Journal
APPLIED NUMERICAL MATHEMATICS
Volume 52, Issue 4, Pages 401-428Publisher
ELSEVIER
DOI: 10.1016/j.apnum.2004.08.022
Keywords
domain decomposition methods; Schwarz waveform relaxation algorithm; convection diffusion equation
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We are interested in solving time dependent problems using domain decomposition methods. In the classical approach, one discretizes first the time dimension and then one solves a sequence of steady problems by a domain decomposition method. In this paper, we treat directly the time dependent problem and we study a Schwarz waveform relaxation algorithm for the convection diffusion equation in two dimensions. We introduce the operators on the interfaces which minimize the convergence rate, resulting in an efficient method: numerical results illustrate the performances and show that the corresponding algorithms converge much faster than the classical one. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
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