Re: Spectral Methods for the computation of the Helmholtz equation ininhomogeneous medium

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#16408

From: Paul Ney
Date: Tue, 06 Jul 1999 00:00

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Hello Alexandre:

Alexandre Piot wrote:

> Hello!
>
> I currently work on the resolution of the Helmholtz equation in 2
> dimensions in inhomogeneous medium.
> The propagation medium is large and we seek to apply the so-called
> spectral methods to solve the 2D Helmholtz equation with a reasonnable
> amount of computer memory.
>
> My problem is that I do not know how to deal with the huge convolution
> matrix I encounter once I compute the FFT. Does anyone know about these
> spectral methods? Or know about a book or an article, a thesis which
> deals with it?

An excellent text on the subject is "Spectral Methods in Fluid Dynamics" by
C. Canuto et. al., part of the Springer Series in Computational Physics,
published by Springer-Verlag ISBN 3-540-17371-4.  It has a nice section on
handling the convolution problem.

Hope that helps.

Sincerely,

Paul Ney
IGPP
University of California, Riverside
pney@igpp1133.ucr.edu

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From: Paul Ney <pney@worldnet.att.net>
Subject: Re: Spectral Methods for the computation of the Helmholtz equation  ininhomogeneous medium
Date: 1999/07/06
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