UNIFORMLY A POSTERIORI ERROR ESTIMATE FOR THE FINITE ELEMENT METHOD TO A MODEL PARAMETER DEPENDENT PROBLEM

作     者：Yiran Zhang Jun Hu 

作者机构：LMAM and 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：2008年第26卷第5期

页      面：716-727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）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：the fortieth postdoctoral foundation of China the NSFC under Grant 10601003 the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry A Foundation for the Author of National Excellent Doctoral Dissertation of PRC 200718 

主　　题：The beam problem A posteriori error estimator Finite element method. 

摘      要：This paper proposes a reliable and efficient a posteriori error estimator for the finite element methods for the beam problem. It is proved that the error can be bounded by the computable error estimator from above and below up to multiplicative constants that do neither depend on the meshsize nor on the thickness of the beam.