ABSOLUTE STABLE HOMOTOPY FINITE ELEMENT METHODS FOR CIRCULAR ARCH PROBLEM AND ASYMPTOTIC EXACTNESS POSTERIORI ERROR ESTIMATE

查看全文 作　　者：Feng, [1]MF;Ming, [1]PB;Yang, [1]RK

机构地区：[1]Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

出　　处：《Journal of Computational Mathematics》索引2002年第20卷第6期,共20页

摘　　要：In this paper, HFEM is proposed to investigate the circular arch problem. Optimal error estimates are derived, some superconvergence results are established, and an asymptotic exactness posteriori error estimator is presented. In contrast with the classical displacement variational method, the optimal convergence rate for displacement is uniform to the small parameter. In contrast with classical mixed finite element methods, our results are free of the strict restriction on h(the mesh size) which is preserved by all the previous papers. Furtheremore we introduce an asymptotic exactness posteriori error estimator based on a global superconvergence result which is discovered in this kind of problem for the first time. 关键词：HFEM arch superconvcrgence ASYMPTOTIC EXACTNESS POSTERIORI error estima- tor

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ABSOLUTE STABLE HOMOTOPY FINITE ELEMENT METHODS FOR CIRCULAR ARCH PROBLEM AND ASYMPTOTIC EXACTNESS POSTERIORI ERROR ESTIMATE

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