Superconvergence analysis of the stable conforming rectangular mixed finite elements for the linear elasticity problem

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Abstract

In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An Οh2) order superclose property for the stress and displacement and a global superconvergence result of the displacement are established by employing a Clement interpolation, an integral identity and appropriate postprocessing techniques. Copyright 2014 by AMSS, Chinese Academy of Sciences.

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Shi, D., & Li, M. (2014). Superconvergence analysis of the stable conforming rectangular mixed finite elements for the linear elasticity problem. Journal of Computational Mathematics, 32(2), 205–214. https://doi.org/10.4208/jcm.1401-m3837

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