TWO-SCALE CURVED ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

作     者：Jin-ru Chen Jun-zhi Cui 

作者机构：School of Mathematics and Computer SciencesNanjing Normal UniversityNanjing 210097China LSECICMSECAcademy of Mathematics and System SciencesChinese Academy of SciencesBeijing 100080China 

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

年 卷 期：2002年第20卷第4期

页      面：381-390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：The research was supported by the National Natural Science Foundation of China under grants 19901014 and 19932030 the Special Funds for Major State Basic Research Projects 

主　　题：two-scale curred element small periodic coefficients 

摘      要：This paper is concerned with the second order elliptic problems with small periodic coefficients on a bounded domain with a curved boundary. A two-scale curved element method which couples linear elements and isoparametric elements is proposed. The error estimate is obtained over the given smooth domain. Furthermore an additive Schwarz method is provided for the isoparametric element method.