Intrepid::OrthogonalBases Class Reference

List of all members.

Static Public Member Functions
template<class Scalar , class ScalarArray1 , class ScalarArray2 >
static void	tabulateTriangle (const ScalarArray1 &z, const int n, ScalarArray2 &poly_val)
	Calculates triangular orthogonal expansions (e.g. Dubiner basis) at a range of input points.
template<class Scalar , class ScalarArray1 , class ScalarArray2 >
static void	tabulateTetrahedron (const ScalarArray1 &z, const int n, ScalarArray2 &poly_val)
	Calculates triangular orthogonal expansions (e.g. Dubiner basis) at a range of input points.
Static Private Member Functions
template<class Scalar >
static void	jrc (const Scalar &alpha, const Scalar &beta, const int &n, Scalar &an, Scalar &bn, Scalar &cn)
	computes Jacobi recurrence coefficients of order n with weights a,b so that P^{alpha,beta}_{n+1}(x) = (an x + bn) P^{alpha,beta}_n(x) - cn P^{alpha,beta}_{n-1}(x)
static int	idxtri (int p, int q)
	Given indices p,q, computes the linear index of the Dubiner polynomial D^{p,q}.
static int	idxtet (int p, int q, int r)
	Given indices p,q,r, computes the linear index of the tetrahedral polynomial D^{p,q,r}.

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Detailed Description

Definition at line 80 of file Intrepid_OrthogonalBases.hpp.

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Member Function Documentation

template<class Scalar , class ScalarArray1 , class ScalarArray2 >

void Intrepid::OrthogonalBases::tabulateTetrahedron	(	const ScalarArray1 &	z,
		const int	n,
		ScalarArray2 &	poly_val
	)		[static]

Calculates triangular orthogonal expansions (e.g. Dubiner basis) at a range of input points.

Parameters:

np	[in] - number of input points
z	[in] - 2d array of points z(pt,3)
n	[in] - the maximum polynomial degree tabulated
poly_val	[out] - 2d array poly_val((n+1)(n+2)(n+3)/6,np)

• The ScalarArray types must support (i,j) indexing and a dimension(i) operation.

Definition at line 142 of file Intrepid_OrthogonalBasesDef.hpp.

References idxtet(), and jrc().

template<class Scalar , class ScalarArray1 , class ScalarArray2 >

void Intrepid::OrthogonalBases::tabulateTriangle	(	const ScalarArray1 &	z,
		const int	n,
		ScalarArray2 &	poly_val
	)		[static]

Calculates triangular orthogonal expansions (e.g. Dubiner basis) at a range of input points.

Parameters:

np	[in] - number of input points
z	[in] - 2d array of points z(pt,2)
n	[in] - the maximum polynomial degree tabulated
poly_val	[out] - 2d array poly_val((n+1)(n+2)/2,np)

• The ScalarArray types must support (i,j) indexing and a dimension(i) operation.

Definition at line 65 of file Intrepid_OrthogonalBasesDef.hpp.

References idxtri(), and jrc().

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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_OrthogonalBases.hpp
• /usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_OrthogonalBasesDef.hpp