar >
virtual	~Basis ()
	Destructor.

virtual int	getCardinality () const
	Returns cardinality of the basis. More...

virtual int	getDegree () const
	Returns the degree of the basis. More...

virtual const shards::CellTopology	getBaseCellTopology () const
	Returns the base cell topology for which the basis is defined. See Shards documentation http://trilinos.sandia.gov/packages/shards for definition of base cell topology. More...

virtual EBasis	getBasisType () const
	Returns the basis type. More...

virtual ECoordinates	getCoordinateSystem () const
	Returns the type of coordinate system for which the basis is defined. More...

virtual int	getDofOrdinal (const int subcDim, const int subcOrd, const int subcDofOrd)
	DoF tag to ordinal lookup. More...

virtual const std::vector < std::vector< std::vector < int > > > &	getDofOrdinalData ()
	DoF tag to ordinal data structure.

virtual const std::vector< int > &	getDofTag (const int dofOrd)
	DoF ordinal to DoF tag lookup. More...

virtual const std::vector < std::vector< int > > &	getAllDofTags ()
	Retrieves all DoF tags. More...

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 out of which the nodal basis is constructed.

FieldContainer< Scalar >	coeffs
	expansion coefficients of the nodal basis in terms of the orthgonal one

Additional Inherited Members
Protected Attributes inherited from Intrepid::Basis< Scalar, ArrayScalar >
int	basisCardinality_
	Cardinality of the basis, i.e., the number of basis functions/degrees-of-freedom.

int	basisDegree_
	Degree of the largest complete polynomial space that can be represented by the basis.

shards::CellTopology	basisCellTopology_
	Base topology of the cells for which the basis is defined. See the Shards package http://trilinos.sandia.gov/packages/shards for definition of base cell topology.

EBasis	basisType_
	Type of the basis.

ECoordinates	basisCoordinates_
	The coordinate system for which the basis is defined.

bool	basisTagsAreSet_
	"true" if tagToOrdinal_ and ordinalToTag_ have been initialized

std::vector< std::vector< int > >	ordinalToTag_
	DoF ordinal to tag lookup table. More...

std::vector< std::vector < std::vector< int > > >	tagToOrdinal_
	DoF tag to ordinal lookup table. More...

Detailed Description

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

Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Triangle cell.

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 degrees-of-freedom (DoF) defined and enumerated as

The normal component on a lattice of order n+1 and offset 1 on each edge (see PointTools). This gives one point per edge in the lowest-order case. These are the first 3 * n degrees of freedom

If n > 1, the x and y components at a lattice of order n+1 and offset on the triangle. These are the rest of the 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 of order n+1 is chosen for
    the interior points.

Definition at line 93 of file Intrepid_HDIV_TRI_In_FEM.hpp.

Member Function Documentation

template<class Scalar , class ArrayScalar >

void Intrepid::Basis_HDIV_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 <var>operatorType</var> acting on FEM basis functions for a set of
    points in the <strong>reference Triangle</strong> cell. For rank and dimensions of
    I/O array arguments see Section \ref basis_md_array_sec .

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 285 of file Intrepid_HDIV_TRI_In_FEMDef.hpp.

Referenced by main().

The documentation for this class was generated from the following files:

http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Basis/Intrepid_HDIV_TRI_In_FEM.hpp
http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Basis/Intrepid_HDIV_TRI_In_FEMDef.hpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

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

Member Function Documentation

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