无穷凹角区域各向异性问题的重叠型区域分解算法  

An Overlapping Domain Decomposition Method for an Anisotropic Problem in an Infinite Domain with a Concave Angle

作　　者：陈亚军[1] 杜其奎[2] 

机构地区：[1]上海海事大学高等技术学院,上海200136 [2]南京师范大学数学科学学院,南京210046

出　　处：《应用数学学报》2012年第6期1030-1043,共14页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10871100);上海高校选拔培养优秀青年教师科研专项基金(shs10098)资助项目

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重叠型区域分解算法,并分析了算法的收敛性及收敛速度.最后给出了数值例子,以示方法的可行性和有效性.In this paper, an 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 this algorithm is given. The convergence rate is analysised in details for a typical domain. Finally, some numerical examples are presented to show effectiveness of our method.

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 

分 类 号：O242.21[理学—计算数学]