On the Parallelization of a New Three Dimensional Hyperbolic Group Solver by Domain Decomposition Strategy

In this paper, the parallel implementation of a new explicit group iterative scheme is proposed for the solution of a three dimensional second order telegraph partial differential equation. The explicit group (EG) method is derived from the standard centered seven-point finite difference discretisation formula. We utilize the domain decomposition technique on this group scheme to divide the tasks involved in solving the equation. The aim of this study is to describe the development of the parallel group iterative scheme under OpenMP programming environment as a way to reduce the computational costs of the solution processes using multiple-core technologies. Numerical experiments are conducted together with their detailed performance analysis. The results will be reported and discussed.