*Professor *
College of Science, Department of Mathematics

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

◆ Jan. 2020 - present, Professor, Department of Mathematics, SUSTech

◆ June 2012 - Dec. 2019, Associate Professor, Department of Mathematics, SUSTech

◆ Sept. 2011 - May 2012, Assistant Professor, SIAT, Chinese Academy of Sciences

◆ Sept. 2009 - Aug. 2011, Postdoctoral fellow, SAM, D-MATH, ETH, Zurich

◆ Sept. 2004 - Aug.2009, TA, Department of Mathematics, Chinese University of HK

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

### Personal Profile

## Research

◆ Scientific computing

◆ Finite element methods

◆ Inverse problems in mathematical physics

◆ Shape optimization in differential forms,

◆ Computational finance

## Teaching

2020 Spring MA206 Mathematical Modeling

2020 Fall MA216 Computational Finance

## Publications Read More

37. Li, J.; Liu, H. & Ma, S.

Determining a random schr枚dinger equation with unknown source and potential

SIAM Journal on Mathematical Analysis, 2019, 51, 3465-3491

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

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

Inverse Problems, 2019, 35, 035005

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

Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium

SIAM Journal on Applied Mathematics, accepted, 2019, 79, 1722-1747

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

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

Journal of Differential Equations, 2018, 265, 417 - 443

33. Hao, Y.; Kang, F.; Li, J.* & Zhang, K.

Computation of moments for Maxwell's equations with random interfaces via pivoted low-rank approximation

Journal of Computational Physics, 2018, 371, 1 - 19

32. Zhang, D.; Guo, Y.; Li, J. & Liu, H.

Retrieval of acoustic sources from multi-frequency phaseless data

Inverse Problems, 2018, 34, 094001

31. Hiptmair, R. & Li, J.*

Shape derivatives for scattering problems

Inverse Problems, 2018, 34, 105001

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

On an inverse elastic wave imaging scheme for nearly incompressible materials

IMA Journal of Applied Mathematics, 2019, 84, 229-257

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

Recovering an electromagnetic obstacle by a few phaseless backscattering measurements

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

28. 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

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