定常Stokes方程一种基于完全区域分解的有限元并行算法  

A Parallel Finite Element Algorithm Based on Full Domain Partition for the Stationary Stokes Equations

作　　者：尚月强[1] 何银年[2] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵阳550001 [2]西安交通大学理学院,西安710049

出　　处：《应用数学和力学》2010年第5期609-617,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10971166);国家基础研究基金资助项目(2005CB321703);贵州省科学技术基金资助项目(2008(2123))

摘　　要：基于完全区域分解技巧,提出了一种求解定常Stokes方程的有限元并行算法.该算法中,所有子问题都是定义在整个求解区域上,但绝大部分自由度来自其所负责的子区域,从而使得算法稍加修改现有的串行程序即可实现相应的并行计算,实现简单,通信需求少.数值结果验证了算法的高效性.Based on full domain partition,a parallel finite element algorithm for the stationary Stokes equations was proposed and analyzed.In this algorithm,each subproblem was defined in the entire domain with the vast majority of the degrees of freedom associated with the particular subdomain that it was responsible for,and hence could be solved in parallel with other subproblems using an existing sequential solver without extensive recoding,allowing the algorithm to be implemented easily with low communication costs.Some numerical results are given which demonstrate the high efficiency of the parallel algorithm.

关 键 词：STOKES方程 有限元方法 并行算法 完全区域分解 

分 类 号：O246[理学—计算数学] O242.21[理学—数学]