二维线弹性夹紧板模型的数值计算方法

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

International Journal of Computer Mathematics Pub Date : 2023-05-16 DOI:10.1080/00207160.2023.2214641

Xiaoqin Shen, R. Wu, Shengfeng Zhu

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引用次数: 0

摘要

本文提出了二维线弹性夹紧板模型的一种有效的数值计算方法。具体来说，我们选择线性拉格朗日元来离散矢量位移空间中的前两个分量，选择莫雷元来离散第三个分量。此外，还分析了离散解的存在性、唯一性和先验误差估计。最后，通过数值实验验证了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical method for two-dimensional linearly elastic clamped plate model

ABSTRACT In this paper, we propose an efficient numerical method for the two-dimensional (2D) linearly elastic clamped plate model. Specifically, we choose the linear Lagrange element to discretize the first two components in the vector displacement space, as well as the Morley element to discretize the third component. Moreover, the existence of discrete solution, uniqueness and a-priori error estimate is analysed. Finally, numerical experiments are presented to verify theoretical results.

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来源期刊

International Journal of Computer Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

5 months

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