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

Boundary value problems

Lizhen Chen¹  Ziqiang Wang¹  Waixiang Cao²  Junying Cao² 

[1] Beijing Computational Science Research Center, Beijing, China;School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, China

关键词: buckling problem;    Legendre-Galerkin spectral method;    simply supported Kirchhoff plates;   

DOI  :  10.1186/s13661-017-0767-z

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY