Finite element methods
Inverse problems in mathematical physics
Shape optimization in differential forms,
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.
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
Excellent Research Award, SUSTech, 2016
Excellent Mentor Award, SUSTech, 2016
Best Doctoral Dissertation Award, Mathematical Society of Hong Kong, 2011
Selected publications（*Corresponding author）
35. Hao, Y.; Kang, F.; Li, J*. & Zhang K.
Computation of moments for Maxwell's equations with random interfaces via shape calculus and pivoted low-rank approximation
accepted by Journal of Computational Physics, 2018
34. Li, J.; Liu, H. & Sun, H.
On a gesture-computing technique using electromagnetic waves
Inverse Problems and Imaging, 2018, 12, 677-696
33. 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
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,
Physica A, 2018, 501, 356-369
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