Faculty
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
Jan. 2020 - present, Professor, Department of Mathematics, Southern University of Science and Technology
June 2012 - Dec. 2019, 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
◆ Career Award, Shenzhen, 2021
◆ Excellent Mentor Award, Shude Residential College, SUSTech, 2020
◆ Dual-excellence Award, Faculty of Science, SUSTech, 2020
◆ Highlight Award, Faculty of Science, SUSTech, 2019
◆ 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）
49. Klibanov, M., Li, J.* & Zhang, W.
A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation,
SIAM Journal on Scientific Computing, 2022, accepted.
48. Chen, H., Li, J. & Qiu, Weifeng
A C^0 Interior penalty method for mth-Laplace equation,
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, accepted.
47. Ma, Y, Ma, F., Guo, Y, & Li, J.*
Computation of transmission eigenvalues by the regularized Schur complement for the boundary integral operators,
CSIAM Transactions on Applied Mathematics, 2022, accepted.
46. Cai, J., Li, J., Lu, X. & You, J.,
Sparse signal recovery from phaseless measurements via hard thresholding pursuit,
Applied and Computational Harmonic Analysis, 2022, 56, pp. 367–390.
45. Li, J.; Liu, H. & Ma, S.,
Determining a random schroedinger operator: both potential and source are random,
Communications in Mathematical Physics, 2021, 381, pp. 527–556.
44. Klibanov, M. V., Li, J.* & Zhang, W.,
Linear Lavrent’ev integral equation for the numerical solution of a nonlinear coefficient inverse problem,
SIAM Journal on Applied Mathematics, 2021, 81, pp. 1954-1978.
43. Xu, L.; Li, J.* & Chen, R.
A scalable parallel unstructured finite volume lattice Boltzmann method for three-dimensional incompressible flow simulations,
International Journal for Numerical Methods in Fluids, 2021, 93, pp. 2744–2762.
42. Li M.; Zhu L.; Li, J.*, Zhang K.,
Design optimization of interconnected porous structures using extended triply periodic minimal surfaces,
Journal of Computational Physics, 2021, 425, 109909 (24pp).
41. Zhang, D.; Wang, Y.; Guo, Y. & Li, J.*,
Uniqueness in inverse cavity scattering problems with phaseless near-field data,
Inverse Problems, 2020, 36, 025004 (10pp).
40. Hu, G. & Li, J.*,
Inverse source problems in an inhomogeneous medium with a single far-field pattern,
SIAM Journal on Mathematical Analysis, 2020, 52, pp. 5213-5231.
39. Klibanov, M. V.; Li, J.* & Zhang, W.,
Convexification for an inverse parabolic problem,
Inverse Problems, 2020, 36, 085008 (32pp).
38. Li, J.; Liu, H. & Sun, H.,
On an inverse elastic wave imaging scheme for nearly incompressible materials,
IMA Journal of Applied Mathematics, 2019, 84, pp. 229-257.
37. Li, J.; Liu, H. & Ma, S.,
Determining a random schroedinger equation with unknown source and potential,
SIAM Journal on Mathematical Analysis, 2019, 51, pp. 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 (33pp).
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, 2019, 79, pp. 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, pp. 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, pp. 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 (21pp).
31. Hiptmair, R. & Li, J.*,
Shape derivatives for scattering problems,
Inverse Problems, 2018, 34, 105001 (25pp).
30. Li, X.; Li, J.; Liu, H. & Wang, Y.,
Electromagnetic 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. 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 (19pp).
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 Journal of Numerical Analysis, 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., & 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., & 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-fielded pattern,
Journal of Differential Equations, 2014, 257, pp. 469-489.
16. Li, J.; Liu, H. & Zou, J.,
Locating multiple multiscale acoustic scatterers,
Multiscale Modeling and Simulations, 2014, 12, pp. 927-952.
15. Li, J., Liu, H. & 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. & 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. & Wang, Q.,
Multiscale one-shot method for inverse scattering problems,
SIAM Journal on Imaging Sciences, 2013, 6, pp. 2285-2309.
12. Harbrecht, H. & 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. & Li, J.*,
Shape derivatives in differential forms I: an intrinsic perspective,
Annali di Matematica Puraed Applicata, 2013, 192, pp. 1077-1098.
10. Hiptmair, R., Li, J.* & 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. & 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. & Zou, J.,
Real interpolation of spaces of differential forms,
Mathematische Zeitschrift, 2012, 270(1), pp. 395-402.
7. Li, J., Liu, H. & 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. & Zou, J.,
Reconstructing acoustic obstacles by planar and cylindrical waves,
Journal of Mathematical Physics, 2012, 53(10), 103705 (19pp), Selected as Cover article.
5. Li, J., Xie, J. & 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. & 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. & 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. & Zou, J.,
Multilevel linear sampling method for inverse scattering problems,
SIAM Journal on Scientific Computing, 2008, 30(3), pp. 1228-1250.
1. Li, J. & Zou, J.,
A multilevel model correction method for parameter identification,
Inverse Problems, 2007, 23(5), pp. 1759-1786.