The fractional step domain decomposition method for numerical solution of a class of viscous wave equations

In this article, an efficient fractional steps domain decomposition method (FSDDM) is derived for parallel numerical solution of a class of viscous wave equations. In this procedure, the large domain is divided into multiple block sub-domains. The values on the interfaces of sub-domains are found by an efficient local multilevel scheme, implicit scheme is used for computing the interior values in sub-domains. Some techniques, such as non-overlapping domain decomposition, fractional steps and extrapolation algorithm are adopted. Numerical experiments are performed to demonstrate the efficiency and accuracy of the method.