【石东洋】郑州大学数学与统计学院研究生导师介绍

信息发布

　　研究方向：有限元方法、计算结构与力学、计算流体等

　　Email: shi_dy@zzu.edu.cn; zzshidy@126.com

　　个人简介：

　　1980-1984 郑州大学理学学士；

　　1984-1987 西安交大理学硕士；

　　1994-1997西安交大理学博士；

　　1997-1999日本东京工业大学博士后；

　　2000-2008年先后任悉尼科技大学、香港城市大学和中国科学院访问教授、西安交通大学客座研究员。

　　2001年2月遴选为博士生导师，2003年11月遴选为省特聘教授。先后任日本东京工业大学研究员、日本文部省外国人研究员（博士后）、澳大利亚悉尼科技大学、香港城市大学、中国科学院访问教授，西安交通大学理科中心客座研究员。先后获得“河南省跨世纪学术与技术带头人”、“河南省优秀专家”、“河南省高等学校创新人才工程培养对象”、“郑州大学优秀研究生指导教师”等称号。

　　现任郑州大学二级教授，计算数学（省级重点学科）学科带头人。省数学学会秘书长、省科协委员、美国《Mathematics Review》评论员、国际SIAM会员、国家基金委（面上、重点及杰出青年基金）项目评审专家；2008-2014年任中国计算数学学会常务理事。

　　近10年来发表有影响的学术论文160余篇，其中有100余篇论文发表在国际SCI期刊上。

　　科研课题：

　　国家自然科学基金4项：

　　1、 《高阶变分不等式问题的新有限元模式研究》 2004.01-2006.12，项目编号：10371113

　　2、《各向异性非常规高精度有限元的新模式及其应用》 2007.01-2009.12，项目编号：10671184

　　3、《各项异性高效非协调混合有限元方法研究》2010.01-2012.12，项目编号：10971203

　　4、《发展方程的高性能各向异性非协调有限元方法研究》2013.01-2016.12，项目编号：11271340

　　高等学校博士学科点专项科研基金1项：

　　1、《各向异性高精度非协调混合有限元方法研究》2010.01-2012.12，项目编号：20094101110006国家人事部归国留学择优资助项目1项

　　河南省高校创新人才培养工程对象基金1项

　　主要发表论文：

　　1. Yao Changhui, Shi Dongyang. Nonconforming Mixed Finite Element Method for Time-dependent Maxwell's Equations with ABC, Numerical Mathematics: Theory , Methods and Applications, 2015, in press.

　　2. Shi Dongyang,Tang Qili,Liao Xin. Asymptotic expansions and extrapolations of H1-Galerkin mixed finite element method for Strongly Damped Wave Equation,Advances in Applied Mathematics and Mechanics,2015,in press.

　　3. Shi Dongyang, Li Minghao, Xu Chao. A New Stabilization Method for the Elasticity Problem, Journal of Scientific Computing, 2015, in press, doi:10.1007/s10915-015-9996-

　　4. Guan Hongbo, Shi Dongyang . A stable nonconforming mixed finite element scheme for elliptic optimal control problems, Computers and Mathematics with Applications, 2015,  in press, doi:10.1016/j.camwa.2015.04.005.

　　5. Shi Dongyang, Cui hongxin, Guan hongbo. Streamline-Diffusion method of a lowest order nonconforming rectangular finite element for Convection-diffusion problem, Acta Mathematicae Applicatae Sinica,English Series, 2015,31(2):427-434.

　　6. Shi Dongyang, Li Minghao, Dai Ying. The Brezzi–Pitk?ranta stabilization scheme for the elasticity problem, Journal of Computational and Applied Mathematics, 2015, 286(1): 7–16.

　　7. Shi Dongyang, Wang Caixia, Tang Qili. Anisotropic crouzeix-raviart type nonconforming finite element methods to variational inequality problem with displacement obstacle, Journal of Computational Mathematics, 2015, 33(1):86-99.

