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 virtual element method for the Laplacian eigenvalue problem in mixed form
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:A virtual element method for the Laplacian eigenvalue problem in mixed form
- Journal:Applied Numerical Mathematics
- Summary:In this paper, the virtual element method for the approximation of Laplacian eigenvalue problem in mixed form is studied. We show that the discrete form satisfies the hypotheses required by the Brezzi-Bab ˇ uska theory. Under some assumptions on polygonal meshes, we employ the spectral theory of compact operators to prove the spectral approximation and the optimal order for the eigenvalues. Finally, some numerical results show that numerical eigenvalues obtained by the proposed numerical scheme can achieve the optimal convergence order.
https://doi.org/10.1016/j.apnum.2020.03.026
WOS:000540678600001, - Co-author:Jian Meng, Yongchao Zhang, Liquan Mei
- Volume:156
- Page Number:1-13
- Translation or Not:No
- Date of Publication:2020-04-23