基本信息
郑伟英  男  博导  中国科学院数学与系统科学研究院
电子邮件: zwy@lsec.cc.ac.cn
通信地址: 北京2719信箱
邮政编码: 100190

研究领域

电磁场计算,磁流体力学,有限元方法
发表论文

Submitted:

  1. High-order numerical quadratures in a tetrahedron with an implicitly defined curved interface, with T. Cui, W. Leng, H. Liu, and L. Zhang, submitted, 2018.
  2. An adaptive finite element DtN method for Maxwell's equations in biperiodic structures, with X. Jiang, P. Li, J. Lv, Z. Wang, and H. Wu, submitted, 2018.
  3. On finite element method for incompressible MHD equations using magnetic vector potential, with L. Li, submitted, 2018. 
  4. Electron-conservative finite element method for inductionless MHD equations. Part I: the discrete scheme, with L. Li and M. Ni, submitted, 2018.
  5. Electron-conservative finite element method for inductionless MHD equations. Part II: the discrete solver, with L. Li and M. Ni, submitted, 2018.


Published:

  1.  Convergence of the PML solution for elastic wave scattering by biperiodic structures, with X. Jiang, P. Li, and J. Lv, to appear in Communications in Mathematical Sciences, 2018.

  2. A fully divergence-free finite element method for magnetohydrodynamic equations, with R. Hiptmair, L. Li, and S. Mao, Mathematical Models and Methods in Applied Sciences (M3AS), 28 (2018), 659-695.

  3. A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D, with L. Li, J. Comput. Phys., 351 (2017), 254-270.

  4. An adaptive finite element PML method for the elastic wave scattering problem in periodic structures, with X. Jiang, P. Li, and J. Lv, ESAIM: Math. Model. Numer. Anal. (M2AN), 51 (2017), 2017-2047.

  5. An adaptive finite element method for the wave scattering with transparent boundary condition, with X. Jiang, P. Li, and J. Lv, Journal of Scientific Computing, 72 (2017), 936-956.

  6. PML method for electromagnetic scattering problem in a two-layer medium, with Z. Chen, SIAM J. Numer. Anal., 55 (2017), 2050-2084.

  7. On the magneto-heat coupling model for large power transformers, with X. Li, S. Mao, and K. Yang, Comm. Comput. Phys., 22 (2017), 683-711.

  8. Maxwell's equations in an unbounded structure, with P. Li and G. Zheng, Mathematical Methods in the Applied Sciences, 40 (2017), 573-588.

  9. Anisotropic adaptive FEM for MHD flow at high Hartmann numbers, with J. Zhao and S. Mao, Applied Mathematics and Mechanics, 37 (2016), 1479-1500.

  10. The toolbox PHG and its applications, with L. Zhang et al, SCIENTIA SINICA, 10 (2016), 1442-1464.

  11. An adaptive FEM for a Maxwell interface problem, with H. Duan, S. Li, and R. Tan, Journal of Scientific Computing, 67(2016), 669-704.

  12. Eddy current model for nondestructive evaluation with thin cracks, with X. Jiang and P. Li, SIAM Journal on Scientific Computing, 38(2016), 973–996.

  13. An adaptive perfectly matched layer method for multiple cavity scattering problems, with X. Wu, Communications in Computational Physics, 19 (2016), 534-558.

  14. FEMAG: A High Performance Parallel Finite Element Toolbox for Electromagnetic Computations, with T. Cui and X. Jing, International Journal of Energy and Power Engineering, 5(2016), 57-64.

  15. Subspace correction method for computing magnetic shields in large power transformers, with X. Chen, IEEE Transactions on Magnetics, 51 (2015), Issue 5, DOI: 10.1109/TMAG.2014.2346741.

  16. Homogenization of quasi-static Maxwell's equations, with X. Jiang, Multiscal Modeling and Simulation: A SIAM Interdisciplinary Journal, 12(2014). pp. 152-180.

  17. An H-ψ formulation for the three-dimensional eddy current problem in laminated structures, with P. Li, Journal of Differential Equations, 254 (2013), pp. 3476-3500.

  18. Numerical solution of acoustic scattering by an adaptive DtN finite element method, with P. Li and X. Jiang, Communications in Computational Physics, 13 (2013), pp. 1227-1244.

  19. On hp-adpative  finite element methods for time-harmonic Maxwell's equations, with X. Jiang and L. Zhang, Communications in Computational Physics, 13 (2013), pp. 559-582. 

  20. A delta-regularization finite element method for a double curl problem with divergence-free constraint, with H. Duan, S. Li, and R. Tan, SIAM Journal on Numerical Analysis, 50 (2012), pp. 3208-3230.

  21. An overfilled cavity problem for Maxwell's equations, with P. Li and H. Wu, Mathematical Methods in the Applied Sciences, 35 (2012), pp. 1951-1979.

  22. An efficient eddy current model for nonlinear Maxwell equations with laminated conductors, with X. Jiang, SIAM Journal on Applied Mathematics, 72 (2012), pp. 1021-1040. 

