近期论文
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Feng Shi,Yizhong Sun, Haibiao Zheng, Ensemble Domain Decomposition Algorithm for the Fully-mixed Random Stokes-Darcy Model with the Beavers-Joseph Interface Conditions, SIAM J. Numer. Anal., 2023, 61, Vol. 3, 1482 - 1512.
S. Hussain, Md. A. Al Mahbub, Feng Shi, A Stabilized Finite Element Method for the Stokes-Stokes Coupling Interface Problem, J. Math. Fluid Mech., 2022, Vol. 24, Arcticle 63.
Ren Zhao, Wenxin Du, Feng Shi*(通讯作者), Yong Cao, Recovery based finite difference scheme on unstructured mesh, Applied Math. Letters, 2022, Vol. 107, 10793.
Qian He, Wenxin Du, Feng Shi*(通讯作者), Jiaping Yu, A fast method for solving time-dependent nonlinear convection diffusion problems, Electr. Res. Arch., 2022, Vol. 30, 2165-2182.
Yizhong Sun, Feng Shi, Haibiao Zheng, Heng Li, Fan Wang, Two-grid domain decomposition methods for the coupled Stokes–Darcy system, Comput. Methods Appl. Mech. Engrg., 2021, Vol. 385, 114041.
Jiaping Yu, Yizhong Sun, Feng Shi*(通讯作者), Hibiao Zheng, Nitsche's type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions, Applied Math. Letters, 2020, Vol. 110, 106588.
H. Liu, Feng Shi, J. Wan, X. He, Y. Cao, Discrete unified gas kinetic scheme for a reformulated BGK–Vlasov–Poisson system in all electrostatic plasma regimes, Comput. Phys. Commun., 2020, Vol. 255, 107400.
Md. A. AI Mahbub, Feng Shi, N. Nasu, Yongshuai Wang, Haibio Zheng, Mixed Stabilized Finite Element Method for the Stationary Stokes-Dual-Permeability Fluid Flow Model, Comput. Methods Appl. Mech. Engrg., 2020, Vol. 358, 112616.
Jiaping Yu, Haibiao Zheng, Feng Shi*(通讯作者), Ren Zhao, Two-grid finite element method for the stabilization of mixed Stokes-Darcy model. Discrete Contin. Dyn. Syst. – Ser. B, 2019, Vol. 24, 197-207.
Jiaping Yu, Feng Shi*(通讯作者), Jinping Zhao, A stabilized coupled method and its optimal error estimates for elliptic interface problems, 2019, Adv. Differ. Equ., 2019, 400.
Jiaping Yu, Md. Abdullah Ai Mahbub, Haibiao Zheng, Feng Shi*(通讯作者), Stabilized finite element method for the stationary mixed Stokes-Darcy problem, Adv. Differ. Equ., 2018, 346.
Feng Shi, Haibiao Zheng, Yong Cao, Jingzhi Li, Ren Zhao, A fast numerical method for solving coupled Burgers' equations, Numer. Meth. PDEs, 33(2017), no. 6, 1823–1838.
Qiang Wu, Feng Shi*(通讯作者), A backward approach to certain class of transport equations in any dimension based on Shannon sampling theorem, Int. J. Comput. Math., 94(2017), no.10, 1943-1967.
Haibiao Zheng, Feng Shi*(通讯作者), Yanren Hou, Jianping Zhao, Yong Cao, Ren Zhao, A new local and parallel finite element algorithm based on the partition of unity. J. Math. Anal. Appl., 435(2016), no. 1, 1-19.
Rong An, Feng Shi*(通讯作者), Two-level iteration penalty methods for the incompressible flows. Appl. Math. Model., 39 (2015), no. 2, 630–641.
Haibiao Zheng, Jiaping Yu, Feng Shi, Local and parallel finite element algorithm based on the partition of unity for incompressible flows. J. Sci. Comput., 65(2015), no. 2, 512-532.
Feng Shi, Haibiao Zheng, Jiaping Yu, Ying Li, On the convergence of Variational multiscale methods based on Newton's iteration for incompressible flows. Appl. Math. Model., 38 (2014), no. 23, 5726–5742.
Feng Shi, Guoping Liang, Yubo Zhao, Jun Zou, New splitting methods for time-dependent convection-dominated diffusion problems. Commun. Comput. Phys., 16(2014), no. 5, 1239–1262.
Jiaping Yu, Feng Shi, Haibiao Zheng, Local and parallel finite element algorithms based on the partition of unity method for the Stokes problem. SIAM J. Sci. Comput., 36(2014), no. 5, C547–C567.
会议论文及发表演说
The second annual meeting of the SIAM Central States Section, Sept. 30 - Oct. 2, 2016, University Of Arkansas at Little Rock, Little Rock, Arkansas, Parallel Section (Some Advances In Finite Element Methods, Co-organize with Dr. Yuchuan Chu): A space-time discretization method for solving flow problems based on the partition of unity and adaptivity strategy.
The 8th International Congress on Industrial and Applied Mathematics, Aug. 10 - 14, 2015, Beijing, China, Mini-symposia: A Fully Discrete Method for Nonlinear Convection-diffusion Equations.
International Workshop on Parallel and Fast Solvers for Partial Differential Equations, Nov. 30–Dec. 3, 2014, Shanghai University, Invited Talk: A fast numerical method for solving coupled Burgers’ equations.
Symposium on Scientific Computing, May 31 - June 2, 2014, Xi’an Jiaotong University, A splitting method for the time dependent flow problems.
Annual Conference of Computational Mathematics for National Universities, Oct. 19 - 23, 2013, Changsha, Group Presentation: New splitting method for time dependent convention dominated diffusion problems and Navier-Stokes equations with variable density.
International Workshop on Scientific Computing for Young Chinese Mathematicians, Mar. 15 - 17, 2013, The Chinese University of Hong Kong, Invited Talk: Two-level iteration penalty methods for the incompressible flows.
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