A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS

作     者：Boran Gao Shuo Zhang Ming Wang 

作者机构：School of Mathematical Sciences Peking University Beijing 100871 China ICMSEC AMSS Chinese Academy of Science Beijing 100190 PR China LMAM School of Mathematical Sciences Peking University Beijing 100871 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2011年第29卷第2期

页      面：215-226页

核心收录：

学科分类：07[理学] 080202[工学-机械电子工程] 08[工学] 0804[工学-仪器科学与技术] 070102[理学-计算数学] 0802[工学-机械工程] 0701[理学-数学] 

基　　金：The work was supported by the National Natural Science Foundation of China (10871011) 

主　　题：Nonconforming finite element Elliptic boundary value problem Plate bending problem. 

摘      要：In this paper, a class of rectangular finite elements for 2m-th-oder elliptic boundary value problems in n-dimension （m, n ≥1） is proposed in a canonical fashion, which includes the （2m - 1）-th Hermite interpolation element （n = 1）, the n-linear finite element （m = 1） and the Adini element （m = 2）. A nonconforming triangular finite element for the plate bending problem, with convergent order （O（h2）, is also proposed.