Parallel finite element algorithm based on full domain partition for stationary Stokes equations  

作　　者：尚月强 何银年 

机构地区：[1]School of Mathematics and Computer Science,Guizhou Normal University [2]Faculty of Science,Xi'an Jiaotong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第5期643-650,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10971166);the National Basic Research Program (No.2005CB321703);the Science and Technology Foundation of Guizhou Province of China (No.[2008]2123)

摘　　要：Based on the full domain partition, a parallel finite element algorithm for the stationary Stokes equations is proposed and analyzed. In this algorithm, each subproblem is defined in the entire domain. Majority of the degrees of freedom are associated with the relevant subdomain. Therefore, it can be solved in parallel with other subproblems using an existing sequential solver without extensive recoding. This allows the algorithm to be implemented easily with low communication costs. Numerical results are given showing the high efficiency of the parallel algorithm.Based on the full domain partition, a parallel finite element algorithm for the stationary Stokes equations is proposed and analyzed. In this algorithm, each subproblem is defined in the entire domain. Majority of the degrees of freedom are associated with the relevant subdomain. Therefore, it can be solved in parallel with other subproblems using an existing sequential solver without extensive recoding. This allows the algorithm to be implemented easily with low communication costs. Numerical results are given showing the high efficiency of the parallel algorithm.

关 键 词：Stokes equations finite element parallel algorithm full domain partition 

分 类 号：O241.82[理学—计算数学]