摘要
基于交替迭代思想,本文提出了一种凹形半无界区域上双调和方程的区域分解算法,分析了其收敛性。该算法将求解域分为有界子域与标准的半平面,根据自然边界归化理论,在有界区域内用有限元方法求解,在半平面内用边界元法求解,使得有限元与边界元分别在有界子域与半平面上交替进行。
Based on alternating process,this paper presents a kind of domain decomposition method of bi-harmonic equation over the unbounded half plane with a cave.And the convergence of the method is analyzed.It divides the domain into two parts,the one is bounded,while the other is a half plane.According to the natural boundary reduction theory,the finite element method and the boundary element one can be used respectively on them in an alternating way.
出处
《安庆师范学院学报（自然科学版）》
2010年第4期31-33,共3页
Journal of Anqing Teachers College(Natural Science Edition)
关键词
边值问题
区域分解
无界区域
boundary value problem
domain decomposition
unbounded domain
