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

Dongyang Shi & Minghao Li

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 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 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 KW - Supercloseness KW - Global superconvergence AB -

In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An 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 & Minghao Li. (1970). 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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