椭圆外区域各向异性问题基于人工边界条件的Schwarz交替算法  

A Schwarz alternating algorithm based on artificial boundary conditions for a kind of anisotropic problems in an exterior elliptic domain

作　　者：冯丹[1] 杜其奎 

机构地区：[1]南京师范大学数学科学学院,江苏南京210046 [2]江苏省大规模复杂系统数值模拟重点实验室,江苏南京210046

出　　处：《高校应用数学学报（A辑）》2011年第2期158-168,共11页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10871100)

摘　　要：研究一类二维各向异性外问题的重叠型区域分解.基于自然边界归化,对各向异性外问题提出了一种Schwarz交替算法,并给出其离散形式,分析了算法的收敛性.给出数值试验以示算法的可行性与有效性.In this paper,a numerical algorithm for a kind of anisotropic problem in an exte-rior domain is investigated.Based on natural boundary reduction,a artificial boundary condition is obtained,and a Schwarz alternating algorithm for an anisotropic problem in an exterior domain is suggested,and the convergence of algorithm is analyzed.Finally,some numerical tests are presented to demonstrate the performance of this method.

关 键 词：椭圆外区域 各向异性问题 Schwarz交替算法 收敛性 

分 类 号：O242.21[理学—计算数学]