%0 Journal Article
%T ON AN ESTIMATION OF THE CONVERGENCE RATE FOR THE GALERKIN METHOD<br>关于伽略金方法收敛阶的估计
%A 李荣华
%J 计算数学
%D 1980
%I 
%X Consider the linear operator equation Au=L_1u+L_2u=f, where the operator L_1 is V-elliptic(cf.3]) and L_1~(-1)L_2 is Compact in the Hilbert space V. A V-estimation of the Convergence rate for the Galerkin method is derived in the first part of this paper. This result includes the well-known theorem due to Mikhlin(1; §16]). In the second part the error estimation in H-norm(i.e. L~2-norm) under some conditions is investigated.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=41C3C766329E68AE112BC42276374E65&yid=E56875464B1C0EC1&vid=0B39A22176CE99FB&iid=CA4FD0336C81A37A&sid=F3583C8E78166B9E&eid=EA389574707BDED3&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=0