Communications in Mathematical Sciences

Volume 2 (2004)

Number 3

Domain decomposition algorithm for the parabolic equation with variable coefficient

Pages: 391 – 402

DOI: http://dx.doi.org/10.4310/CMS.2004.v2.n3.a3

Authors

Xia Cui

Xingping Liu

Zhiqiang Sheng

Abstract

In this paper, we design a domain decomposition algorithm for the two-dimensional parabolic equation with variable coefficient by using a larger spacing at interface points and the implicit scheme at the interior points, hence get an algorithm with the relaxed stability bounds. Then we prove the stability and analyze the accuracy of the algorithm by using the idea of maximum principle. Some results of numerical experiments are also provided.

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