Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1401-m3837
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 205–214
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Elasticity Supercloseness Global superconvergence.
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