講座主題：A time domain factorization method for obstacles with impedanceboundary conditions
專家姓名：劉曉莉
工作單位：巴黎綜合理工大學
講座時間：2021年10月26日 17:00-18:00
講座地點：騰訊會議：757375919
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
劉曉莉，巴黎綜合理工大學，博士后。主要研究領域為波傳播及其反問題的數值算法，在SIAM J. Appl. Math.、SIAMJ.Imaging Sci.、IP等雜志發表多篇學術論?。
