SOME n-RECTANGLE NONCONFORMING ELEMENTS FOR FOURTH ORDER ELLIPTIC EQUATIONS  

作　　者：Ming Wang Zhong-Ci Shi Jinchao Xu 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University, Beijing 100080, China [2]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China [3]School of Mathematical Sciences, Peking University, Beijing 100080, China and Department of Mathematics, Pennsylvania State University, USA

出　　处：《Journal of Computational Mathematics》2007年第4期408-420,共13页计算数学（英文）

基　　金：The work of the first author was supported by the National Natural Science Fbundation of china(10571006);The work of the shird author was supperted by the Changjiang Professorship of the Ministry of Education of China through Peking University

摘　　要：In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions.In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions.

关 键 词：Nonconforming finite element Forth order elliptic equation Biharmonic. 

分 类 号：O175.25[理学—数学]