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Faculty Profile

Detailed information about our faculty member

Jingzh LI

Jingzh LI

Professor
someemail@sustech.edu.cn

Research Interests

◆ Scientific computing ◆ Finite element methods ◆ Inverse problems in mathematical physics ◆ Shape optimization in differential forms, ◆ Computational finance

Education Background

◆ 2009, Ph.D. in Applied Mathematics, Department of Mathematics, The Chinese University of Hong Kong

◆ 2004, M.S. in Computer Science, School of Computer Science, Wuhan University

◆ 2001, B.S. in Mathematics, School of Mathematics and Statistics, Wuhan University

Work Experience

◆ Jan. 2020 – Present, Professor, Department of Mathematics, Southern University of Science and Technology；

◆ Jun. 2012 – Dec. 2019, Associate Professor, Department of Mathematics, Southern University of Science and Technology；

◆ Sep. 2011 – May 2012, Assistant Researcher, Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences;

◆ Sep. 2009 – Aug. 2011, Postdoctoral Researcher, Department of Mathematics, ETH Zurich (Swiss Federal Institute of Technology Zurich);

◆ Sep. 2004 – Aug. 2009, Teaching Assistant, The Chinese University of Hong Kong。

Honors & Awards

◆ 2016, Outstanding Research Award, Southern University of Science and Technology

◆ 2016, Outstanding Mentor Award, Southern University of Science and Technology

◆ 2011, Best Ph.D. Thesis Award, Hong Kong Mathematical Society

Selected Representative Publications (Corresponding Author)

  1. Klibanov, M. V.; Li, J.* & Zhang, W.

    Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data

    Inverse Problems, 2019, 35, 035005

  2. Li, J.; Liu, H. & Wang, Y.

    Recovering an electromagnetic obstacle by a few phaseless backscattering measurements

    Inverse Problems, 2017, 33, 035011 (20pp).

  3. Wang, X.; Guo, Y.; Li, J. & Liu, H.

    Mathematical design of a novel input/instruction device using a moving acoustic emitter Inverse Problems, 2017, 33, 105009

  4. Wang, Q.; Hou, Y. & Li, J.*

    Numerical design of FSHL-based approximate cloaks with arbitrary shapes

    Journal of Computational Physics, 2017, 333, pp. 142 - 159

  5. Guo, Y.; Hoemberg, D.; Hu, G.; Li, J.* & Liu, H.

    A time domain sampling method for inverse acoustic scattering problems,

    Journal of Computational Physics , 2016, 314, pp. 647-660

  6. Jiang, X.; Li, J.*; Xia, T. & Yan, W. Robust and efficient estimation with weighted composite quantile regression

    Physica A, 2016, 457, pp. 413-423

  7. Chen, H.; Li, J. & Qiu, W.,

    Robust a posteriori error estimates for HDG method of convection-diffusion equations

    IMA Numer. Anal., 2016, 36, pp. 437-462

  8. Li, J.; Li, P.; Liu, H. & Liu, X.,

    Recovering multiscale buried anomalies in a two-layered medium

    Inverse Problems, 2015, 31, 105006(26pp)

  9. Li, H.; Li, J. & Liu, H.,

    On Quasi-static Cloaking Due to Anomalous Localized Resonance in R3

    SIAM Journal on Applied Mathematics, 2015, 75, pp. 1245-1260

  10. Li, J. & Liu, H.,

    Recovering a convex polyhedral obstacle by a few backscattering measurements

    Journal of Differential Equations, 2015, 259, pp. 2101-2120

  11. Li, J.; Liu, H.; Rondi, L. & Uhlmann, G

    Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak,

    Communications in Mathematical Physics, 2015, 335, pp. 671-712.

  12. Hu, G.; Li, J.* & Liu, H., and Sun H.

    Inverse Elastic Scattering for Multiscale Rigid Bodies with a Single Far-Field Pattern

    SIAM Journal on Imaging Sciences, 2014, 7, pp. 1799-1825.

  13. Li, J.* Liu, H., and Wang, Q.

    Ground Detection by A Single Electromagnetic Far-field Measurement

    Journal of Computational Physics, 2014, 273, pp. 472-487.

  14. Hu, G.; Li, J.* & Liu, H..

    Recovering complex elastic scatterers by a single far-fieldeld pattern

    Journal of Differential Equations, 2014, 257, pp. 469 - 489

  15. Li, J.; Liu, H. and Zou, J..

    Locating Multiple Multiscale Acoustic Scatterers,

    Multiscale Modeling and Simulations, 2014, 12, pp. 927-952

  16. Li, J., Liu, H. and Wang, Q.

    Enhanced multilevel linear sampling methods for inverse scattering problems

    Journal of Computational Physics, 2014, 257, pp. 554-571

  17. Li, J., Liu, H., Shang, Z. and Sun, H.

    Two Single-Shot Methods for Locating Multiple Electromagnetic Scatterers

    SIAM Journal on Applied Mathematics, 2013, 73(4), pp. 1721-1746

  18. Li, J., Liu, H. and Wang, Q.

    Multiscale one-shot method for inverse scattering problems

    SIAM Journal on Imaging Sciences, 2013, 6, 2285-2309

  19. Harbrecht, H. and Li, J.*

    First order second moment analysis for stochastic interface problems based on low-rank approximation

    ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47, pp. 1533-1552

  20. Hiptmair, R. and Li, J.

    Shape derivatives in differential forms I: an intrinsic perspective

    Annali di Matematica Puraed Applicata, Springer-Verlag, 2013, 192, 1077-1098

  21. Hiptmair, R., Li, J.* and Zou, J.

    Universal extension for Sobolev spaces of differential forms and applications

    Journal of Functional Analysis, 2012, 263(2), pp. 364-382

  22. Hiptmair, R., Li, J. and Zou, J.

    Convergence analysis of finite element methods for H(curl; Omega)-elliptic interface problems

    Numerische Mathematik, 2012, 122(3), pp. 557-578

  23. Hiptmair, R., Li, J. and Zou, J.

    Real interpolation of spaces of differential forms

    Mathematische Zeitschrift, 2012, 270(1), pp. 395-402

  24. Li, J., Liu, H. and Sun, H.

    Enhanced approximate cloaking by SH and FSH lining

    Inverse Problems, 2012, 28(7), 075011 (21pp), Selected as ''Insights'' article

  25. Li, J., Liu, H., Sun, H. and Zou, J.

    Reconstructing acoustic obstacles by planar and cylindrical waves

    Journal of Mathematical Physics, AIP, 2012, 53(10), 103705 (19pp), Selected as Cover article

  26. Li, J., Xie, J. and Zou, J.

    An adaptive finite element reconstruction of distributed fluxes

    Inverse Problems, 2011, 27(7), 075009 (25pp)

  27. Li, J., Melenk, J. M., Wohlmuth, B. and Zou, J.

    Optimal a priori estimates for higher order finite elements for elliptic interface problems

    Applied Numerical Mathematics, 2010, 60(1-2), pp. 19-37

  28. Li, J., Liu, H. and Zou, J.

    Strengthened linear sampling method with a reference ball

    SIAM Journal on Scientific Computing, 2009, 31(6), pp. 4013-4040

  29. Li, J., Liu, H. and Zou, J.

    Multilevel linear sampling method for inverse scattering problems

    SIAM Journal on Scientific Computing, 2008, 30(3), pp. 1228-1250

  30. Li, J. and Zou, J.

    A multilevel model correction method for parameter identification

    Inverse Problems, 2007, 23(5), pp. 1759-1786