%0 Journal Article
%T SUPERCLOSE ANALYSIS OF BICUBIC   HERMITE  ELEMENT  ON ANISOTROPIC MESHES<br>各向异性网格下的双三次Hermite元的超逼近分析
%A Shi Dongyang
%A <br>石东洋谢萍丽于志云
%J 计算数学
%D 2008
%I 
%X The bicubic Hermite finite element is applied to fourth order biharmonic problem on anisotropic meshes,and the same convergence and superclose behavior as that of on the con- ventional regular subdivision are obtained through some new ideas and techniques.Moreover, the corresponding numerical examples are given to verify our theoretical analysis.The re- sults show that the regularity condition is not necessary to the conventional finite element analysis,thus they are helpful to further develop the self-adaptive algorithm and posterior estimates.
%K biharmonic equation
%K bicubic Hermite
%K anisotropic mesh
%K supercloseness<br>重调和方程
%K 双三次Hermite元
%K 各向异性网格
%K 超逼近
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=311E2980A0E0B73780EDF3C48F75707E&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=E158A972A605785F&sid=5FF9F4F7CB1800C7&eid=375BEEEA164CFE59&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=23