摘要
近几年来,由于并行计算机的迅速发展,求解椭圆型微分方程的区城分解法又引起了人们的重视.这一方法的基本思想是把求解区域分解成许多子区域,每个子区域上用一台计算机求解.这种方法适应并行机的需要。
In this paper the author presents a non-conforming domain decomposition technique forsolving elliptic problems with the finite element method. Functions in a finite element space as-sociated with this method may be discontinuous on the boundary of subdomains. The sizes ofthe finite element meshes, the kinds of elements and the kinds of interpolation function maybe different in different subdomains. So this method is more conve?ent and more efficientthan the conforming domain decomposition method. The hybrid method is adopted to dealwith the boundary between subdomains and the solution obtained by this method has the sameconvergence rate as the conforming method, and both the condition number and the order ofthe capacitance matrix are much lower than in the conforming case.
出处
《计算数学》
CSCD
北大核心
1989年第3期323-332,共10页
Mathematica Numerica Sinica
