I. INTRODUCTIONParallel computing has greatly motivated the research works on the parallel design and analysis of the 3-DTEL in parallel cluster system. Cluster applications have more processor cores to manage and exploit the computational capacity of high-end machines providing effective and efficient means of parallelism even as the challenges of providing effective resources management grows. It is a known fact that high capacity computing platform are expensive, and are characterized by long-running, high processor-count jobs. The performance of message-passing programs depends on the parallel target machine, and the parallel programming model to be applied to achieve parallelism. In a cluster machines having large number of processing units' scalability becomes an important issue. Many programs from scientific computing have a large potential for parallelism that is exploited best in such a programming model for mixed fast and data parallelism where the parallelism can be structured in the form of concurrent multi-processor tasks [21].

No abstract

This paper describes a 1-D Active Thermal Control Problem (1-D ATCP) using parallel domain decomposition with parallel communication approach of Message Passing Interface (MPI) on Stationary Iterative Techniques (Jacobi and Gauss-Seidel. The discretization of the resulted matrices from the 1-D ATCP shows the ease of parallel implementation across the different domain of block sizes. The Single Program Multiple Data (SPMD) techniques was used to describe the parallelization of the method. We implemented the parallelization on Geo Cluster having to exploit inherent parallelism. Hence, the parallelization strategies are discussed, and results of the parallel experiments are presented with the speedup and efficiency on different block sizes agree with the theoretical analysis.