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张国栋

作者: 时间:2018-06-08 点击数:

 

  张国栋

教授课程:  高等数学,泛函分析,数值线性代数

研究方向:  多物理问题数值算法与理论

联系方式:gdzhang@ytu.edu.cn  or gdzhang2014@gmail.com

教育经历:

2004.9-2008.7   山东理工大学 信息与计算科学 理学学士;

2008.9-2011.7   兰州大学 基础数学 理学硕士;

2011.9-2015.12 西安交通大学 计算数学 理学博士;

2014.9-2015.9   宾夕法尼亚州立大学 计算数学 联合培养;

工作经历:

2016.2-至今, 烟台大学 数学与信息科学学院, 计算科学系, 讲师;

 

研究兴趣:计算流体动力学,多物理问题计算。

在研项目:

11601468, 磁流体方程的解耦算法及预处理快速求解方法,国家自然科学青年基金 20171月至2019 12月,主持

11771375, 非线性抛物方程有限体积元方法的后验误差估计及自适应算法,国家自然科学基金(面上), 2018.1—2021.12, 参与 3/10.

ZR2018MA008, 奇异摄动问题的稳定化局部守恒数值方法及其在多孔介质流中的应用,

山东省自然科学基金(面上),2018.03-2021.6,参与4/7.

研究成果:

Linear, symmetric, unconditional stable schemes for incompressible flows.  On going.

Numerical analysis for IEQ method of Allen-Cahn and Cahn-Hilliard equations.  On going.

17. Guo-Dong Zhang, ANALYSIS OF SYMMETRIC SCHEMES AND ROBUST PRECONDITIONERS FOR INCOMPRESSIBLE MHD SYSTEM, Submitted.

16. XiaoFeng Yang , Guo-Dong Zhang(通讯), Xiaoming He,,   CONVERGENCE ANALYSIS OF AN UNCONDITIONALLY ENERGY STABLE PROJECTION SCHEME FOR MAGNETO-HYDRODYNAMIC EQUATIONS, Submitted.

15. Guo-Dong Zhang, Xiaoming He, XiaoFeng Yang, A FULLY DECOUPLED, LINEAR AND UNCONDITIONALLY ENERGY STABLE SCHEME FOR MAGNETO-HYDRODYNAMIC EQUATIONS, Submitted.
14. Xiaofeng, Yang, Guo-Dong, Zhang, Numerical approximations of the Allen-Cahn and Cahn-Hilliard  Equations with general nonlinear potential using the Invariant Energy Quadratization approach, Submitted.

13. Guo-Dong Zhang, Xiaoming He, Xiaofeng, Yang, STABILITY AND CONVERGENCE ANALYSIS OF A LINEAR, FULLY DECOUPLED AND UNCONDITIONALLY ENERGY STABLE SCHEME FOR MAGNETO-HYDRODYNAMIC EQUATIONS, Submitted.

12. Guo-Dong Zhang, Min Yang, Yinnian He, Robust preconditioners for unconditionally energy stable and convergent schemes of MHD equations, Submitted.

11. Guo-Dong Zhang, Jinjin Yang, Chunjia Bi, Second order unconditionally convergent and energy stable linearized scheme for MHD equations, Advances in Computational mathematics, April 2018, Volume 44,(2)  505540.

10. Guo-Dong Zhang, Yinnian He, Decoupled schemes for unsteady MHD equations I:Timediscr

etizationNumerical methods for PDEs, 2017.

9. Yicong Ma,JinchaoXu,  Guo-DongZhang,  Error estimates for a structure preservin

discretization   of an incompressible MHD system,  arXiv preprint arXiv:1608.03034, 2016 - arxiv.org

8. Jinjin Yang, Yinnian He, Guo-Dong Zhang,  On an efficient second order backward difference Newton scheme for MHD system. 2017, to appear in  Journal of Mathematical analysis and applications.

7. Guo-Dong Zhang, Yinnian He, Unconditional convergence of the Euler semi-implicit

scheme for the 3D incompressible  MHD equations:numerical implementation, International Journal of Numerical Methods for Heat & Fluid Flow,2015

6. Guodong Zhang, Xiaojing Dong, Yongzheng An, Hong Liu, New conditions of stability and convergence of Stokes and Newton iterations for Navier-Stokes equations,  Applied  Mathematics and Mechanics, 2015.

5. Guo-Dong Zhang, Yinnian He, Decoupled schemes for unsteady MHD equations II:Finite element spatial discretization and numerical implementation, Computers & Mathematics with Applications  2015,

4. Guo-Dong Zhang, Yan Zhang, Yinnian He, Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics, Journal of Scientific Computing,2015.

3. Guo-Dong Zhang, Yinnian He, Di YangAnalysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain, Computers & Mathematics with Applications , 2014.

2. Guo-Dong Zhang, Yinnian He, Yan Zhang, Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics, Numerical Methods for Partial Differential Equations, 2014.

1. Guo-Dong Zhang, Hong-Rui,Sun, Multiple solutions for a fourth-order difference boundary value problem with parameter via variational approach, Applied Mathematical Modelling, 2012.

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