求解椭圆型问题的一种基于区域分解的预处理器的构造  

A PRECONDITIONER FOR ELLIPTIC PROBLEMS BASED ON DOMAIN DECOMPOSITION

作　　者：储德林[1] 胡显承[1] 

机构地区：[1]清华大学

出　　处：《高等学校计算数学学报》1992年第4期363-371,共9页Numerical Mathematics A Journal of Chinese Universities

摘　　要：近年来,求解偏微方程的区域分解方法已引起了人们极大的兴趣,并取得了丰硕的成果。由于并行计算机的出现,使得人们能够处理大规模的工程实际问题,在此背景下,区域分解方法很自然地成为数值计算的一个十分活跃的分支,具体情况参见[1,7]。In this paper, the construction of preconditioner for solving elbptic equation is discussed. And a class of preconditioner is constructed based on the method of Domain Decomposition. It is proved that the condition number of preconditioned system is proportional to O(H/h), where H is the diameter of subdomains and h is the finite element parameter. The preconditioner given in this paper is suitable to parallel computing.

关 键 词：椭圆型方程 区域分解 预处理器 

分 类 号：O241.82[理学—计算数学]