Conforming finite element methods for two-dimensional linearly elastic shallow shell and clamped plate models

Rongfang Wu, Xiaoqin Shen and Jikun Zhao

Applied Mathematics and Computation, 2022, vol. 430, issue C

Abstract: For the two-dimensional (2D) linearly elastic shallow shell and clamped plate models, we have provided the nonconforming finite element methods (FEMs) in a previous study. However, the conforming FEMs for above models have not been given. This is what we aim to do in this paper, namely proposing a conforming FEM for shallow shell and clamped plate models. Specifically, we approximate the first two displacement components by conforming linear element, and the third displacement component by conforming Hsieh-Clough-Tocher element. Furthermore, we rigorously deduce the convergent theorem independent of mesh steps. Finally, we confirm the theoretical results with some numerical experiments.

Keywords: Shallow shell; Clamped plate; Conforming finite element; Convergence (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:430:y:2022:i:c:s0096300322003332

DOI: 10.1016/j.amc.2022.127259

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