Superconvergence of the finite element method for the Stokes eigenvalue problem

Ying Sheng, Tie Zhang and Zixing Pan

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: In this paper we consider the stable P1 – P1 finite element pair solving the Stokes eigenvalue problem and derive some superconvergence results based on the interpolation post-processing technique. Firstly, we derive the superclose property of the interpolation function. Then a superconvergence result of O(h3/2)-order for the pressure approximation and the velocity gradient approximation under the condition of strong regular mesh triangulation are obtained. Finally, the superconvergence rate of O(h3)-order is proved for the eigenvalue approximation and the numerical experiment is provided to confirm the theoretical analysis.

Keywords: P1 - P1 Finite element pair; Superconvergence; A post-processing technique; Stokes eigenvalue problem (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s096007792100059x

DOI: 10.1016/j.chaos.2021.110706

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