Prof. Jun ZOU

Chairman & Choh-Ming Li Professor of Mathematics
BSc (Jiangxi University)
MSc (Wuhan University)
PhD (Chinese Academy of Science)


Prof. Jun ZOU

Address:
Room 224, Lady Shaw Building,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong

Tel:
(852) 3943 7967



Fields of Interest:
Numerical Solutions of Electromagnetic Maxwell Systems, Numerical Solutions of Interface Problems, Ill-posed Problems, Inverse Problems, Preconditioned Iterative Methods and Domain Decomposition Methods

Selected Publications:
  1. (with Zhiming Chen and Wenlong Zhang)
    Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems.
    SIAM J. Numer. Anal. 60 (2022), 751-780. (PDF file)
  2. (with Yat Tin Chow and Fuqun Han)
    A direct sampling method for the inversion of the Radon transform.
    SIAM J. Imaging Sci. 14 (2021), 1004-1038. (PDF file)
  3. (with Yat Tin Chow and Fuqun Han) A direct sampling method for simultaneously recovering inhomogeneous inclusions of different nature.
    SIAM J. Sci. Comput. 43 (2021), A2161-A2189. (PDF file)
  4. (with Habib Ammari and Bowen Li)
    Superresolution in recovering embedded electromagnetic sources in high contrast media.
    SIAM J. Imag. Sci. 13 (2020), 1467-1510. (PDF file)
  5. (wth Haijun Wu) Finite element method and its analysis for a nonlinear Helmholtz equation with high wave numbers.
    SIAM J. Numer. Anal. 56 (2018), 1338-1359. (PDF file)
  6. (with Patrick Ciarlet, Jr. and Haijun Wu) Edge element methods for Maxwell's equations with strong convergence for Gauss' laws.
    SIAM J. Numer. Anal. 52 (2014), 779-807. (PDF file)
  7. (with Hongyu Liu and Masahiro Yamamoto) Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering.
    Inverse Problems 23 (2007), 2357-2366. (PDF file)
  8. (with R. Hiptmair and G. Widmer) Auxiliary space preconditioning in $H_0(curl;\Omega)$.
    Numerische Mathematik 103 (2006), 435-459. (PDF file)
  9. (with Qiya Hu) A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions.
    SIAM J. Numer. Anal. 41 (2003), 1682-1708. (PDF file)
  10. (with Eric T. Chung and Qiang Du) Convergence analysis of a finite volume method for Maxwell's equations in nonhomogeneous media.
    SIAM J. Numer. Anal. 41 (2003), 37-63. (PDF file)
  11. (with Qiya Hu) An iterative method with variable relaxation parameters for saddle-point problems.
    SIAM J. Matrix Anal. Appl. 23 (2001), 317-338. (PDF file)
  12. (with Heinz W. Engl) A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction.
    Inverse Problems 16 (2000), 1907-1923. (PDF file)
  13. (with Z. Chen and Q. Du) Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients.
    SIAM J. Numer. Anal. 37 (2000), 1542-1570. (PDF file)
  14. (with P. Ciarlet) Fully discrete finite element approaches for time-dependent Maxwell's equations.
    Numerische Mathematik 82 (1999), 193-219. (PDF file)
  15. (with Z. Chen) An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems.
    SIAM J. Control Optim. 37 (1999), 892-910. (PDF file)
  16. (with J. Xu) Some nonoverlapping domain decomposition methods.
    SIAM Review 40 (1998), 857-914. (PDF file)
  17. (with Z. Chen) Finite element methods and their convergence for elliptic and parabolic interface problems.
    Numerische Mathematik 79 (1998), 175-202. (PDF file)
  18. (with T.F. Chan and B. Smith) Overlapping Schwarz methods on unstructublue meshes using non-matching coarse grids.
    Numerische Mathematik 73 (1996), 149-167. (PDF file)

Major Research Grants:
(as Principal Investigator)
  • Hong Kong RGC Earmarked Grant (CUHK338/96E).
  • Hong Kong RGC Earmarked Grant (CUHK4004/98E).
  • Germany/Hong Kong Joint Research Scheme Grant 1998-1999 (GHK99/05).
  • Hong Kong RGC Earmarked Grant (CUHK4292/00P).
  • France/Hong Kong Joint Research Scheme Grant 2000-2001 (F-HKB03/00).
  • Hong Kong RGC Earmarked Grant (CUHK4244/01P).
  • France/Hong Kong Joint Research Scheme Grant 2001-2002 (F-HKB03/01).
  • Hong Kong RGC Earmarked Grant (CUHK4048/02P).
  • Hong Kong RGC Earmarked Grant (project 403403).
  • Hong Kong RGC General Research Fund (project 404105).
  • Hong Kong RGC General Research Fund (project 404606).
  • Hong Kong RGC General Research Fund (project 404407).
  • Hong Kong RGC General Research Fund (project 405110).
  • Hong Kong RGC General Research Fund (project 404611).
  • Hong Kong RGC General Research Fund (project 405513).
  • Hong Kong RGC General Research Fund (project 14306814).
  • Hong Kong RGC General Research Fund (project 14322516).
  • Hong Kong RGC/NSFC Joint Scheme (project N-CUHK437/16).
  • Hong Kong RGC General Research Fund (project 14304517).
  • Hong Kong RGC General Research Fund (project 14306718).
  • Hong Kong RGC General Research Fund (project 14306719).

Honours and Awards:
  • Fellow, The American Mathematical Society (AMS), 2022
  • Fellow, The Society for Industrial and Applied Mathematics (SIAM), 2019.

Professional activities:
Associate editors of the journals

Courses

Course Code Course Title Academic Year Term
MATH3230A Numerical Analysis 2023/24 1