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Overlapping Schwarz waveform relaxation method for the solution of the convection–diffusion equation

✍ Scribed by Daoud S. Daoud

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
253 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this article we study the convergence of the overlapping Schwarz wave form relaxation method for solving the convection–diffusion equation over multi‐overlapped subdomains. It is shown that the method converges linearly and superlinearly over long and short time intervals, and the convergence depends on the size of the overlap. Numerical results are presented from solving specific types of model problems to demonstrate the convergence and the role of the size of the overlap. Copyright © 2007 John Wiley & Sons, Ltd.

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