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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)

◆ 2012年,入选中组部“千人计划”(青年项目,第二批

◆ 2011年,香港数学会,最佳博士论文奖


代表著作(*通讯作者)



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

    Recovering an  electromagnetic obstacle by a few phaseless backscattering measurements

    Inverse  Problems, 2017, in press.

2. 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

3. 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

4. Jiang, X.; Li, J.*; Xia, T. & Yan, W.
    Robust and efficient estimation with weighted composite quantile regression

    Physica A, 2016, 457, pp. 413-423

5. 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

6. Li, J.; Li, P.; Liu, H. & Liu, X.,

    Recovering multiscale buried anomalies in a two-layered medium

    Inverse Problems, 2015, 31, 105006(26pp)

7. 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

8. Li, J. & Liu, H.,

    Recovering a convex polyhedral obstacle by a few backscattering measurements

    Journal of Differential Equations, 2015, 259, pp. 2101-2120

9. 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.

10. 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.

11. 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.

12. 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

13. Li, J.; Liu, H. and Zou, J..

      Locating Multiple Multiscale Acoustic Scatterers,

      Multiscale Modeling and Simulations, 2014, 12, pp. 927-952

14. 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

15. 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

16. Li, J., Liu, H. and Wang, Q.

      Multiscale one-shot method for inverse scattering problems

      SIAM Journal on Imaging Sciences, 2013, 6, 2285-2309

17. 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

18. 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

19. 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

20. 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

21. Hiptmair, R., Li, J. and Zou, J.

      Real interpolation of spaces of differential forms

      Mathematische Zeitschrift, 2012, 270(1), pp. 395-402

22.  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

23. 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

24. Li, J., Xie, J. and Zou, J.

      An adaptive finite element reconstruction of distributed fluxes

      Inverse Problems, 2011, 27(7), 075009 (25pp)

25. 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

26. 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

27. 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

28. Li, J. and Zou, J.

      A multilevel model correction method for parameter identification

      Inverse Problems, 2007, 23(5), pp. 1759-1786

教师简历:

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