Schwarz waveform relaxation methods for parabolic equations in space-frequency domain

Authors:
Yao-Lin Jiang;Hui Zhang
Affiliations:
Department of Mathematical Sciences, School of Science, Xi'an Jiaotong University, Xi'an 710049, China;Department of Mathematical Sciences, School of Science, Xi'an Jiaotong University, Xi'an 710049, China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

Some Schwarz waveform relaxation algorithms based on frequency domain analysis for parabolic equations are proposed and analyzed. In this paper we mainly study an overlapping process with Dirichlet transmission conditions and a non-overlapping process with Robin transmission conditions. The convergence conditions for these algorithms are also obtained by our frequency domain analysis. Numerical experiments are given to illustrate effectiveness of the algorithms.