Faculty Profile
Detailed information about our faculty member
Jingzh LI
Research Interests
◆ Scientific computing ◆ Finite element methods ◆ Inverse problems in mathematical physics ◆ Shape optimization in differential forms, ◆ Computational finance
Education Background
◆ 2009, Ph.D. in Applied Mathematics, Department of Mathematics, The Chinese University of Hong Kong
◆ 2004, M.S. in Computer Science, School of Computer Science, Wuhan University
◆ 2001, B.S. in Mathematics, School of Mathematics and Statistics, Wuhan University
Work Experience
◆ Jan. 2020 – Present, Professor, Department of Mathematics, Southern University of Science and Technology;
◆ Jun. 2012 – Dec. 2019, Associate Professor, Department of Mathematics, Southern University of Science and Technology;
◆ Sep. 2011 – May 2012, Assistant Researcher, Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences;
◆ Sep. 2009 – Aug. 2011, Postdoctoral Researcher, Department of Mathematics, ETH Zurich (Swiss Federal Institute of Technology Zurich);
◆ Sep. 2004 – Aug. 2009, Teaching Assistant, The Chinese University of Hong Kong。
Honors & Awards
◆ 2016, Outstanding Research Award, Southern University of Science and Technology
◆ 2016, Outstanding Mentor Award, Southern University of Science and Technology
◆ 2011, Best Ph.D. Thesis Award, Hong Kong Mathematical Society
Selected Representative Publications (Corresponding Author)
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Klibanov, M. V.; Li, J.* & Zhang, W.
Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data
Inverse Problems, 2019, 35, 035005
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Li, J.; Liu, H. & Wang, Y.
Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
Inverse Problems, 2017, 33, 035011 (20pp).
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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
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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
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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
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Jiang, X.; Li, J.*; Xia, T. & Yan, W. Robust and efficient estimation with weighted composite quantile regression
Physica A, 2016, 457, pp. 413-423
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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
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Li, J.; Li, P.; Liu, H. & Liu, X.,
Recovering multiscale buried anomalies in a two-layered medium
Inverse Problems, 2015, 31, 105006(26pp)
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Li, H.; Li, J. & Liu, H.,
On Quasi-static Cloaking Due to Anomalous Localized Resonance in R3
SIAM Journal on Applied Mathematics, 2015, 75, pp. 1245-1260
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Li, J. & Liu, H.,
Recovering a convex polyhedral obstacle by a few backscattering measurements
Journal of Differential Equations, 2015, 259, pp. 2101-2120
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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.
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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.
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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.
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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
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Li, J.; Liu, H. and Zou, J..
Locating Multiple Multiscale Acoustic Scatterers,
Multiscale Modeling and Simulations, 2014, 12, pp. 927-952
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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
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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
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Li, J., Liu, H. and Wang, Q.
Multiscale one-shot method for inverse scattering problems
SIAM Journal on Imaging Sciences, 2013, 6, 2285-2309
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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
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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
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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
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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
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Hiptmair, R., Li, J. and Zou, J.
Real interpolation of spaces of differential forms
Mathematische Zeitschrift, 2012, 270(1), pp. 395-402
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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
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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
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Li, J., Xie, J. and Zou, J.
An adaptive finite element reconstruction of distributed fluxes
Inverse Problems, 2011, 27(7), 075009 (25pp)
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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
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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
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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
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Li, J. and Zou, J.
A multilevel model correction method for parameter identification
Inverse Problems, 2007, 23(5), pp. 1759-1786