Intrepid
Static Public Member Functions
Intrepid::TabulatorTri< Scalar, ArrayScalar, 0 > Class Template Reference

List of all members.

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)
 function for indexing from orthogonal expansion indices into linear space p+q = 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::TabulatorTri< Scalar, ArrayScalar, 0 >

Definition at line 145 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp.


Member Function Documentation

template<typename Scalar , typename ArrayScalar >
static int Intrepid::TabulatorTri< Scalar, ArrayScalar, 0 >::idx ( int  p,
int  q 
) [inline, static]

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

Parameters:
p[in] - the first index
q[in] - the second index

Definition at line 165 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp.

template<typename Scalar , typename ArrayScalar >
static void Intrepid::TabulatorTri< Scalar, ArrayScalar, 0 >::jrc ( const Scalar &  alpha,
const Scalar &  beta,
const int &  n,
Scalar &  an,
Scalar &  bn,
Scalar &  cn 
) [inline, static]

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

\[ P^{\alpha,\beta}_0 = 1 \]

Definition at line 188 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp.

template<typename Scalar , typename ArrayScalar >
void Intrepid::TabulatorTri< 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.

Definition at line 156 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTHDef.hpp.


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