报告承办单位: 数学与统计学院

报告题目:  An accelerated level-set method for inverse scattering problems.

报告内容:  In this talk, we propose a rapid and robust iterative algorithm to solve inverse acoustic scattering problems formulated as a PDE constrained shape optimization problem. We use a level-set method to represent the obstacle geometry and propose a new scheme for updating the geometry based on an adaptation of  accelerated gradient descent methods. The resulting algorithm aims at reducing the number of iterations and improving the accuracy of reconstructions.  To cope with regularization issues, we propose the use of a smoothing to the shape gradient using a single layer potential associated with ik where k is the wave number. Numerical experiments are given for several data types (full aperture, backscattering, phaseless, multiple frequencies) and show that our method outperforms a non accelerated approach in terms of convergence speed, accuracy and sensitivity to initial guesses.

报告人姓名:  刘晓莉

报告人所在单位: 巴黎综合理工大学

报告人职称/职务及学术头衔:    博士后

报告时间:  2021年11月25日16:20－17:00

报告方式: 腾讯会议ID: 838 2530 8952

报告人简介:  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.、SIAM J. Imaging Sci.、Inverse Problems等杂志发表多篇学术论文。