Personal Information

Hong li

Professor

Inner Mongolia University

 

Qualifications

2001 Ph.D., University of Science and Technology of China, Computational Mathematics

1998 M.S., Inner Mongolia University, Applied Mathematics

1995 B.S., Inner Mongolia Normal University

 

Research Interests

Computational mathematics, Numerical Analysis, Numerical methods for partial differential equations (Finite element methods, especially space-time finite element method, discontinuous finite element method, mixed finite element method, reduced-order finite element method based on POD technique)

 

Publications (selected)

  1. Hong Li, Zhendong Luo, Ping Sun, Jing An. A finite volume element formulation and error analysis for the non-stationary conduction-convection problem, Journal of Mathematical Analysis and Applications, 396 (2): 864-879, 2012
  2. Zhendong Luo, Hong Li*, Ping Sun. A reduced Crank-Nicolson finite volume element formulation based on POD for parabolic problems, Applied Mathematics and Computation, Publication online, DOI: 10.1016/j.amc.2012.11.083
  3. Zhendong Luo, Hong Li*, Ping Sun, Junqiang Gao. A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations. Applied Mathematics Modelling, 37: 5464-5473, 2013
  4. Zhendong Luo, Hong Li*, Yueqiang Shang, Zhichao Fang. A LSMFE formulation based on proper orthogonal decomposition for parabolic equations, Finite Elements in Analysis and Design, 60: 1-12, 2012
  5. Zhendong Luo, Hong Li, Yanjie Zhou, Xiaoming Huang. A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem, Journal of Mathematical Analysis and Applications, 385: 310-321, 2012
  6. Zhendong Luo, Hong Li*, Yanjie Zhou, Zhenhui Xie. A reduced finite element formulation and error estimates based on POD method for two-dimensional solute transport problems, Journal of Mathematical Analysis and Applications, 385: 371-383, 2012
  7. Yang Liu, Hong Li, Jinfeng Wang, Siriguleng He. Spliting positive definite finite element methods for pesdu-hyperbolic equations, Numerical Methods for Partial Differential Equations, 28 (2): 670-688, 2012
  8. Yang Liu, Hong Li*, W Gao, Siriguleng He, Jinfeng Wang. Splitting positive definite mixed element method for viscoelasticity wave equation, Frontiers of Mathematics in China, 7 (4): 725-742, 2012
  9. Yang Liu, Hong Li*, Gao Wei, JinFeng Wang. A new positive definite expanded mixed element method for parabolic integro-differential equation, Journal of Applied Mathematics, 9: 1-24, 2012, Article ID 391372, DOI: 10.1155/2012/391372
  10. Siriguleng He, Hong Li*, Yang Liu. Analysis of mixed finite element methods for fourth-order wave equations, Computers & Mathematics with Applications, published online, DOI: 10.1016/camwa.2012.10.002 , 65(1): 1-16, 2013
  11. ZhiChao Fang, Hong Li*. An Expanded Mixed Covolume Method for Sobolev Equation with Convection Term on Triangular Grids, Numerical Methods for Partial Differential Equations, Published online, DOI: 10.1002/num.21745