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Recent Developments in Inverse Scattering Problems

发布时间:2020-12-03 作者: 浏览次数:
Speaker: 张波 DateTime: 2020年12月6日(周日)上午10:00-11:00
Brief Introduction to Speaker:

张波,中国科学院数学与系统科学研究院研究员。

Place: 腾讯会议(会议号请联系蒋代军老师索取)
Abstract:Inverse scattering problems arise in diverse areas of applications, such as radar and sonar detection, nondestructive testing, medical imaging and geophysical prospection. A model scattering problem is concerned with a given wave incident on a medium enclosed by a bounded domain. The direct problem is to determine the scattered field for the known scatterer, whilst the inverse problem is to determine the scatterer from the boundary measurements of the scattered field or the scattered far-field measurements. Mathematical issues and numerical solution of the inverse problem are challenging due to the strong nonlinearity and ill-posedness of the problem. In this talk, we will first introduce several inverse scattering problems of broad interest and then discuss briefly certain recent developments in the mathematical and computational studies of inverse scattering problems, including the recent results obtained in our group.