The factorization method for simultaneous reconstruction of a piecewise homogeneous medium and a buried object from near-field data
报告人:李建樑
报告地点:腾讯会议ID: 534187832
报告时间:2025年07月27日星期日16:30-17:30
邀请人:高忆先
报告摘要:
Consider the inverse acoustic scattering of time-harmonic point sources by a piecewise homogeneous medium with a buried object inside. Part of boundary of the piecewise homogeneous medium is assumed to be known, which allows us to construct an auxiliary Green’s function. Based on the Green’s function and an outgoing-to-incoming operator, we then propose the factorization method to simultaneously reconstruct both the rest of boundary of the piecewise homogeneous medium and the buried object inside from near-field data. Numerical experiments are presented to demonstrate the effectiveness of our inversion algorithm.
主讲人简介:
李建樑,湖南师范大学数学与统计学院教授,湖南省数学会理事,中国工业与应用数学学会反问题与成像专委会委员。2014年7月博士毕业于中国科学院数学与系统科学研究院应用数学所,2017年-2018年受国家留学基金委资助访问普渡大学数学系一年。主要研究领域为反散射问题的理论与数值方法、随机反散射问题的唯一性理论。在无穷曲面反散射问题的唯一性及数值方法,反随机源问题与反随机势问题的唯一性方面取得一系列成果。成果发表于SIAP、SIMA、SIIMS、MMS、IP、CPDE、JCP、IPI等期刊。主持国家自然科学基金面上项目、青年项目等多项。