- 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
Discontinuous Galerkin methods of the Stokes equations with nonlinear damping term on general meshes
- 发布时间：2025-04-30
- 论文名称：Discontinuous Galerkin methods of the Stokes equations with nonlinear damping term on general meshes
- 发表刊物：Computers and Mathematics with Applications
- 摘要：This paper presents the interior penalty discontinuous Galerkin (IPDG) methods to solve the stationary Stokes equations with nonlinear damping term. The IPDG discrete schemes are established on general meshes. The corresponding consistency and stabilization of those schemes are proved. Subsequently, we analyze the existence, boundedness and uniqueness of the discrete solutions. Then the optimal error estimates are derived in the L2-norm and H1-like DG-norm for the velocity variable and L2-norm for the pressure variable, respectively. Finally, some numerical experiments in two dimensional are reported to demonstrate the theoretical results and show the robustness of our discrete schemes.
https://doi.org/10.1016/j.camwa.2019.10.027 - 合写作者：Yongchao Zhang, Yanxia Qian, Liquan Mei
- 卷号：79(8)
- 页面范围：2258-2275
- 是否译文：否
- 发表时间：2020-04-15
- 合写作者：Yongchao Zhang, Yanxia Qian, Liquan Mei