　　8. Shi Dongyang , Tang Qili, Wei Gong. A low order characteristic nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term, Mathematics and Computers in Simulation, 2014, in press,doi:10.1016/j.matcom.2014.03.008.

　　9. Guan Hongbo, Shi Dongyang. A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Applied Mathematics and Computation, 2014, 245, 382–390.

　　10. Shi Dongyang , Li Minghao. Superconvergence analysis of a stable conforming rectangular mixed finite elements for the linear elasticity problem, Journal of Computational Mathematics, 2014, 32 (2), 205-214.

　　11. Shi Dongyang, Yao Changhui. Nonconforming Finite Element Approximation of Time-Dependent Maxwell's Equations in Debye Medium, Numerical Methods for Partial Differential Equations, 2014, 30(5): 1654-1673.

　　12. Shi Dongyang, Li Minghao. Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem, Journal of Computational Mathematics, 2014, 32(2):205-214.

　　13. Shi Dongyang, Liao Xin, Wang Lele. The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem, Computers and Mathematics with Applications, 2014,68(7):759-769.

　　14. Shi Dongyang, Wang Pingli, Zhao Yanmin. Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schr?dinger equation, Applied Mathematics Letters, 2014, 38:129-134.

　　15. Shi Dongyang, Zhao Yanmin, Wang Fenling. Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations, Applied Mathematics and Computation, 2014, 243:454-464.

　　16. Shi Dongyang, Guan Hongbo, Gong Wei. High accuracy analysis of the characteristic-nonconforming FEM for a convection-dominated transport problem, Mathematical Methods in the Applied Sciences, 2014, 37(8): 1130-1136.

　　17. Shi Dongyang, Xu Chao, Chen Jinhuan. Anisotropic Nonconforming EQ_1~rot Quadrilateral Finite Element Approximation to Second Order Elliptic Problems, Journal of Scientific Computing, 2013, 56(3):637-653.

　　18. Shi Dongyang, Zhou Jiaquan, Shi Dongwei. A new low order least squares nonconforming characteristics mixed finite element method For Burgers' equation, Applied Mathematics and Computation, 2013, 219(24):11302-11310.

　　19. Shi Dongyang, Yu Zhiyun. Superclose and superconvergence of finite element discretizations for the Stokes equations with damping, Applied Mathematics and Computation, 2013, 219(14):7693-7698.

　　20. Shi Dongyang, Pei Lifang. Nonconforming quadrilateral finite element method for a class of nonlinear sine–Gordon equations, Applied Mathematics and Computation, 2013, 219(17):9447-9460.

　　21. Shi Dongyang, Xu chao. EQ_1~rot nonconforming finite element approximation to Signorini problem, Science China Mathematics, 2013, 56(6):1301-1311.

　　22. Shi Dongyang, Zhang Ding. Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations, Journal of Computational Mathematics, 2013, 31(3): 271-282.

　　23. Shi Dongyang,Yu Zhiyun. Nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics, International Journal of Numerical Analysis and Modeling, 2013,10(4):904-919.

　　24. Shi Dongyang,Tang Qili. Superconvergence Analysis of Splitting Positive Definite Nonconforming Mixed Finite Element Method for Pseudo-hyperbolic Equations. Acta Mathematicae Applicatae Sinica, English Series, 2013, 29(4):843-854.

　　25. Shi Dongyang,Tang Qili. Nonconforming H 1-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equations, Numerical Functional Analysis and Optimization, 2013, 32(12): 1348-1369.

　　26. Shi dongyang, Pei lifang. Superconvergence of nonconforming finite element penalty scheme for Stokes problem using L2 projection method, Applied Mathematics and Mechanics, 2013,7:861-874.

　　27. Shi Dongyang, Xu Chao. An Anisotropic Locking-Free Nonconforming Triangular Finite Element Method for Planar Linear Elasticity Problem, Journal of Computational Mathematics, 2012, 30(2):124-138.

　　28. Shi Dongyang, Ren Jincheng, Gong Wei. Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem, Nonlinear Analysis: Theory, Methods and Applications, 2012, 75(8):3493-3502.

