姓名：姚昌辉

职务/职称：教授&河南省特聘教授

研究领域：偏微分方程数值解；有限元方法理论与分析；电磁场问题数值模拟;非线性问题数值方法

邮箱：chyao@zzu.edu

简要经历

1996-2000年，郑州大学数学系获基础数学学士学位；

2000-2003年，郑州大学数学系，获计算数学硕士学位；

2003-2006年，中国科学院计算数学所，获计算数学博士学位；

2005-2008年，挪威Bergen大学数学系，挪威国家石油研究中心（CIPR），获哲学（应用数学）博士学位；

2009-2016年11月，副教授，硕士生导师；

2016年11月--至今教授，硕士生导师；

2020年09月--至今教授，博士生导师

2022年04月--至今 河南省特聘教授，博士生导师

主要项目

(a)国家自然科学基金面上项目:对流环流域上非线性磁热耦合界面问题的浸入非协调有限元方法研究2019-2022

(b)国家自然科学基金面上项目:复杂腔体上电磁散射大波数问题非协调元逼近及加速技术研究2015-2018；

(c)郑州大学优秀青年发展基金，2015-2018。

(d)国家自然科学基金青年基金:Maxwell方程非协调有限元方法研究2012-2014

奖励

1.科研成果《偏微分方程高效有限元方法新模式研究》于2021年获得由河南省人民政府颁发的“河南省自然科学奖”二等奖，排名第二（共5人），编号2021-Z-011-R02/05。

其他

1.兼职中国数学会计算数学分常务会理事，

2.兼职中国仿真学会不确定性系统分析仿真专业委员会常务委员，

3.兼职河南省数字图形图像学会智能超声影像专业委员会主任委员。

论著

主编《数值分析》，国家开放大学出版社，2021.（河南省“十四五”普通高等教育规划教材）

论文

1. Changhui Yao, Rong Sun, Qiumei Huang, Global well-posedness and exponential stability for Maxwell’s equations under delayed boundary condition in metamaterials, Journal of Differential Equations 365 (2023) 168-198.

2. Changhui Yao, Huijun Fan, YanminZhao, Yifa Tang,Finite element approximation for Maxwell’s equations with Debye memory under a nonlinear boundary feedback with delay,Communications in Nonlinear Science and Numerical Simulation 119 (2023) 107082.

3. Changhui Yao, Fengdan Zhang and Cheng Wang,A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions,J. Comp. Math.(2023)DOI:10.4208/jcm.2205-m2021-0234

4. Changhui Yao, Zhaoyue Du,Lei Yang,SAV finite element method for the Peng-Robinson equation of state with dynamic boundary conditions.Adv. Appl. Math. Mech.15(2023),no. 1,139–158.

5. MingCui,YanfeiLi,Changhui YaoUnconditional superconvergence analysis of energy conserving finite element methods for the nonlinear coupled Klein-Gordon equations.Adv. Appl. Math. Mech.15(2023),no. 3,602–622

6. FangfangCao,YanminZhao,FenlingWang,YanhuaShi,ChanghuiYao,Nonconforming mixed FEM analysis for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with time-space coupled derivative.Adv. Appl. Math. Mech.15(2023),no. 2,322–358.

7. ChanghuiYao,HuijunFan,YanminZhao,YanhuaShi,FenlingWang,Fast algorithm for nonlocal Allen-Cahn equation with scalar auxiliary variable approach.Appl. Math. Lett.126(2022)107805.

8. Changhui Yao, Zheyuan Wang, Yanmin Zhao, A leap-frog finite element method for wave propagation of Maxwell-Schrödinger equations with nonlocal effect in meta- materials, Computers & Mathematics with Applications, 90,25-37(2021).

9. Changhui Yao,YanfeiLi, Modified two-grid algorithm for nonlinear power-law conductivity in Maxwell's problems with high accuracy.Adv. Appl. Math. Mech.13(2021),no. 2,481–502.

10. Changhui Yao,Furong Li, Yanmin Zhao, Superconvergence analysis of two-grid FEM for Maxwell's equations with a thermal effect,Computers & Mathematics with Applications, 79(12), 3378 -3398 (2020).

11. Changhui Yao, Yifan Wei, Qiumei Huang, Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric Materials, Applied Numerical Mathematics, 157, 405-418(2020).

