Friday, September 16, 2011

Homepage of Jiguang Sun

           Dr. Jiguang Sun
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I no longer update this webpage. Please go to my new homepage at MTU:
http://www.math.mtu.edu/~jiguangs/

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Education:
  • Ph.D. Applied Mathematics, University of Delaware, 2005.
  • M.S. Computer Sciences, University of Delaware, 2005.
  • M.S. Applied Mathematics, University of Delaware, 2001.
  • B.S. Applied Mathematics, Tsinghua University, 1996.
Employment:
  • 2007 - Assistant Professor, Department of Mathematical Sciences, Delaware State University.
  • 2006 - 2007 PostDoc, Department of Mathematics and Statistics, University of North Carolina, Charlotte.
  • 2005 - 2006 Research Associate, Applied Mathematical Research Center, Delaware State University.
Grants and Awards:
  • PI: NSF DMS-1016092, 2010 - 2013.
  • Co-PI: DEPSCoR W911NF-07-1-0422, 2007-2010.
  • Merit Awards, Delaware State University, 2009, 2010, 2011.
  • Outstanding Poster Award, 1005th AMS Meeting, April 2005.
  • Excellent Student Awards, Tsinghua University, 1994, 1995.
Publications:
1. Some results on electromagnetic transmission eigenvalues, submitted. (with T. Turner and F. Zeng)
3. Finite element methods of Maxwell transmission eigenvalues, submitted. (with P. Monk)
4. A mixed finite element method for Helmholtz Transmission eigenvalues, ACM Transaction on Mathematical Softwares, accepted. (with X. Ji and T. Turner)
5. An inverse electromagnetic scattering problem for cavity, Inverse Problems, 27 (2011), 125002. (with F. Zeng and F. Cakoni)
6. A multistep reciprocity gap functional method for imaging of buried objects in layered medium, Complex Variables and Elliptic Equations. Volume 57 (2012), Issue 2-4, 261-276. (with F. Cakoni and M. Di Cristo)
7. Iterative methods for transmission eigenvalues, SIAM Journal on Numerical Analysis, Vol. 49 (2011), No. 5, 1860 -- 1874.
8. Estimation of Dirichlet and transmission eigenvalues by near field Linear Sampling Method, Proceedings of the 10th International Conference on the Mathematical and Numerical Aspects of Waves,  2011, 431 -- 434. (with F. Cakoni and D. Colton)
9. A coupled BEM and FEM for the interior transmission problem in acoustics, Journal of Computational and Applied Mathematics, Vol. 235 (2011), Iss. 17, 5213 -- 5221. (with G. Hsiao, L. Xu and F.Liu)
10. Partition of unity refinement for local approximations, Numerical Methods for Partial Differential Equations, Vol 27 (2011), Iss. 4, 803 -- 817. (with C. Bacuta and C. Zheng) 
12. Detection of periodic motions of visually obscured human beings using UWB radar,  Proceedings of the 4th International Conference on Environmental and Engineering Geophysics, June 2010, China, 642 -- 647. (with Z. Zeng, Y. Liu, T. Turner, F. Zeng, and F. Liu)
13. The inverse electromagnetic scattering problem for anisotropic media, Inverse Problems 26 (2010), 074004. (with F. Cakoni, D. Colton and P. Monk) 
14. A new family of high regularity elements. Numerical Methods for Partial Differential Equations, Volume 28 (2012), Issue 1, 1--16.
15. Analytical and computational methods for transmission eigenvalues, Inverse Problems Vol. 26 (2010) No. 4, 045011. (with D. Colton and P. Monk) 
16. Evaluation of scattering operators for semi-infinite periodic arrays, Communications in Mathematical Sciences, Vol. 7, Iss. 2, 2009, pp. 347 -- 364. (with M. Ehrhardt and C. Zheng) 
17. Notes on the Schwarz Alternating Method for Partition of Unity FEM, DCDIS A Supplement (S1), 2009, 15 -- 21. (with C. Bacuta) 
18. The adaptive chirplet transform and its application in GPR target detection, Applied Geophysics, Vol.6, No.2, 2009, 192 -- 200.(with Z. Zeng, F. Wu, L. Huang and F. Liu)
19. Numerical scattering analysis of TE plane waves by a metallic diffraction grating with local defects, J. Opt. Soc. Am. A, Vol. 26, Iss. 1, 2009, pp. 156 -- 162. (with C. Zheng)
20. A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media, Journal of Computational Physics, Vol. 227, 2008, 9933 -- 9954. (with W. Cai, X. Ji and S.H. Shao)
21. The very low-frequency step-frequency GPR system and its application to active fault detection, Near Surface Geophysics, Vol. 6, No. 3, 2008, 167 -- 172. (with Z. Zeng, L. Huang, S. Liu and F. Liu)
22. UXO and landmine detection by ground penetrating radar and character analysis, Discrete and Computational Mathematics, Nova Science, 2008, 139 -- 160 (with F. Liu, X. Shi, Z. Zeng and G. Zhang)
23. Inverse scattering using finite elements and gap reciprocity, Inverse Problems and Imaging, Vol. 1, NO. 4, 2007,643 -- 660. (with P. Monk)
24. The determination of the support and surface conductivity of a partially coated buried object, Inverse Problems Vol. 23, 2007, 1161-1179. (with M. Di Cristo)
25. Analysis of an eddy current and micromagnetic model, Applicable Analysis, Vol. 85, No. 12, 2006, 1509 -- 1525. (with P. Monk)
26. An inverse scattering problem for a partially coated buried obstacle, Inverse Problems, Vol. 22, No. 6, 2006, 2331 -- 2350. (with M. Di Cristo)
27. Partition of Unity Finite Element Method Implementation for Poisson Equation, Advances in Applied and Computational Mathematics, Nova Science, 2006, 35 -- 46. (with C. Bacuta)
28. An adaptive algebraic multigrid algorithm for micromagnetism, IEEE Transaction on Magnetics, Vol. 42, Iss. 6, 2006, 1643 -- 1647. (with P. Monk)
29. An eddy-current and micromagnetism model with applications to disk write heads, Int. J. Numer. Meth. Engng, Vol. 60, 2004, 1673 - 1698. (with F. Collino, P. Monk and L. Wang)
30. Numerical Analysis of Nonlinear Models of Ferromagnetic Materials, Ph.D. Thesis, University of Delaware, 2005.http://www.math.mtu.edu/~jiguangs/
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