CONVERGENCE ANALYSIS OF MORLEY ELEMENT ON ANISOTROPIC MESHES

作     者：Shi-peng Mao Shao-chun Chen 

作者机构：ICMSEC Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China Department of Mathematics Zhengzhou University Zhengzhou 450052 China 

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

年 卷 期：2006年第24卷第2期

页      面：169-180页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：国家自然科学基金 

主　　题：Anisotropic meshes Interpolation error Consistency error Morley element. 

摘      要：The main aim of this paper is to study tile convergence of a nonconforming triangular plate element-Morley element under anisotropic meshes. By a novel approach, an explicit bound for the interpolation error is derived for arbitrary triangular meshes （which even need not satisfy the maximal angle condition and the coordinate system condition ）, the optimal consistency error is obtained for a family of anisotropically graded finite element meshes.