This is specialized on 0th derivatives to make the tabulate function run through recurrence relations. More...
#include <Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp>
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) |
| function for indexing from orthogonal expansion indices into linear space p+q = 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
template<typename Scalar, typename ArrayScalar>
class Intrepid::TabulatorTri< Scalar, ArrayScalar, 0 >
This is specialized on 0th derivatives to make the tabulate function run through recurrence relations.
Definition at line 144 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp.
Member Function Documentation
|
inlinestatic |
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 164 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp.
|
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
![\[ P^{\alpha,\beta}_{n+1} = \left( a_n + b_n x\right) P^{\alpha,\beta}_n - c_n P^{\alpha,\beta}_{n-1} \]](form_312.png)
, where
![\[ P^{\alpha,\beta}_0 = 1 \]](form_313.png)
Definition at line 187 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp.
|
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:
- http://docs.trilinos.org/dev/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp
- http://docs.trilinos.org/dev/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TRI_Cn_FEM_ORTHDef.hpp
