学术科研-Co-recovery of an obstacle and its excitation sources from near-field scattering data

学术科研

Computational & Applied Math Seminar

Co-recovery of an obstacle and its excitation sources from near-field scattering data

演讲者：郭玉坤（哈尔滨工业大学）
时间：2022-08-31 15:00-16:00
地点：腾讯会议 ID 169-945-908，密码 220831

Abstract

This talk is concerned with the inverse acoustic scattering problem of simultaneously reconstructing an obstacle as well as the associated point sources from the total-field measurements. A novel sampling-optimization approach is proposed to recover the target obstacle and source. We first obtain an initial and qualitative imaging of the source locations and shape of the obstacle by the direct sampling method. Then the optimization method is utilized to quantitatively produce the final reconstruction. Theoretical analysis will be provided to justify the applicability of the proposed approach and several numerical examples will be presented to illustrate the effectiveness.

Short bio

郭玉坤，哈尔滨工业大学数学学院教授、博士生导师。本科和博士均毕业于吉林大学计算数学专业。研究领域为数学物理反问题，主要方向为波动方程反散射问题的数值分析与计算。在 Inverse Problems、Journal of Differential Equations和Journal of Computational Physics 等期刊发表学术论文三十余篇。曾应邀访问美国特拉华大学，德国威尔斯特拉斯应用数学研究所，香港浸会大学和南方科技大学等单位进行科研合作。