一种无界区域上椭圆边值问题的重叠区域分解算法

Overlapping Domain Decomposition Algorithm for Boundary Value Problems of Elliptic Equation with a Kind of Infinite Domain

主要研究了一种扇形无界区域上椭圆边值问题,采用重叠区域分解算法.并分析了该算法的收敛性和收敛速度,最后对其进行了有限元处理.该算法对处理此种区域是有效的.

In this paper, the overlapping domain decomposition algorithm for elliptic boundary value problems with a kind of infinite domain was investigated. The convergence and the convergence rate of this method were also analyzed and simulated with the finite element method.