论文期刊

A linear virtual element method for the Kirchhoff plate buckling problem




作者: JIan Meng, Liquan Mei
发表/完成日期: 2020-01-01
期刊名称: Applied Mathematics Letters
期卷: 103 (2020) 106188
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论文简介
In this paper, a linear virtual element method for the approximation of the Kirchhoff plate buckling eigenvalue problem subjected to the simply supported boundary condition is studied. We give the weak formulation of the spectral problem by introducing an auxiliary variable, and construct a piecewise linear and lower regular virtual element space. Moreover, we employ the spectral theory of compact operator to prove the spectral approximation and optimal order for the eigenvalues. Finally, some numerical results are presented.