- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
A virtual element method for the Laplacian eigenvalue problem in mixed form
- 发布时间：2025-04-30
- 论文名称：A virtual element method for the Laplacian eigenvalue problem in mixed form
- 发表刊物：Applied Numerical Mathematics
- 摘要：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, - 合写作者：Jian Meng, Yongchao Zhang, Liquan Mei
- 卷号：156
- 页面范围：1-13
- 是否译文：否
- 发表时间：2020-04-23
- 合写作者：Jian Meng, Yongchao Zhang, Liquan Mei
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