๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle

โœ Scribed by Bernard Bialecki; Andreas Karageorghis


Book ID
111602826
Publisher
Springer US
Year
2004
Tongue
English
Weight
190 KB
Volume
36
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Galerkinโ€“Legendre Spectral Method for th
โœ F. Auteri; L. Quartapelle ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB

A Galerkin-Legendre spectral method for the direct solution of Poisson and Helmholtz equations in a three-dimensional rectangular domain is presented. The method extends Jie Shen's algorithm for 2D problems by using the diagonalization of the three mass matrices in the three spatial directions and f

Spectral Chebyshevโ€“Fourier collocation f
โœ Bernard Bialecki; Andreas Karageorghis ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

The paper is concerned with the spectral collocation solution of the Helmholtz equation in a disk in the polar coordinates r and h. We use spectral Chebyshev collocation in r, spectral Fourier collocation in h, and a simple integral condition to specify the value of the approximate solution at the c