摘要
本文以凹角椭圆外区域上调和问题的自然边界归化为基础,提出了求解无穷凹角区域各向异性问题的非重叠型区域分解算法,并分析了算法的收敛性及松弛因子的选取.最后给出了数值例子,以示方法的可行性和有效性.
In this paper, we investigate an non-overlapping domain decomposition method based on the natural boundary reduction on elliptical arc artificial boundary is presented for an anisotropic problem in an infinite domain with a concave angle. The convergence of the method is given. The choice of the relaxition factor is discussed. Finally, some numerical examples are presented to show effectiveness of our method.
出处
《应用数学学报》
CSCD
北大核心
2014年第5期912-925,共14页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(11371198)资助项目
关键词
无穷凹角区域
各向异性问题
自然边界归化
区域分解算法
infinite domain with a concave angle
anisotropic problem
natural boundary reduction
domain decomposition method
