区域分解并行有限元计算方法研究  

Study on Parallel Finite Element Method Based on Domain Decomposed Method

作　　者：茹忠亮[1] 叶亚齐[1] 赵洪波[1] 

机构地区：[1]河南理工大学土木工程学院,河南焦作454003

出　　处：《河南理工大学学报（自然科学版）》2007年第2期198-201,共4页Journal of Henan Polytechnic University（Natural Science）

基　　金：河南省自然科学基金资助项目(0611010600);河南理工大学博士基金资助项目(648508)

摘　　要：按照区域分解算法“分而治之”的思想,研究了在普通PC机群上实现大规模并行有限元计算的方法.针对PC机群的特点,有限元计算数据采用分布式存储策略,方程组的求解采用并行预处理共轭梯度算法.采用C++语言及MPI消息传递接口开发了基于PC机群的并行有限元计算程序,利用6台计算机对247871个单元的有限元模型进行了并行求解,并行加速比达到5.26.验证了程序的可靠性和高效性.According to domain decomposed method and its ＇Divide and conquer＇ strategy, a PC cluster on Windows operating system was built up, and the implement of large-scale parallel FEM was investigated on it. The FEM data is stored through distributed form, and FEM equations are solved by using the parallel preconditioned conjugate gradient method. A parallel FEM program on PC cluster was developed by using C ＋and MPI, and then a 3D FEM model with 247 871elements has been analysis by the program. Its parallel speeding-up was 5.32 with 6 CPUs. The results show that the parallel algorithm is robust and high efficient in PC cluster environment.

关 键 词：区域分解 并行有限元 计算方法 PC机群 

分 类 号：TB115[理学—数学]