Volume 20, Issue 6
Absolute Stable Homotopy Finite Element Methods for Circular Arch Problem and Asymptotic Exactness Posteriori Error Estimate

Min Fu Feng, Ping Bing Ming & Rong Kui Yang

DOI:

J. Comp. Math., 20 (2002), pp. 653-672

Published online: 2002-12

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  • Abstract

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 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.

  • Keywords

HFEM arch superconvcrgence asymptotic exactness posteriori error estimator

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@Article{JCM-20-653, author = {}, title = {Absolute Stable Homotopy Finite Element Methods for Circular Arch Problem and Asymptotic Exactness Posteriori Error Estimate}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {6}, pages = {653--672}, abstract = { 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 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8950.html} }
TY - JOUR T1 - Absolute Stable Homotopy Finite Element Methods for Circular Arch Problem and Asymptotic Exactness Posteriori Error Estimate JO - Journal of Computational Mathematics VL - 6 SP - 653 EP - 672 PY - 2002 DA - 2002/12 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8950.html KW - HFEM KW - arch KW - superconvcrgence KW - asymptotic exactness KW - posteriori error estimator AB - 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 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.
Min Fu Feng, Ping Bing Ming & Rong Kui Yang. (1970). Absolute Stable Homotopy Finite Element Methods for Circular Arch Problem and Asymptotic Exactness Posteriori Error Estimate. Journal of Computational Mathematics. 20 (6). 653-672. doi:
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