This is specialized on 0th derivatives to make the tabulate function run through recurrence relations. More...

Static Public Member Functions
static void	tabulate (ArrayScalar &outputValues, const int deg, const ArrayScalar &inputPoints)
	basic tabulate mathod evaluates the basis functions at inputPoints into outputValues. More...

static int	idx (int p, int q, int r)
	function for indexing from orthogonal expansion indices into linear space p+q+r = the degree of the polynomial. More...

static void	jrc (const Scalar &alpha, const Scalar &beta, const int &n, Scalar &an, Scalar &bn, Scalar &cn)
	function for computing the Jacobi recurrence coefficients so that More...

Detailed Description

This is specialized on 0th derivatives to make the tabulate function run through recurrence relations.

Member Function Documentation

template<typename Scalar , typename ArrayScalar >

static int Intrepid::TabulatorTet< Scalar, ArrayScalar, 0 >::idx	(	int	p,
		int	q,
		int	r
	)

inlinestatic

function for indexing from orthogonal expansion indices into linear space p+q+r = the degree of the polynomial.

Parameters

template<typename Scalar , typename ArrayScalar >

static void Intrepid::TabulatorTet< Scalar, ArrayScalar, 0 >::jrc	(	const Scalar &	alpha,
		const Scalar &	beta,
		const int &	n,
		Scalar &	an,
		Scalar &	bn,
		Scalar &	cn
	)

inlinestatic

function for computing the Jacobi recurrence coefficients so that

Parameters

alpha	[in] - the first Jacobi weight
beta	[in] - the second Jacobi weight
n	[n] - the polynomial degree
an	[out] - the a weight for recurrence
bn	[out] - the b weight for recurrence
cn	[out] - the c weight for recurrence

The recurrence is

$P^{\alpha,\beta}_{n+1} = \left( a_n + b_n x\right) P^{\alpha,\beta}_n - c_n P^{\alpha,\beta}_{n-1}$

, where

$P^{\alpha,\beta}_0 = 1$

template<class Scalar , class ArrayScalar >

void Intrepid::TabulatorTet< Scalar, ArrayScalar, 0 >::tabulate	(	ArrayScalar &	outputValues,
		const int	deg,
		const ArrayScalar &	inputPoints
	)

static

basic tabulate mathod evaluates the basis functions at inputPoints into outputValues.

Parameters

[out]	outputValues	- rank 2 array (F,P) holding the basis functions at points.
[in]	deg	- the degree up to which to tabulate the bases
[in]	inputPoints	- a rank 2 array containing the points at which to evaluate the basis functions.

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

http://docs.trilinos.org/dev/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TET_Cn_FEM_ORTH.hpp
http://docs.trilinos.org/dev/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TET_Cn_FEM_ORTHDef.hpp