%0 Journal Article %T On the Convergence Factor of the Schwarz Alternating Method
关于Schwarz交替法的收敛因子 %A 张胜 %A 张林波 %J 计算数学 %D 1992 %I %X Theoretical analysis for model problems and numerical experiments show that when sub-domains are fixed, the convergence factor of the Schwarz alternating method for discretized pro-blems is independent of the discretization step, and we prove this property under some assump-tions. We also give expression of the convergence factor of the Schwarz alternating method inwhich the subdomain problems are solved approximatively by iterative methods and use it to dis-cuss the optimal number of iterations on the subdomain problems. %K Schwarz交替 %K 收敛因子 %K 椭圆型方程 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=8245835F43D622EEC4AFBC0C51734253&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=38B194292C032A66&sid=5A6705FDACED0BF9&eid=A04F01817ECB9A48&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0