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.

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.

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

Detailed Description

template<typename Scalar, typename ArrayScalar>
class Intrepid::TabulatorTet< Scalar, ArrayScalar, 0 >

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:

/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TET_Cn_FEM_ORTH.hpp
/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TET_Cn_FEM_ORTHDef.hpp