Communications in Mathematical Sciences

Domain decomposition algorithm for the parabolic equation with variable coefficient

Xia Cui, Xingping Liu, and 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.

Article information

Source
Commun. Math. Sci., Volume 2, Number 3 (2004), 391-402.

Dates
First available in Project Euclid: 3 March 2005

Permanent link to this document
https://projecteuclid.org/euclid.cms/1109868727

Mathematical Reviews number (MathSciNet)
MR2118850

Zentralblatt MATH identifier
1082.65097

Citation

Sheng, Zhiqiang; Liu, Xingping; Cui, Xia. Domain decomposition algorithm for the parabolic equation with variable coefficient. Commun. Math. Sci. 2 (2004), no. 3, 391--402. https://projecteuclid.org/euclid.cms/1109868727


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