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Department of Mathematics

Home > Faculty > Browse by School/Department > Department of Mathematics > LI Jingzhi

Faculty

LI Jingzhi


Associate Professor

Associate Head (Teaching)

Department of Mathematics

Block 3 Room 418, Wisdom Valley

lijz@sustc.edu.cn

Research interests

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

 

Education

◆ PhD in Applied and Computational Mathematics, Chinese University of Hong Kong, 2009;
◆ MS in Computer Science, Wuhan University, 2004;
◆ BS in Mathematics, Wuhan University, 2001.

 

Professional Appointments

◆ June 2012  - present, Associate Professor, Department of Mathematics, Southern University of Science and Technology
◆ Sept. 2011 - May 2012, Assistant Professor, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences
◆ Sept. 2009 - Aug. 2011, Postdoctoral fellow, SAM, D-MATH, ETH, Zurich
◆ Sept. 2004 - Aug.2009, Teaching assistant, Department of Mathematics, Chinese University of Hong Kong

 

Honors & Awards

◆ Excellent Research Award, SUSTech, 2016
◆ Excellent Mentor Award, SUSTech, 2016
◆ Peacock Award (Tier B), Shenzhen, 2013
◆ Best Doctoral Dissertation Award, Mathematical Society of Hong Kong, 2011

 

Selected publications(*Corresponding author)

 

 

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

    Recovering an  electromagnetic obstacle by a few phaseless backscattering measurements

    Inverse  Problems, 2017, in press.

2. 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

3. 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

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

    Physica A, 2016, 457, pp. 413-423

5. 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

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

    Recovering multiscale buried anomalies in a two-layered medium

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

7. Li, H.; Li, J. & Liu, H.,

    On Quasi-static Cloaking Due to Anomalous Localized Resonance in $R^3$

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

8. Li, J. & Liu, H.,

    Recovering a convex polyhedral obstacle by a few backscattering measurements

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

9. 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.

10. 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.

11. 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.

12. 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

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

      Locating Multiple Multiscale Acoustic Scatterers,

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

14. 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

15. 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

16. Li, J., Liu, H. and Wang, Q.

      Multiscale one-shot method for inverse scattering problems

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

17. 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

18. 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

19. 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

20. 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

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

      Real interpolation of spaces of differential forms

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

22.  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

23. 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

24. Li, J., Xie, J. and Zou, J.

      An adaptive finite element reconstruction of distributed fluxes

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

25. 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

26. 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

27. 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

28. Li, J. and Zou, J.

      A multilevel model correction method for parameter identification

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

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

24.   Li, J. and Zou, J.

A multilevel model correction method for parameter identification

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

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