报告题目：A highly efficient iterative approach for inverse acoustic obstacle scattering problems in three dimensions
报告人：董和平 教授（吉林大学）
邀请人：郑光辉
时间：2025年10月25日（周六）10:40--11:20
地点：数学院203报告厅
报告摘要：This talk concerns a three-dimensional inverse acoustic obstacle scattering problem from scattered field or phased/phaseless far-field data. Based on the boundary integral defined on a homothetic surface, we propose a highly efficient iterative approach for obstacle reconstruction that completely avoids dealing with any singularity. Here, the injectivity and dense-range property of the Fréchet derivative have been proved to ensure the solvability of the linearized equivalent data equation. We also prove that the scattered field generated by the homothetic surface can arbitrarily approximate the exact one. Numerical experiments are presented to verify the superiority and robustness of the proposed approach.
报告人简介：董和平教授，博士生导师，吉林大学计算数学专业。主要研究方向是散射与反散射问题的数学理论与计算方法，相关研究结果发表在Math. Comp.、J. Comput. Phys. 、Inverse Problems等学术期刊上。目前，主持国家自然科学基金面上项目1项，完成国家自然科学基金青年基金1项。
