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
Discontinuous Galerkin methods of the Stokes equations with nonlinear damping term on general meshes
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:Discontinuous Galerkin methods of the Stokes equations with nonlinear damping term on general meshes
- Journal:Computers and Mathematics with Applications
- Summary: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 - Co-author:Yongchao Zhang, Yanxia Qian, Liquan Mei
- Volume:79(8)
- Page Number:2258-2275
- Translation or Not:No
- Date of Publication:2020-04-15