Distributed Geometric Multigrid Method: Analysis of a V Cycle Truncation Level Criteria

Abstract

This article presents the analysis of a V cycle truncation level criteria in a parallel implemention of a geometric multigrid method for solving partial differential equations, developed over a distributed memory system. The proposed system is implemented in C, using the Message Passing Interface library. A theoretical analysis of the proposed truncation level criteria is presented, and its evaluation is reported for the Poisson problem. The experimental analysis indicates that the proposed method achieves accurate speedup and computational efficiency, and shows a good scalability behavior to solve large problems by properly using more processing units.