Product of polynomials regular on the surface of a disk. More...

#include <DiskTestFunctions.hpp>

Public Member Functions
	ProductOfPolynomials (size_t pow_nx, size_t pow_ny)

DataVector	operator() (const DataVector &r, const DataVector &phi) const

double	operator() (double r, double phi) const

DataVector	df_dr (const DataVector &r, const DataVector &phi) const

DataVector	df_dph (const DataVector &r, const DataVector &phi) const

double	definite_integral () const

Detailed Description

Product of polynomials regular on the surface of a disk.

Details

Computes \( n_x^{k_x} n_y^{k_y} \) where \(n_x = r \cos \phi\) and \(n_y = r \sin \phi\). The function and its first derivatives are exactly representable by Fourier modes of order \((M)\) if \(M > k_x + k_y\).

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

tests/Unit/Helpers/NumericalAlgorithms/Spectral/DiskTestFunctions.hpp

Public Member Functions

Detailed Description

Details