基本情况

教育经历：

• 2008.9-2012.7  河南大学，数学与信息科学学院，数学与应用数学，学士

• 2012.9-2017.12 西安交通大学，澳门新葡平台app官网，计算数学，博士（硕博连读）导师：陈掌星教授

工作经历：

• 2018.3-至今  陕西师范大学，澳门新葡平台app官网，讲师

研究方向：

• 偏微分方程理论与计算

• 数学模型：多物理多区域耦合问题可计算建模，主要研究缝洞型油藏中涉及到的自由流和（裂缝）多孔介质流耦合模型，如Stokes-Darcy模型、Navier-Stokes-Cahn-Hilliard模型和Cahn-Hilliard-Hele-Shaw等模型。

• 数值方法：偏微分方程数值方法程序设计与实现，主要研究数值方法的程序设计与实现，包括传统网格剖分上的有限差分方法(FDM)、有限元方法(FEM)、有限体积方法(FVM)和间断有限体积元方法(DFVEM)；以及任意多边形网格剖分上的间断有限元方法(DGFEM)、弱有限元方法(WGFEM)、杂交高阶有限元方法(HHO)和虚拟元方法(VEM)。

代表性学术论文

• 1. Yali Gao, Liquan Mei*, Rui Li, A time-splitting Galerkin finite element method for the Davey-Stewartson equations [J]. Computer Physics Communications, 197: 35-42, 2015.
  

• 2. Gang Wang, Yinnian He*, Rui Li, Discontinuous finite volume methods for the stationary Stokes-Darcy problem [J]. International Journal for Numerical Methods in Engineering, 107(5): 395-418, 2016.

• 3. Rui Li, Jian Li, Zhangxin Chen*, Yali Gao, A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem [J]. Journal of Computational and Applied Mathematics, 292: 92-104 , 2016.

• 4. Yali Gao, Liquan Mei*, Rui Li, Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations [J]. Computers & Mathematics with Applications, 74(10): 2466-2484, 2017.

• 5. Rui Li, Jian Li, Xin Liu, Zhangxin Chen*, A Weak Galerkin Finite Element Method for a Coupled Stokes-Darcy Problem [J]. Numerical Methods for Partial Differential Equations, 33(4): 1352-1373, 2017.

• 6. Yi Li, Yanren Hou*, Rui Li, A stabilized finite volume method for the evolutionary Stokes-Darcy system [J], Computers & Mathematics with Applications, 75(2): 596-613, 2018.

• 7. Yali Gao, Liquan Mei*, Rui Li, Galerkin methods for the Davey–Stewartson equations [J]. Applied Mathematics and Computation, 328: 144-161, 2018.

• 8. Rui Li, Jie Chen, Zhangxin Chen*, Yali Gao, A decoupled scheme with leap-frog multi-time step for non-stationary Stokes-Darcy system [J]. International Journal of Computer Mathematics, 95(2): 361-381, 2018.

• 9. Rui Li, Yali Gao, Jian Li, Zhangxin Chen*, A Weak Galerkin Finite Element Method for a Coupled Stokes-Darcy Problem on General Meshes [J]. Journal of Computational and Applied Mathematics, 334: 111–127, 2018.

• 10. Rui Li, Jian Li, Xiaoming He *, Zhangxin Chen. A stabilized finite volume element method for a coupled Stokes-Darcy problem [J]. Applied Numerical Mathematics, 133: 2–22, 2018.

• 11. Rui Li, Yali Gao, Jian Li, Zhangxin Chen*, Discontinuous Finite Volume Element Method for a Coupled Non-stationary Stokes-Darcy Problem [J]. Journal of Scientific Computing, 74: 693–727, 2018.

• 12. Zhengkang He, Rui Li, Jie Chen, Zhangxin Chen*, The discrete duality finite volume method for a class of quasi-Newtonian Stokes flows [J], Numerical Methods for Partial Differential Equations, 35(6): 2193–2220, 2019.

• 13. Xin Liu, Rui Li, Zhangxin Chen*, A Virtual Element Method for the coupled Stokes-Darcy problem with Beaver-Joseph-Saffman interface condition [J]. Calcolo, 56, #48, 2019.

• 14. Rui Li*, Yali Gao, Wenjing Yan, Zhangxin Chen. A Crank-Nicolson discontinuous finite volume element method for a coupled fluid flow with porous media flow [J]. Journal of Computational and Applied Mathematics, 353: 86-112, 2019.

• 15. Yongchao Zhang, Liquan Mei*, Rui Li, A Hybrid High-Order method for a coupled Stokes-Darcy problem on general meshes [J]. Journal of Computational Physics, 403, #109064 , 2020.

• 16. Rui Li, Yali Gao*, Jie Chen, Li Zhang, Xiaoming He, Zhangxin Chen. Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model [J]. Advances in Computational Mathematics, 46, #25, 2020.

• 17. Yali Gao, Rui Li, Liquan Mei*,Yanping Lin. A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system[J]. Applied Numerical Mathematics, 157: 338–355, 2020.

• 18. Xin Liu, Rui Li, Yufeng Nie*, A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem [J].Computer Methods in Applied Mechanics and Engineering, 372, #113351, 2020.

• 19. Rui Li, Yongchao Zhang, Jianhua Wu*, Zhangxin Chen, Discontinuous finite volume element method for Darcy flow in fractured porous media [J]. Journal of Computational and Applied Mathematics, 381, #113025, 2021.

• 20. Jian Li*, Rui Li, Xin Zhao, Zhangxin Chen, A second order fractional time-stepping method for the coupled Stokes/Darcy system [J]. Journal of Computational and Applied Mathematics, 390, #113329, 2021.

教育科研项目

• 1. 中央高校基本科研业务费(GK201903007): 自由流和裂缝多孔介质流耦合模型高效解耦算法的研究, 2019/01-2020/12, 结题.

• 2. 陕西省自然科学基础研究计划项目(2019JQ-077): 自由流和裂缝多孔介质流耦合建模及新型数值方法研究, 2019/01-2020/12, 结题.

• 3. 国家自然科学基金青年基金项目(11901372): 自由流和裂缝多孔介质流区域耦合建模及其间断Galerkin有限元方法, 2020/01-2022/12, 主持.

• 4. 中国石化石油物探技术研究院开放基金项目: 起伏地表波动方程谱元方法数值模拟, 2019/11-2020/11, 主持.

• 5. 西北大学流体力学理论与计算陕西省重点实验室开放基金项目: 自由流和多孔弹性介质流耦合模型数值方法研究, 2020/09-2024/12, 主持.

• 6. 陕西省高校科协青年人才托举计划项目(20200504): 基于相场模型的液体浸润现象的间断Galerkin有限元方法研究, 2021/01-2022/12, 主持.

• 7. 中国石化石油物探技术研究院开放基金项目: 起伏地表地震波方程有限元-有限差分混合方法数值模拟, 2021/01-2022/12, 主持.

• 8. 中央高校基本科研业务费(GK202103004): 相场模型的间断 Galerkin 有限元方法研究, 2021/01-2022/12, 主持.

教育科研奖励

• 1. 陕西省高等学校科学技术一等奖, 关于2维/3维Navier-Stokes方程及其复杂耦合可计算模型数值方法研究, 第二完成人.
  

讲授课程

• 本科生课程：《高等数学》

• 研究生课程：《偏微分方程数值解》