%0 Journal Article
%T A SCHWARZ ALTERNATING METHOD AND ITS CONVERGENCE AND ERROR ESTIMATE FOR ANISOTROPIC ELLIPTIC EXTERIOR PROBLEMS<br>各向异性外问题的Schwarz 交替法及其收敛性和误差估计
%A Zheng Quan Bai Rongxia Dong Junyu
%A <br>郑权
%A 白荣霞
%A 董俊雨
%J 计算数学
%D 2009
%I 
%X We investigate a Schwarz alternating method based on the natural boundary reduction on the elliptic boundary for the anisotropic elliptic PDEs with constant coefficients in unbounded domains.We prove its geometric iterative convergence with maximum norm in the continuous case by using the maximum principle,and obtain an optimal iteration contract factor,which is independent of the anisotropic degree,by using Fourier analysis with confocal elliptic boundaries.We also prove its geometric convergence in the di...
%K Schwarz alternating method
%K unbounded domain
%K anisotropic elliptic boundary value problem
%K natural boundary reduction
%K error estimate<br>Schwarz交替法
%K 无界区域
%K 各向异性问题
%K 自然边界归化
%K 误差估计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=784667D9CEA0220B383E11E58BF54015&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=CA4FD0336C81A37A&sid=8BD23BD67BF01A5C&eid=228A710F49B6CE58&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=19