摘要
In this paper, baized on the natural boudary reduction suggested by Feng and Yu, an overlapping domain decomposition method for biharmonic boundary value problems over unbounded domains is presented. By taking advantage of the map ping theory, the geometric convergence of the continuous problems is proved. The numerical examples show that the convergence rate of this Schwarz iteration is in dependent of the finite element mesh size basicly, but dependent on the frequency of the real solution and the overlapping degree of subdomains.
In this paper, baized on the natural boudary reduction suggested by Feng and Yu, an overlapping domain decomposition method for biharmonic boundary value problems over unbounded domains is presented. By taking advantage of the map ping theory, the geometric convergence of the continuous problems is proved. The numerical examples show that the convergence rate of this Schwarz iteration is in dependent of the finite element mesh size basicly, but dependent on the frequency of the real solution and the overlapping degree of subdomains.
出处
《计算数学》
CSCD
北大核心
1997年第4期438-448,共11页
Mathematica Numerica Sinica
基金
国家自然科学基金
