Numerical method for two-dimensional linearly elastic clamped plate model

Xiaoqin Shen; Rongfang Wu; Shengfeng Zhu

doi:10.1080/00207160.2023.2214641

Numerical method for two-dimensional linearly elastic clamped plate model

Xiaoqin Shen^*
, Rongfang Wu
, Shengfeng Zhu

^*此作品的通讯作者

数学科学学院

Xi'an University of Technology
State Key Laboratory of Eco-hydraulics

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1779-1793
页数	15
期刊	International Journal of Computer Mathematics
卷	100
期	8
DOI	https://doi.org/10.1080/00207160.2023.2214641
出版状态	已出版 - 2023

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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.",

keywords = "Morley element, clamped plate model, linear Lagrange element, numerical analyses",

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AU - Shen, Xiaoqin

AU - Wu, Rongfang

AU - Zhu, Shengfeng

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Morley element

KW - clamped plate model

KW - linear Lagrange element

KW - numerical analyses

UR - https://www.scopus.com/pages/publications/85161385765

U2 - 10.1080/00207160.2023.2214641

DO - 10.1080/00207160.2023.2214641

M3 - 文章

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SP - 1779

EP - 1793

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 8

ER -

Numerical method for two-dimensional linearly elastic clamped plate model

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