Year: 2022
Author: Xiaoqin Shen, Yongjie Xue, Qian Yang, Shengfeng Zhu
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 2 : pp. 365–385
Abstract
In this paper, we propose a conforming finite element method coupling penalty method for the linearly elastic flexural shell to overcome computational difficulties. We start with discretizing the displacement variable, i.e., the two tangent components of the displacement are discretized by using conforming finite elements (linear element), and the normal component of the displacement is discretized by using conforming Hsieh-Clough-Tocher element (HCT element). Then, the existence, uniqueness, stability, convergence and a priori error estimate of the corresponding analyses are proven and analyzed. Finally, we present numerical experiments with a portion of the conical shell and a portion of the cylindrical shell to verify theoretical convergence results and demonstrate the effectiveness of the numerical scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2020-0304
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 2 : pp. 365–385
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Flexural shell conforming finite element method penalty method conical shell cylindrical shell.
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