学术报告：2021年 09月17日 08:30-09:30，西安交通大学-杨家青

杨家青

单   位

西安交通大学

报告时间

2021年9月17日

8:30至9:30

报告地点

腾讯会议号：

551 640 119

报告题目

On the Frechet derivative for acoustic scattering by locally rough surfaces

报告摘要

This talk is concerned with the existence and characterizations of the Frechet derivative of the solution to time-harmonic acoustic scattering problems with respect to locally rough surfaces. By proposing a special rough surface, the scattering problem is reduced to an equivalent boundary value problem with compactly supported boundary data. We then establish Frechet differentiability for the reduced problem under both Dirichlet and impedance boundary conditions, based on a factorization of the difference of the scattered solution for two different locally rough surfaces. With this result, we propose a Newton-type iteration algorithm for reconstructing the shape and location of the rough surface. Numerical results show the effectiveness of the inversion algorithm with using the multiple-frequency scattered data.

报告人简介

杨家青，西安交通大学数学与统计学院，教授。主要研究领域为反问题的数学理论与计算方法，在SIAM J. Appl. Math.、 SIAM J. Numer. Anal.、SIAM J.Imaging Sci.、IP、IPI等杂志发表论文近30篇学术论文。