　　29. Shi Dongyang, Wang Caixia. A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems, International Journal of Computer Mathematics, 2011, 88(10):2167-2177.

　　30. Shi Dongyang, Zhang Yadong. High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations, Applied Mathematics and Computation, 2011, 218(7):3176-3186.

　　31. Shi Dongyang, Wang Lin. An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-differential equations, Journal of Systems Science and Complexity, 2011, 25(5):1020-1032.

　　32. Shi Dongyang, Gong Wei, Ren Jincheng. A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations, Mathematical and computer modelling, 2011, 53(9-10): 1956-1969.

　　33. Shi Dongyang, Zhang Buying. High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions, Journal of Systems Science and Complexity , 2011, 24(4):795-802.

　　34. Shi Dongyang, Ren Jincheng, Gong Wei.  A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations, Acta Mathematica Scientia, 2011, 31(2):367-382.

　　35. Shi Dongyang, Xie Pingli. Morley type non-C0 nonconforming rectangular plate finite elements on anisotropic meshes, Numerical Methods for Partial Differential Equations, 2010, 26(3):723-744.

　　36. Shi Dongyang, Zhang Buying. Nonconforming finite element method for nonlinear parabolic equations, Journal of Systems Science and Complexity ,2010, 23(2):395-402.

　　37. Shi Dongyang, Ren Jincheng. A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary Conduction-Convection problem, Nonlinear Analysis, 2010, 72(3-4): 1653-1667.

　　38. Shi Dongyang, Ren Jincheng. Nonconforming mixed finite element approximation to the stationary Navier–Stokes equations on anisotropic meshes, Nonlinear Analysis, 2009, 71(9):3842-3852.

　　39. Shi Dongyang, Liang Hui. Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes, Applied Mathematics and Computation, 2009, 212(1): 257-269.

　　40. Shi Dongyang, Ren Jincheng, Hao Xiaobin. A new second order nonconforming mixed finite element scheme for the stationary Stokes and Navier–Stokes equations, Applied Mathematics and Computation, 2009, 207(2):462-477.

　　41. Shi Dongyang, Gong Wei. A low order nonconforming anisotropic finite element approximation to parabolic problem, Journal of Systems Science and Complexity , 2009, 22(3): 518-532.

　　42. Shi Dongyang, Peng Yucheng, Chen  Shaochun. Error estimates for rotated Q(1)(rot) element approximation of the eigenvalue problem on anisotropic meshes, Applied Mathematics Letters, 2009, 22(6): 952-959.

　　43. Shi Dongyang, Pei Lifang. Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations, Applied Mathematics and Computation, 2009, 211(1):1-9.

　　44. Shi Dongyang, Wang Haihong, Du Yuepeng. An anisotropic nonconforming finite element method for approximating a class of nonlinear Sobolev equations, Journal of Computational Mathematics, 2009, 27(2-3): 299-314.

　　45. Shi Dongyang, Ren Jincheng. Nonconforming mixed finite element method for the stationary conduction-convection problem,International Journal of Numerical Analysis and Modeling, 2009, 6(2): 293-310.

　　46. Shi Dongyang Shi, Hao Xiaobin. Accuracy Analysis for Quasi-Carey Element, Journal of Systems Science and Complexity, 2008, 21(3):456-462.

　　47. Shi Dongyang, Xie Pingli, Yu Zhiyun. Superclose analysis of bicubic Hermite element on anisotropic meshes, Mathematica Numerica Sinica, 2008, 30(4):337-348.

　　48. Shi Dongyang , Pei Lifang. Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell's equations, International Journal of Numerical Analysis and Modeling, 2008, 5(3): 373-385.

　　49. Shi Dongyang, Shi Zhongci, Wu Jingzhu. A note on the quadrilateral mesh condition RDP (N, psi), Journal of Computational Mathematics, 2007, 25(1):27-30.

