APPROXIMATION OF THE WAVE AND ELECTROMAGNETIC DIFFUSION-EQUATIONS BY SPECTRAL METHODS

Authors
BENBELGACEM F GRUNDMANN M
Citation
F. Benbelgacem et M. Grundmann, APPROXIMATION OF THE WAVE AND ELECTROMAGNETIC DIFFUSION-EQUATIONS BY SPECTRAL METHODS, SIAM journal on scientific computing (Print), 20(1), 1999, pp. 13-32
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on scientific computing (Print) → ACNP
ISSN journal
10648275
Volume
20
Issue
1
Year of publication
1999
Pages
13 - 32
Database
ISI
SICI code
1064-8275(1999)20:1<13:AOTWAE>2.0.ZU;2-H
Abstract
The aim of this paper is to describe a variational spectral solver of the three-dimensional operator (I + curl curl) which we often encounte r when dealing with the Maxwell problem. We carry out a mathematical s tudy proving the optimality of such an algorithm and we make an analys is of its complexity showing its efficiency. Finally, some application s to time-dependent partial differential equations obtained from the M axwell model are presented.