梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
A linear virtual element method for the Kirchhoff plate buckling problem
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:A linear virtual element method for the Kirchhoff plate buckling problem
- Journal:Applied Mathematics Letters
- Summary: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.
- Co-author:Jian Meng, Liquan Mei
- Volume:103 (2020) 106188
- Translation or Not:No
- Date of Publication:2020-01-01