%0 Journal Article %T THE NON-CONFORMING DOMAIN DECOMPOSITION METHOD FOR ELLIPTIC PROBLEMS WITH LAGRANGIAN MULTIPLIERS
非协调区域分解的Lagrangian乘子法 %A 梁国平 %A 何江衡 %J 计算数学 %D 1992 %I %X In this paper a new non-conforming domain decomposition rechnique is presented forsolving the second-order symmetric elliptic boundary ralue problems with finite element me-thods. The basic idea is to introduce the Lagrangian multipliers to deal with the non-confor-mity of the interfaces between the subdomains. The resulting algorithms are very well suited toparallel computing environment. It is shown that in a rather general situation the convergencerate of the non-conforming technique is the same as in the conforming case. The conditionnumber of the algebraic system arising from the proposed technique is given. %K 区域分解法 %K 椭圆型方程 %K 非协调 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=ACD5C30B4CFFBA2556D7B504170B441F&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=0B39A22176CE99FB&sid=334E2BB8B9A55ABB&eid=1B64850025D0BBBE&journal_id=0254-7791&journal_name=计算数学&referenced_num=4&reference_num=2