梅立泉
- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 所在单位：数学与统计学院
- 学历：博士研究生毕业
- 办公地点：
- 性别：男
- 联系方式：
- 学位：博士
- 学科：数学
- 学科：数学
A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem
- 发布时间：2025-04-30
- 论文名称：A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem
- 发表刊物：Calcolo
- 摘要：In this paper, we introduce a C0 virtual element method for the Helmholtz transmission eigenvalue problem, which is a fourth-order non-selfadjoint eigenvalue problem.We consider the mixed formulation of the eigenvalue problem discretized by the lowest-order virtual elements. This discrete scheme is based on a conforming H1(Omega)* H1(Omega) discrete formulation, which makes use of lower regular virtual element spaces. However, the discrete scheme is a non-classical mixed method due to the non-selfadjointness, then we cannot use the framework of classical eigenvalue problem directly. We employ the spectral theory of compact operator to prove the spectral approximation. Finally, some numerical results show that numerical eigenvalues obtained by the proposed numerical scheme can achieve the optimal convergence order.
10.1007/s10092-020-00391-5 - 合写作者：Jian Meng, Gang Wang, Liquan Mei
- 卷号：58:2
- 是否译文：否
- 发表时间：2021-01-20
- 合写作者：Jian Meng, Gang Wang, Liquan Mei