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Volume 32, Issue 2
Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem

Dongyang Shi & Minghao Li

DOI: 10.4208/jcm.1401-m3837

J. Comp. Math., 32 (2014), pp. 205-214.

Published online: 2014-04

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  • Abstract

In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An $\mathcal{O}(h^2)$ order superclose property for the stress and displacement and a global superconvergence result of the displacement are established by employing a Clément interpolation, an integral identity and appropriate postprocessing techniques.

  • Keywords

Elasticity, Supercloseness, Global superconvergence.

  • AMS Subject Headings

65N15, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-32-205, author = {Dongyang Shi and Minghao Li}, title = {Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {2}, pages = {205--214}, abstract = {

In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An $\mathcal{O}(h^2)$ order superclose property for the stress and displacement and a global superconvergence result of the displacement are established by employing a Clément interpolation, an integral identity and appropriate postprocessing techniques.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1401-m3837}, url = {http://global-sci.org/intro/article_detail/jcm/9879.html} }
TY - JOUR T1 - Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem AU - Dongyang Shi & Minghao Li JO - Journal of Computational Mathematics VL - 2 SP - 205 EP - 214 PY - 2014 DA - 2014/04 SN - 32 DO - http://doi.org/10.4208/jcm.1401-m3837 UR - https://global-sci.org/intro/article_detail/jcm/9879.html KW - Elasticity, Supercloseness, Global superconvergence. AB -

In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An $\mathcal{O}(h^2)$ order superclose property for the stress and displacement and a global superconvergence result of the displacement are established by employing a Clément interpolation, an integral identity and appropriate postprocessing techniques.

Dongyang Shi and Minghao Li. (2014). Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem. Journal of Computational Mathematics. 32 (2). 205-214. doi:10.4208/jcm.1401-m3837
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