个人简介 - 武汉大学数学与统计学院
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吕锡亮
  ==> 个人简介

我的个人主页: http://xllv.whu.edu.cn/chinese.html

我的email: xllv.math@whu.edu.cn

1.教育背景

2002 - 2006 Ph.D. 新加坡国立大学数学系

2000 - 2002 M.Sc. 新加坡国立大学数学系

1996 - 2000 B.Sc. 北京大学数学系

2.研究方向

我的研究主要集中于偏微分方程数值解,偏微分方程最优控制,反问题理论和计算,无穷维或非光滑优化,有限元分析以及计算流体力学。

3.工作经历

2010年7月-现在 副教授,武汉大学数学与统计学院

2007年8月- 2010年7月 博士后, RICAM, 奥地利

2007年1月- 2007年6月 访问学者, 马里兰大学数学系

 2006年9月- 2007年1月 博士后, 新加坡国立大学数学系

 2006年2月- 2006年8月 研究助理, 新加坡国立大学数学系

 2003年7月- 2006年1月 教学助理, 新加坡国立大学数学系

 4.论文

 1. Ping Lin, Jianguo Liu and Xiliang Lu, Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation, SIAM J. Sci. Comput. 31 (2008), 398-419.

 2. Xiliang Lu, Ping Lin and Jianguo Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math. Comp. 77 (2008), 1467-1494.

 3. Xiliang Lu and Ping Lin, Error estimate of the nonconforming P1 finite element method for the penalized Navier-Stokes equations, Numer. Math. 115(2010), 261-287.

 4. Karl Kunisch, Kewei Liang, and Xiliang Lu Optimal Control for the Elliptic System with Polygonal State Constraints, SIAM J. Control Optim, 48(2010), 5053-5072 .

 5. Karl Kunisch and Xiliang Lu, Optimal Control for Multi-phase Fluid Stokes Problems, Nonlinear Anal. TMA. 74(2011), 585-599.

 6. Bangti Jin and Xiliang Lu, Numerical Identification of a Robin Coefficient in Parabolic Problems. Math. Comp. 81 (2012), 1369-1398.

 7. Karl Kunisch and Xiliang Lu, Optimal control for an elliptic system with convex polygonal control constraints. IMA Numer. Anal. 33 (2013), 875-897.

 8. Karl Kunisch and Xiliang Lu, Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls. Math. Prog. 142 (2013), 461-483.

 9. Tao He, Xiliang Lu, Xiaoqun Wu, Jun-an Lu and WeiXing Zhen, Optimization-based Structure Identification of Complex Dynamical Networks. Physica A. 392 (2013), 1038-1049.

 10. Shuangbing Guo, Dingfang Li, Hui Feng and Xiliang Lu, Extremal Eigenvalues of the Sturm-Liouville Problems with Discontinuous Coefficients. Numer. Math. Theory, Method and Application. 6 (2013), pp. 657-684.

11. Zhifeng Weng, Jerry Zhijian Yang and Xiliang Lu, Two-level quadratic equal-order stabilized method for the Stokes eigenvalue problem, Int. J. Comput. Math. Accepted.

12. Qinian Jin and Xiliang Lu, A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces, Inverse Problems, 30, no. 4 (2014): 045012.

13. Matthias Gehre, Bangti Jin and Xiliang Lu, An analysis of finite element approximation in electrical impedance tomography, Inverse Problems, 30, no. 4 (2014): 045013.

14. Zhiyuan Sun, Yuling Jiao, Bangti Jin and Xiliang Lu, Numerical Identification of a Sparse Robin Coefficient, Adv. Comput. Math. Accepted.

15. Qibing Fan, Yuling Jiao, Xiliang Lu and Zhiyuan Sun, $L^q$ Regularization for Inverse Robin Problem, Journal of Inverse and Ill-Posed Problems, Accepted.

16. Yuling Jiao, Bangti Jin and Xiliang Lu, A Primal Dual Active Set with Continuation Algorithm for the $ell_0$-Regularized Optimization Problem, Applied and Computational Harmonic Analysis, Accepted.

17. Qibing Fan, Yuling Jiao and Xiliang Lu, A Primal Dual Active Set Algorithm with Continuation for Compressed Sensing, IEEE Transection on Signal Processing, 62 (2014), pp. 6276-6285.

18.Kewei Liang, Xiliang Lu and Jerry Zhijian Yang, Finite Element Approximation to the Extremal Eigenvalue Problem for Inhomogenous Materials, Numer. Math. Accepted.

 

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