Schwarz domain decomposition method for multidimensional and nonlinear parabolic equations: multidimensional subdomains with overlaps

Abstract

In this article, the Schwarz domain decomposition iterative algorithm for a class of weakly coupled semilinear and multidimensional parabolic systems is investigated. The constructing approach for numerical solution, the detailed implementing procedure of the algorithm and the convergence are also proposed in this article.

Keywords:

• Schwarz domain decomposition
• parabolic equations
• overlapped domains

C.R.Categories:

• G1.0
• G 1.8