Year: 2024
Author: Zhixin Liu, Minghui Song, Shicang Song
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 3 : pp. 715–737
Abstract
In this paper, we present an application of the isoparametric finite element for the Reissner-Mindlin plate problem on bounded domain with curved boundary. The discrete scheme is established by isoparametric quadratic triangular finite element combined with a numerical quadrature. Under the certain numerical quadrature, we prove the existence and uniqueness of the numerical solutions and the error estimates of optimal order in $H^1$-norm are given in details with the help of rigorous analysis. Finally, a numerical example is provided to verify the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0206
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 3 : pp. 715–737
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Reissner-Mindlin plate problem isoparametric finite element numerical quadrature curved domain.