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LI Jingzhi

Associate Professor  Associate Chair (Udergrad Teaching)

Research Interests: Computational and Applied Mathematics

Office: Block 3 Room 418, Wisdom Valley

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
◆ The Recruitment Program of Global Experts (Young Scholar Program), China, 2012
◆ Best Doctoral Dissertation Award, Mathematical Society of Hong Kong, 2011


Selected publications(*Corresponding author)


34. Li, J.; Liu, H. & Sun, H.

      On a gesture-computing technique using electromagnetic waves

      accepted by Inverse Problems and Imaging, 2018

33. Wang, G.; Ma, F.; Guo, Y. & Li, J.

      Solving the multi-frequency electromagnetic inverse source problem by the Fourier method

      accepted by Journal of Differential Equations, 2018

32. Zhang, K.; Li, J.*; He, Z. & Yan, W.

      Microgrid Energy Dispatching for Industrial Zones with Renewable Generations and Electric Vehicles via Stochastic

      Optimization and Learning,

      accepted by Physica A, 2018.

31. 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(10), 105009(19pp)

30. Li, X.; Li, J.; Liu, H. & Wang Y.

      Electromagenetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its

      applications to near cloaking

      IMA Journal of Applied Mathematics, 2017, 82, pp. 1013–1042.

29. Jiang, J.; Jiang X.; Li, J.*; Liu, Y. & Yan, W.

      Spatial Quantile Estimation of Multivariate Threshold Time Series Models

      Physica A, 2017, 486, pp. 772–781

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

      Recovering an  electromagnetic obstacle by a few phaseless backscattering measurements

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

27. 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

26. 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

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

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

24. 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

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

      Recovering multiscale buried anomalies in a two-layered medium

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

22. 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

21. Li, J. & Liu, H.,

      Recovering a convex polyhedral obstacle by a few backscattering measurements

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

20. 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.

19. 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.

18. 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.

17. 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

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

      Locating Multiple Multiscale Acoustic Scatterers,

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

15. 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

14. 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

13. Li, J., Liu, H. and Wang, Q.

      Multiscale one-shot method for inverse scattering problems

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

12. 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

11. 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

10. 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

9.  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

8.  Hiptmair, R., Li, J. and Zou, J.

      Real interpolation of spaces of differential forms

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

7.   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

6.  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

5.  Li, J., Xie, J. and Zou, J.

      An adaptive finite element reconstruction of distributed fluxes

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

4.  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

3.  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

2.  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

1.  Li, J. and Zou, J.

      A multilevel model correction method for parameter identification

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





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