讲座题目：Scattering by different kinds of inhomogeneous cavities

主办单位：三峡数学研究中心/理学院

报告专家：曲风龙教授（烟台大学）

报告时间：2024年3月12（周二）下午15:00-17:00

报告地点：腾讯会议（ID：533-438-425）

专家简介：曲风龙，烟台大学数学与信息科学学院，教授，博导。主要研究领域为反问题的数学理论与数值算法，获山东省自然科学奖二等奖1项，主持国家自然科学基金3项，山东省自然科学基金2项，山东省统计局重点项目1项，已在SIAM J. Sci. Comput.、SIAM J. Imaging. Sci.、Inverse Problems、Inverse Probl. Imaging、J. Inverse Ill-Pose. P.、J. Comput. Math.、Commun. Math. Sci.、Math. Method. Appl. Sci.等杂志发表学术论文25篇。

报告摘要：In this talk I will introduce the inverse problem of scattering of time-harmonic acoustic waves by different kinds of inhomogeneous cavities. Some uniqueness results will be provided for the determination of the inhomogeneous cavities by measurements corresponding to many incident point sources. Then the factorization method and an approximate factorization method are proved to be valid in reconstructing the inhomogeneous cavities by using the same measurements. Finally, we carry out several numerical examples to illustrate the practicability of the inversion algorithm.