A mixed Legendre-Galerkin spectral method for the buckling problem of simply supported Kirchhoff plates

被引：3
|
作者：
Cao, Junying [1 ,2 ]
Wang, Ziqiang [1 ,2 ]
Cao, Waixiang [3 ]
Chen, Lizhen [2 ]
机构：
[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Peoples R China
[2] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
[3] Sun Yat Sen Univ, Sch Data & Comp Sci, Guangzhou 510275, Guangdong, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2017年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
buckling problem; Legendre-Galerkin spectral method; simply supported Kirchhoff plates; FINITE-ELEMENT APPROXIMATION; REISSNER-MINDLIN PLATES; EIGENVALUE PROBLEMS; EQUATIONS;
D O I：
10.1186/s13661-017-0767-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a mixed Legendre-Galerkin spectral method to approximate the buckling problem of simply supported Kirchhoff plates subjected to general plane stress tensor. By the spectral theory of compact operators, the rigorous error estimates for the approximate eigenvalues and eigenfunctions are provided. Finally, we present some numerical experiments which support our theoretical results.
引用
收藏
页数：12
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