Abstract:
The paper deals with a noniterative overlapping domain decomposition methods for solving multidimensional parabolic problems. The structure of the method is similar to that of a component-by-component splitting scheme using smooth unit partitioning. The method itself has been known for a long time, but a number of important technical details related to the design of partitioning a domain into subdomains that provides smooth unit partitioning have not been published previously. In this paper, these details are given as a set of provable assertions. A process for obtaining an error estimate is described, the details of which have also not been previously published.
