Simultaneous reconstruction of obstacle and impedance with near field measurements in inverse scattering problems
报告人:龚荣芳
报告地点:线上腾讯会议(会议ID:753-631-565)
报告时间:2026年10月14日星期三 19:00-20:00
邀请人:高忆先
报告摘要:
This talk is concerned with the simultaneous reconstruction of obstacle and spatially varying impedance with near field measurements by a regularized Gauss-Newton iterative inversion algorithm. The initial of the boundary is given by a sampling method with a modified indicator function. We extend a sampling method with respect to Dirichlet and Neumann boundary conditions to impedance boundary case. Theoretical analysis based on the factorization method and numerical experiments show that our method has excellent result on the reconstruction of the boundary. By extracting the points with large indicator values and clustering them to obtain the points near the exact boundary, the initial curve can be obtained by fitting. Then a sufficiently accurate iterative result is given starting from the fitted initial curve and a constant initial impedance.
主讲人简介:
龚荣芳,南京航空航天大学数学学院教授、博士生导师。研究领域为医学成像、数学物理反问题。主持国自然、江苏省自然等基金多项,在NM、IP、IPI、CMAME、JCM等期刊上发表SCI论文40篇。