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Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate

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Abstract

The family of Falk-Neilan \(P_k\) finite elements, combined with the Argyris \(P_{k+1}\) finite elements, solves the Reissner-Mindlin plate equation quasi-optimally and locking-free, on triangular meshes. The method is truly conforming or consistent in the sense that no projection/reduction is introduced. Theoretical proof and numerical confirmation are presented.

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  1. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA

    Shangyou Zhang

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  1. Shangyou Zhang
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Zhang, S. Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate. Commun. Appl. Math. Comput. 5, 1697–1712 (2023). https://doi.org/10.1007/s42967-023-00266-w

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  • DOI: https://doi.org/10.1007/s42967-023-00266-w

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