Wednesday, January 25, 2017 at 3:00 PM in SAS 4201
Fengjie Geng, School of Science, China University of Geosciences Fengjie Geng, School of Science, China University of Geosciences
Fengjie Geng, School of Science, China University of Geosciences
Bifurcations of Heterodimensional Cycles with two Hyperbolic Equilibrium Points
Wednesday, February 1, 2017 at 3:00 PM in SAS 4201
Dinh-Liem Nguyen, UNC CharlotteDinh-Liem Nguyen, UNC Charlotte
Dinh-Liem Nguyen, UNC Charlotte
Global reconstruction methods for nonlinear inverse scattering problems
This talk is about numerical methods for solving inverse problems arising from wave scattering. Potential applications of these problems include non-destructive testing, detection of explosives, medical imaging, geophysical prospection and radar. The major challenges in studying the numerical solution to these inverse problems are from the fact that the problems are highly nonlinear and ill-posed. The most developed approach in literature, which is nonlinear optimization schemes, typically requires good initial guesses for the solution since the objective functionals to minimize are in general not convex. However, such good initial guesses (or strong a-priori information of the solution) are not always available in many practical applications. The latter is the main reason for us to study global reconstruction methods, which do not rely on strong a-priori information of the solution, for nonlinear inverse problems. I will present in this talk my recent results for two kinds of global reconstruction methods. This first one aims to solve a coefficient inverse problem with single measurement and the second one is for a shape inverse problem for periodic structures.
Wednesday, April 12, 2017 at 3:00 PM in SAS 4201
Harbir Antil, George Mason UniversityHarbir Antil, George Mason University
Harbir Antil, George Mason University
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