Year: 2021
Author: Xiaoqin Shen, Qian Yang, Lin Bai, Kaitai Li
Communications in Computational Physics, Vol. 29 (2021), Iss. 1 : pp. 186–210
Abstract
In this study, the dynamics of elliptic membrane shell model has been proposed and discussed numerically for the first time. Firstly, we show that the solution of this model exists and is unique. Secondly, we consider spatial and time discretizations of the time-dependent elliptic membrane shell by finite element method and Newmark scheme, respectively. Then, the corresponding existence, uniqueness, stability, convergence and a priori error estimate are given. Finally, we present numerical results involving a portion of an ellipsoidal shell and a portion of a spherical shell to verify the efficiency and convergence of the numerical scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0215
Communications in Computational Physics, Vol. 29 (2021), Iss. 1 : pp. 186–210
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Elliptic membrane shell finite element method full discretization ellipsoidal shell spherical shell.
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