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李景治

副教授  数学系副主任(教学与本科生事务)

方向:计算与应用数学

办公室:慧园3栋418

研究领域


◆ 科学计算
◆ 有限元方法
◆ 反问题理论与计算方法
◆ 形状优化与微分形式统一理论
◆ 计算金融


教育背景


◆ 2009年,香港中文大学,数学系,应用数学哲学博士学位;

◆ 2004年,武汉大学,计算机学院,计算机科学硕士学位;

◆ 2001年,武汉大学,数学与统计学院,数学学士学位。


工作经历


◆ 2012年6月至今,南方科技大学,数学系,副教授;

◆ 2011年9月至2012年5月,中国科学院,深圳先进技术研究院,助理研究员;

◆ 2009年9月至2011年8月,苏黎世联邦理工大学,数学系,博士后;

◆ 2004年9月至2009年8月,香港中文大学,助教。


荣誉与获奖


◆ 2016年,南方科技大学,“优秀科研奖”

◆ 2016年,南方科技大学,“优秀导师奖”

◆ 2013年,入选深圳市海外高层次人才“孔雀计划”(B类)

◆ 2011年,香港数学会,最佳博士论文奖


代表著作(*通讯作者)



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

      Shape derivatives for scattering problems

      Inverse Problems, 2018, 34, 105001

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

      On an inverse elastic wave imaging scheme for nearly incompressible materials

      accepted by IMA J. on Appl. Math., 2018

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

      Retrieval of acoustic sources from multi-frequency phaseless data

      Inverse Problems, 2018, 34, 094001

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

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

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



招聘公告:

南方科技大学李景治老师课题组诚聘访问学生若干名,从事科研及相关工作,薪酬待遇面议。有意者请发简历至邮箱lijz@sustc.edu.cn



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