CONVERGENCE ANALYSIS FOR A NONCONFORMING MEMBRANE ELEMENT ON ANISOTROPIC MESHES

作     者：Dong-yang Shi Shao-chun Chen Ichiro Hagiwara 

作者机构：Department of Mathematics Zhengzhou University Zhengzhou 450052 China Tokyo Institute of Technology 2-12-1 Ohokayama Megro Tokyo 152-8552 Japan 

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

年 卷 期：2005年第23卷第4期

页      面：373-382页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：国家自然科学基金 国家留学基金 河南省高校杰出科研人才创新工程项目 河南省自然科学基金 

主　　题：Anisotropic mesh Nonconforming finite element Optimal estimate 

摘      要：Regular assumption of finite element meshes is a basic condition of most analysis of finite element approximations both for conventional conforming elements and nonconforming elements. The aim of this paper is to present a novel approach of dealing with the approximation of a four-degree nonconforming finite element for the second order elliptic problems on the anisotropic meshes. The optimal error estimates of energy norm and L^2-norm without the regular assumption or quasi-uniform assumption are obtained based on some new special features of this element discovered herein. Numerical results are given to demonstrate validity of our theoretical analysis.