  23. An Inner-Constrained Separation Technique for 3D Finite Element Modeling of GO Silicon Steel Laminations, with Z. Cheng, IEEE Transactions on Magnetics, Vol. 48, No. 8, 2012, pp. 2277-2283. 

  24. Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell's equations, with R. Hiptmair and H. Wu, Numerical Mathematics: Theory, Methods and Applications, 5 (2012), pp. 297-332. 

  25. Local multilevel methods for second-order elliptic problems with highly discontinuous coefficients, with H. Chen and X. Xu, Journal of Computational Mathematics, 30 (2012), pp. 223-248. 

  26. Adaptive uniaxial perfectly matched layer method for multiple scattering problems, with X. Jiang, Comput. Methods Appl. Mech. Engrg., 201 (2012), pp. 42-52. 

  27. Electromagnetic scattering by unbounded rough surfaces, with P. Li and H. Wu, SIAM J. Math. Anal., 43(2011), pp. 1205-1231. 

  28. Convergence of the uniaxial perfectly matched layer method for time-harmonic scattering problems in layered media, With Z. Chen, SIAM J. Numer. Anal., 48 (2010), pp. 2158-2185. 

  29. Local Multigrid in H(curl), with R. Hiptmair, J. Comp. Math., 27(2009), pp. 573-603. 

  30. Adaptive finite element frequency domain method for eddy current problems, with F. Zhang, Comput. Methods Appl. Mech. Engrg., 197 (2008), pp. 1233-1241. 

  31. An adaptive multilevel method for time-harmonic Maxwell equations with singularities, with Z. Chen and L. Wang, SIAM J. Sci. Comput., 29 (2007), pp. 118-138.

  32. An adaptive finite element method for the H--Ψ formulation of time-dependent eddy current problems, with Z. Chen and L. Wang, Numer. Math., 103(2006), pp. 667-689. 

  33. On Friedrichs-Poincaré-type inequalities, J. Math. Anal. Appl., 304(2005), pp. 542-551.

  34. On locking-free finite element scheme for three-dimensional elasticity, with Q. He and L.-h. Wang, J. Comp. Math., 23(2005), pp. 101-112. 

  35. Finite element approximations to the discrete spectrum of the Schrodinger operator with the Coulomb potential, with L. Ying, SIAM J. Numer. Anal., 42 (2004), pp. 49-74 . 

  36. Finite element calculations for the helium atom, with L. Ying, Int. J. Quantum Chem., 97(2004), pp. 659-669.

  37. Numerical solutions of the Schrodinger equation for the ground lithium by the finite element method, with L. Ying and P. Ding, Appl. Math. Comp., 153 (2004), pp. 685-695.

  38. The approximate energies of the 1S2P-states of the Helium by the finite element method, with L. Ying, Chinese J. Comp. Phys., 20 (2003), pp. 119--122. 

  39. Solving nonhomogenous Dirichlet boundary problems in Domain with curved boundaries by like Wilson element method, with S. Chen, Numer. Math. Sinica, 25 (2003), pp. 67--78. 

  40. ​The application of the Hylleraas-Breit transformation to the Schroedinger equations of helium-like atoms, Chinese Journal of Atomic and Molecular physics, 19 (2002), pp. 253--259.

招生信息

   
招生专业
070102-计算数学
招生方向
流体计算
电磁场计算
有限元方法

教育背景

1999-09--2002-07   北京大学   博士学位
1996-09--1999-07   郑州大学   硕士学位
1992-09--1996-07   郑州大学   学士学位

工作经历

   
工作简历
2013-03~现在, 中科院数学与系统科学研究院, 研究员
2007-03~2013-03,中科院数学与系统科学研究院, 副研究员
2004-06~2007-03,中科院数学与系统科学研究院, 助理研究员
2002-07~2004-06,中科院数学与系统科学研究院, 博士后
社会兼职
2016-07-01-今,中国工业与应用数学学会, 副秘书长
2011-06-30-2017-09-30,北京市计算数学学会, 副秘书长

教授课程

微积分I-B
微积分Ⅱ-B
微积分III-C
微积分Ⅱ-C
微积分I-C
计算电磁学

专利与奖励

(1) 2019年1月起任中科院数学与系统科学研究院 “冯康首席研究员”;

(2) 2017年获国家杰出青年科学基金资助;

(3) 2014年获中国科学院优秀研究生指导教师奖;

