已发表论文:
21.Mengjie Liu, Mingyan He , Pengtao Sun, Numerical Studies for an Interface Problem Involving Fourth- and Second-Order Poisson-Fermi Electrostatic Equations,Int. J. Numer. Anal. Mod., 22 (2025), 226-245.
20.Mengjie Liu, Mingyan He, Pengtao Sun, Mixed finite element analysis for a modified Poisson-Fermi interface problem accounting for electrostatic correlations. Commun. Nonlinear Sci. Numer. Simul. 140: 108385 (2025)
19.Jia Tian, Mingyan He, Pengtao Sun,Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations. J. Comput. Appl. Math. 438: 115576 (2024).
18. Qingxia Zhang, Zhengfang Zhang, Mingyan He, Xinping Shao and Weifeng Chen, The dielectric boundary force in molecular solvation of the generalized Poisson-Boltzmann equation with ionic sizes, International Journal of Computational Methods,2023.
17. Mingyan He, Jia Tian, Pengtao Sun, Zhengfang Zhang, An energy-conserving finite element method for nonlinear fourth-order wave equations, Applied Numerical Mathematics, 2023, 183: 333-354.
16. Mingyan He, Pengtao Sun, Hui Zhao, Finite element approximations to a fourth-order modified Poisson-Fermi equation for electrostatic correlations in concentrated electrolytes, Computers & mathematics with applications, 2022, 117: 229-244.
15. Xingwen Zhu, Mingyan He, Pengtao Sun, Comparative studies on mesh-free deep neural network approach versus finite element method for solving coupled nonlinear hyperbolic/wave equations, International Journal of Numerical Analysis & Modeling, 2022, 603-629.
14. Mingyan He, Pengtao Sun, Mixed finite element method for modified Poisson-Nernst-Planck/Navier-Stokes equations, Journal of Scientific Computing, 2021, 87(3), 80.
13. Wei Xu, Cheng Wang , Mingyan He, Wenbin Chen, Weimin Han, Ziping Huang, Numerical analysis of doubly-history dependent variational inequalities in contact mechanics. Fixed Point Theory and Algorithms for Sciences and Engineering, 2021, 2021(1): 1-21.
12. Mingyan He, Pengtao Sun, Energy-preserving finite element methods for a class of nonlinear wave equations, Applied Numerical Mathematics, 2020, 157, 446–469.
11. Mingyan He, Pengtao Sun, Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling, Journal of Computational and Applied Mathematics,2018, 341, 61-79.
10. Mingyan He, Pengtao Sun, Error analysis of mixed finite element method for Poisson-Nernst-Planck system, Numerical Methods for Partial Differential Equations , 2017, 33, 1924-1948.
9. Cheng Wang, Mingyan He, Pengtao Sun, A new combined finite element-upwind finite volume method for the convection-dominated diffusion problems, Numerical Methods for Partial Differential Equations, 2016, 32(3), 799-818
8. Mingyan He, Pengtao Sun, Cheng Wang, Ziping Huang, A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation, Journal of Computational and Applied Mathematics, 2015, 288, 223-232.
7. Luwen Wang, Mingyan He, Yue Hu,ect., A 4-cell modular passive DMFC (direct methanol fuel cell) stack for portable applications, Energy, 2015, 82, 225-239.
6. Mingyan He, Ziping Huang, Pengtao Sun, Cheng Wang, Modeling and numerical studies for a 3D two-phase mixed-domain model of PEM fuel cell, Journal of the Electrochemical Society, 2013, 160(4), F324-F336.
5. Mingyan He, Ziping Huang, Pengtao Sun, An overlapping domain decomposition method for a 3D PEMFC model, Cheng Wang, Lecture Notes in Computational Science and Engineering, Springer Berlin Heidelberg, 2013, 91, 119-126.
4. Yuzhou Sun, Mingyan He, Pengtao Sun, Numerical analysis of finite element method for a transient two-phase transport model of polymer electrolyte fuel cell, Procedia Computer Science, 2013, 18, 2167-2176.
3. Mingyan He, Ziping Huang, Cheng Wang, Pengtao Sun, An efficient two-grid method for a two-phase mixed-domain model of polymer exchange membrane fuel cell, Procedia Computer Science, 2012, 9, 689-698.
2. Mingyan He, Ziping Huang, Cheng Wang, Pengtao Sun, An overlapping domain decomposition method for a polymer exchange membrane fuel cell model, Procedia Computer Science,2011, 4,1343-1352.
1. Mingyan He, Su Zhou, Ziping Huang and Pengtao Sun, 基于SIMULINK/FLUENT 的PEMFC系统的协同仿真, 系统仿真学报, 2011, 23(1), 38-43.