报告题目：A direct imaging method for the exterior and interior inverse scattering problems
报告人：张德悦 教授（吉林大学）
时间：2022/4/19 (周二) 15:00-16:00
腾讯会议：693-807-095 （无密码）
邀请人：郑光辉
报告摘要：This paper is concerned with the inverse acoustic scattering problems by an obstacle or a cavity with a sound-soft or a sound-hard boundary. A direct imaging method relying on the boundary conditions is proposed for reconstructing the shape of the obstacle or cavity. First, the scattered fifields are approximated by the Fourier-Bessel functions with the measurements on a closed curve. Then, the indicator functions are established by the superpositions of the total fifields or their derivatives to the incident point sources. We prove that the indicator functions vanish only on the boundary of the obstacle or cavity. Numerical examples are also included to demonstrate the effffectiveness of the method.
报告人简介：张德悦，吉林大学数学学院教授、博士生导师，1998年毕业于吉林大学数学学院信息与计算科学专业，获学士学位，2004年毕业于吉林大学数学研究所计算数学专业，获理学博士学位。目前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。已在“Inverse Problems”、“Advances in Computational Mathematics”等期刊发表40 多篇SCI 学术论文，其中2 篇论文入选反问题领域国际著名期刊“Inverse Problems”的年度“亮点论文”。主持国家自然科学基金面上项目两项，参与国家自然科学基金项目三项。
