摘要
In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked domain is discussed. The numerical examples show that this discrete Schwarz iteration is geometric convergent.And the convergence rate of this method is independent of the finite element mesh size,but dependent on the frequency of the exact solution and the overlaPping degree of thesubdomains.
In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked domain is discussed. The numerical examples show that this discrete Schwarz iteration is geometric convergent.And the convergence rate of this method is independent of the finite element mesh size,but dependent on the frequency of the exact solution and the overlaPping degree of thesubdomains.
出处
《数值计算与计算机应用》
CSCD
北大核心
1998年第1期64-73,共10页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金