(4) 2014年获中科院数学与系统科学研究院突出科研成果奖。

基金项目


科研项目
( 1 ) 科学与工程计算的方法和应用(创新群体), 参与, 国家级, 2011-01--2013-12
( 2 ) 用户友好型高效数值方法研究及应用(自然科学基金重点项目), 参与, 国家级, 2011-01--2014-12
( 3 ) 并行自适应电磁场有限元计算算法及软件研究(自然科学基金面上项目), 参与, 国家级, 2009-01--2011-12
( 4 ) 三维磁流体力学方程组的高效数值方法和软件研究(国家专项、人才课题), 主持, 国家级, 2011-09--2014-08
( 5 ) 非线性Maxwell方程的自适应有限元方法研究及应用(自然科学基金面上项目), 主持, 国家级, 2012-01--2015-12
( 6 ) 流固耦合问题的并行数值模拟算法与应用(自然科学基金重点项目), 参与, 国家级, 2015-01--2018-12
( 7 ) 燃烧等离子体若干关键物理问题的模拟研究(国家专项), 参与, 国家级, 2015-01--2019-12
( 8 ) 高效能计算应用支撑软件框架体系研制(863子课题), 参与, 国家级, 2012-01--2015-12
( 9 ) 面向千万亿次计算机的并行算法库研制(863子课题), 参与, 国家级, 2010-12--2011-02
( 10 ) 高性能科学计算研究(973计划), 参与, 国家级, 2007-12--2010-11
( 11 ) 电磁学三维涡流问题的自适应多重网格方法(自然科学基金青年项目), 主持, 国家级, 2005-01--2007-12
( 12 ) 科学与工程计算的方法和应用(创新群体), 参与, 国家级, 2014-01--2016-12
( 13 ) 偏微分方程数值解(国家杰出青年科学基金), 主持, 国家级, 2018-01--2022-12
( 14 ) 复杂环境下大规模电磁场问题的新型计算方法及理论分析, 参与, 国家级, 2019-01--2023-12
参与会议
(1)A robust solver for stationary MHD equations   2017-12-06
(2)分层介质电磁散射的PML方法   上海市科学与工程计算方法研讨会   2017-11-18
(3)磁流体方程的守恒型有限元方法   第11届全国计算数学年会   2017-07-23
(4)分层介质电磁散射问题   2017-06-23
(5)Fully divergence-free FEM for 3D MHD equations   2017-06-01
(6)大型变压器的建模和计算   第十四届中国工业与应用数学大会   2016-08-12
(7)Perfectly matched layer method for electromagnetic scattering problems in layered media   2016-07-31
(8)Perfectly matched layer method for electromagnetic scattering problems in layered media   2016-05-30
(9)Perfectly matched layer method for electromagnetic scattering problems in layered media   第四届中巴科学计算会议   2015-09-21
(10)Mixed finite element method for incompressible MHD equations   第十七届全国流体力学数值方法研讨会   2015-08-19
(11)On eddy current model of nondestructive evaluation   2015-08-10
(12)Perfectly Matched Layer Method for Scattering Problems in Two-layer Media   2015-08-06
(13)Perfectly matched layer method for scattering problems in layered media   2015-05-25
(14)On eddy current model of nondestructive evaluation   2014-06-07
(15)Positivity-Preserving Discontinuous Galerkin Method for Ideal MHD Equations   2013-12-16
(16)Modeling and computation of multiscale eddy current problems   第十二届全国高校计算数学年会   2013-10-19
(17)Homogenization of quasi-static Maxwell’s equations   2013-06-19
(18)Multiscale eddy current problems of Maxwell's equations   2013-01-07
(19)Multiscale eddy current problems of nonlinear Maxwell’s equations   2012-10-18
(20)Homogenization of quasi-static Maxwell’s equations   2012-07-21
(21)Finite element computations for nonlinear eddy current problems   2012-02-06
(22)Efficient finite element modeling for 3D eddy currents in GO silicon steel laminations   2011-12-05
(23)Finite element computations for nonlinear eddy current problems   2011-10-22
(24)Finite element computations for electromagnetic problems   2011年度北京计算数学学术交流会   2011-08-27
(25)Finite element computations for nonlinear eddy current problems   2011-07-18
(26)Adaptive multigrid method for Maxwell's equations   2010-07-15
(27)UPML method for the Helmholtz equation in layered media   2010-05-24
(28)UPML method for the Helmholtz equation in layered media   2009-09-28
(29)Adaptive multigrid method for Maxwell's equations   2009-08-28
(30)Adaptive multigrid method for Maxwell's equations   2009-06-25
(31)UPML method for the Helmholtz equation in layered media   2009-05-25
(32)UPML method for the Helmholtz equation in layered media   2009-03-02
(33)An adaptive multilevel method for time-harmonic Maxwell equations with singularities   2007-07-16
(34)Adaptive finite element method for eddy current problems   2006-07-23
(35)An adaptive multilevel method for time-harmonic Maxwell equations with singularities   2006-07-03
(36)Adaptive finite element method for eddy current problems   2005-11-12

指导学生

已指导学生

杨康康  硕士研究生  070102-计算数学  

江雪  博士研究生  070102-计算数学  

陈新红  博士研究生  070102-计算数学  

李旭静  博士研究生  070102-计算数学  

李凌霄  博士研究生  070102-计算数学  

王琳  博士研究生  070102-计算数学  

现指导学生

段晓琦  博士研究生  070102-计算数学  

龙晓念  博士研究生  070102-计算数学  

马楚雯  硕士研究生  070102-计算数学  

张东航  博士研究生  070102-计算数学  

丁倩倩  博士研究生  070102-计算数学  

朱笑朋  硕士研究生  070102-计算数学  

姜姗  博士研究生  070102-计算数学  

张晓迪  博士研究生  070102-计算数学