　　50. Shi Dongyang, Liang Hui, Wang Caixia. Superconvergence analysis of a nonconforming triangular element on anisotropic meshes, Journal of Systems Science and Complexity, 2007, 20(4): 536-544.

　　51. Shi Dongyang, Xie Pingli, Chen Shaochun. The nonconforming finite element approximation to hyperbolic intergrodifferential equations on anisotropic meshes, Acta Mathematicae Applicatae Sinica, 2007, 30(4): 654-666.

　　52. Shi Dongyang, Mao Shipeng, Chen Shaochun. A locking-free anisotropic nonconforming finite element for planar linear elasticity problem, Acta Mathematica Scientia , 2007, 27(1): 193-202.

　　53. Shi Dongyang, Mao Shipeng, Liang Hui. Anisotropic biquadratic element with superclose result, Journal of Systems Science and Complexity, 2006,19(4):566-576.

　　54. Shi Dongyang, Zhang Yiran. A nonconforming anisotropic finite element approximation with moving grids for Stokes problem, Journal of Computational Mathematics, 2006, 24(5):561-578.

　　55. Shi Dongyang, Mao Shipeng. Analysis of an anisotropic nonconforming mixed finite element for 3D Stokes problem, Acta Mathematicae Applicatae Sinica, 2006, 29(3): 502-517.

　　56. Shi Dongyang,Chen Shaochun, Hagiwara I. Convergence analysis for a nonconforming membrane element on anisotropic meshes, Journal of Computational Mathematics , 2005, 23(4):373-382.

　　57. Shi Dongyang, Zhu Huiqing. The superconvergence analysis of an anisotropic finite element, Journal of Systems Science and Complexity, 2005, 18(4):478-487.

　　58. Shi Dongyang, Chen Shaochun, Hagiwara I. Highly nonconforming finite element approximations for a fourth order variational inequality with curvature obstacle, Journal of Systems Science and Complexity, 2005, 18(1): 136-142.

　　59. Shi Dongyang, Mao Shipeng, Chen Shaochun. On the anisotropic accuracy analysis of ACM's nonconforming finite element, Journal of Computational Mathematics, 2005, 23(6):635-646.

　　60. Shi Dongyang, Liang Hui. Superconvergence analysis and extrapolation of a new unconventional Hermite-type anisotropic rectangular element, Mathematica Numerica Sinica, 2005, 27(4): 369-82.

　　61. Chen Shaochun, Shi Dongyang, Zhao Yongcheng. Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes, IMA Journal of Numerical Analysis, 2004, 24(1):77-95.

　　62. Shi Dongyang, Chen Shaochun. Quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle, Acta Mathematica Scientia 2003, 23(1):61-66.

　　63. Shi Dongyang, Chen Shaochun, Hagiwara I. General error estimates of the nonconforming finite elements for a fourth order variational inequality with displacement obstacle, Mathematica Numerica Sinica, 2003, 25(1):99-106.

　　64. Shi Dongyang, Chen Shaochun. Accuracy analysis of 12-parameter rectangular plate elements with geometric symmetry, Systems Science and Mathematical Science, 2000, 13(2):146.

　　65. Shi DongYang, Feng Weibing, Li Kaitai. Nonconforming finite element penalty method for stokes equation, Applied Mathematics-A Journal of Chinese Universities, 1998, 13(1):53-58.

　　66. Shi Dongyang, Chen Shaochun. A kind of improved Wilson arbitrary quadrilateral elements, Numerical Mathematics-Journal of Chinese Universities, 1994, 16(2):161-167.

　　获奖情况：

　　2000年河南省科技成果壹等奖。

　　2006年河南省第九届自然科学优秀学术论文壹、贰等奖。

　　2010年河南省第十届自然科学优秀学术论文壹、贰等奖。

　　2011年河南省首届自然科学学术奖-河南省自然科学优秀学术论文壹、贰等奖。

　　2013 年河南省第二届自然科学学术奖-河南省自然科学优秀学术论文壹、贰等奖。