12. Changhui Yao, Shanghui Jia, A second order numerical scheme for nonlinear Maxwell's equations using conforming finite element, Applied Mathematics and Computation, 371, 124940 (2020).

13. Lixiu Wang, Changhui Yao, Zhimin Zhang, Convergence analysis of finite element approximation for 3-D magneto-heating coupling model, International Journal of Numerical Analysis and Modeling, 17(1), 1-23 (2020).

14. Qiumei Huang, Shanghui Jia, Fei Xu, Zhongwen Xu, Changhui Yao, Solvability of wave propagation with Debye polarization in nonlinear dielectric materials and its finite element methods approximation,Applied Numerical Mathematics,146,145-164 (2019).

15. Changhui Yao, The solvability of coupling the thermal effect and magnetohy- drodynamics field with turbulent convection zone and the flow field, Journal of Mathematical Analysis and Applications, 476(2),495-521(2019).

16. Peizhen Wang, Ming Sun, Changhui Yao, l2superconvergence analysis of nonconforming element approximation for 3D time-harmonic Maxwell's equation, Applied Numerical Mathematics,127,40-55(2018).

17. Changhui Yao, Yuzhen Zhou, Shanghui Jia, A finite element method for Maxwell polynomial chaos Debye model, Applied Mathematics and Computation, 325,59-68(2018).

18. Shanghui Jia, Changhui Yao, ShuaiSu,Nodal discontinuous Galerkin method for time-domain Lorentz model equations in metamaterials.Numerical Mathematics -Theory Methodsand Applications, 11(1),30-48(2018).

19. Changhui Yao, Yanping Lin, ChengWang,YanliKou,A third order linearized BDF scheme for Maxwell's equations with nonlinear conductivity using finite element method.Int. J. Numer. Anal. Model.14(2017),no. 4-5,511–531.

20. Shanghui Jia, Changhui Yao,Superconvergence analysis of gradient recovery method for TM model of electromagnetic scattering in the cavity.Adv. Appl. Math. Mech.9(2017),no. 5,1133–1144.

21. Changhui Yao, Lixiu Wang,Nonconforming finite element methods for wave propagation in metamaterials.Numer. Math. Theory Methods Appl.10(2017),no. 1,145–166.

22. Changhui Yao,Dongyang Shi,Nonconforming mixed finite element method for time-dependent Maxwell's equations with ABC.Numer. Math. Theory Methods Appl.9(2016),no. 2,193–214.

23. Dongyang Shi and Changhui Yao, Nonconforming finite element approximation of time-dependent Maxwell's equations in Debye medium, Numerical Methods for Partial Differential Equations. Volume 30, Issue 5, September 2014, Pages: 1654–1673.

24. Changui Yao and Shanghui Jia, Asymptotic Expansion Analysis of Nonconforming Mixed Finite Element Methods for Time-dependent Maxwell's Equations in Debye Medium。Applied Mathematics and Computation,229, 34–40,2014.

25. Changhui Yao, Jinfa Li and Dongwei Shi, Superconvergence analysis of nonconforming mixed finite element methods for , ime-dependent Maxwell ’ s equations in isotropic cold plasma media. Applied Mathematics and Computation.219, 6466–6472,2013.

26. Changhui Yao, Binary level set methods for dynamic reservoir characterization by operator splitting scheme, Advance in Applied Mathematics and Mechanics. Vol.4, NO.6, 780-798,2012.

27. Zhonghua Qiao,Changhui Yao and Shanghui Jia, Superconvergence and extrapolation analysis of a nonconforming mixed finite element approximation for time-harmonic Maxwell’s equations. Journal of Science Computing.Vol.46, NO.1,1-19,2011.

28. Changhui Yao and Zhonghua Qiao, Extrapolation of Mixed Finite Element Approximations for the Maxwell Eigenvalue Problem. Numerical Mathematics: Theory,Methods and Applications.App.4,92-112,2011.

29. Chang HuiYao, Finite element approximation for TV regularization.Int. J. Numer. Anal. Model.5(2008),no. 3,516–526.

30. Xue-Cheng Tai, Changhui Yao, Fast PCLSM with Newton updating algorithm.Image processing based on partial differential equations,249–262,Math. Vis.,Springer, Berlin,2007.

31. Xue-Cheng Tai, Changhui Yao, Image segmentation by piecewise constant Mumford-Shah model without estimating the constants.J. Comput. Math.24(2006),no. 3,435–443.