基于MPI的二维泊松方程差分并行实现与测试  

A simple parallel implementation of two-dimensional poisson equation and test of difference

作　　者：苑野[1] 杨东华[1] 

机构地区：[1]哈尔滨工业大学基础与交叉科学研究院,哈尔滨150080

出　　处：《哈尔滨商业大学学报（自然科学版）》2011年第6期854-856,861,共4页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金项目(60903016);黑龙江省自然科学基金项目(F201031)

摘　　要：消息传递是一种广泛应用于集群环境下的并行编程模型.针对简单二维Poisson方程的第一边值问题的典型差分格式,在MPI并行环境下,使用五点差分离散和雅可比迭代法实现了此类方程的并行求解.实际测试表明此类方程在一定问题规模下,其并行算法具有很好的加速比和并行效率.Message-passing is a widely used cluster environment for parallel programming model.With a simple two-dimensional poisson equation for the first boundary value problem of the typical difference scheme,this paper used five-point difference discretization and the implementation of the Jacobi iterative method for solving such equations in MPI parallel environment.Actual tests showed that such equations in a certain scale of the problem,the parallel algorithm of it had good speedup and parallel efficiency.

关 键 词：POISSON方程 消息传递接口 有限差分 加速比 并行效率 

分 类 号：TP319[自动化与计算机技术—计算机软件与理论]