%0 Journal Article
%T LIONS FORMWORK FOR SCHWARS ALGORITHM AND THE CONVERGENCE FOR THE ASYNCHRONOUS PARALLEL ALGORITHM<br>Schwarz 算法的 Lions 框架与异步并行算法的收敛性证明
%A LU TIO
%A <br>吕涛
%J 系统科学与数学
%D 1989
%I 
%X In this paper,we consider the Schwarz algorithm for the Dirichlet problem of the secondorder linear elliptic equation.The convergence of the Schwars algorithm with m overlappingsubbdomains is shown by using the Lions formwork and the Von Neumann theorem.Moreover,we give a convergence proof for an asynchronous parallel algorithm advanced by Kang Li-Shan.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=77C3574BEE26F97B33933DAFAF716B02&yid=1833A6AA51F779C1&vid=9CF7A0430CBB2DFD&iid=0B39A22176CE99FB&sid=1F199509C0B6C4D6&eid=7C72DBC13F2D71EC&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=2&reference_num=0