讲座主题：A time domain factorization method for obstacles with impedanceboundary conditions

专家姓名：刘晓莉

工作单位：巴黎综合理工大学

讲座时间：2021年10月26日 17:00-18:00

讲座地点：腾讯会议：757375919

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, we consider the inverse acoustic time domain scattering problem for absorbing scatterers modeled by impedance boundary conditions. We present and analyze a factorization method for reconstructing the obstacle boundary from far field measurements. The analysis is based on using the Laplace transform and proving the coercivity of the solution operator in suitable weighted spaces in time. This leads us to consider a modified far field operator parameterized by the imaginary part of Laplace variable which is different but can be arbitrarily close to the original far field operator. Some preliminary numerical examples are provided to test and discuss the effectiveness of the resulting inversion method when applied to the original far field operator.

主讲人介绍：

刘晓莉，巴黎综合理工大学，博士后。主要研究领域为波传播及其反问题的数值算法，在SIAM J. Appl. Math.、SIAMJ.Imaging Sci.、IP等杂志发表多篇学术论⽂。