报告人：李景治（南方科技大学）

时间：2021年4月30日14:00开始

地点：理科楼LA106

摘要:This talk is concerned with the inverse scattering problems of imaging unknown/inaccessible scatterers by transient acoustic near-field measurements. Based on the analysis of the migration method, we propose efficient and effective sampling schemes for imaging small and extended scatterers from knowledge of time-dependent scattered data due to incident impulsive point sources. Though the inverse scattering problems are known to be nonlinear and ill-posed, the proposed imaging algorithms are totally “direct” involving only integral calculations on the measurement surface. Theoretical justifications will be presented and numerical results will be shown to demonstrate the effectiveness and robustness of our methods.

This is a joint work with Dietmar Hömberg, Guanghui Hu, Jingzhi Li and Hongyu Liu.

简介:李景治，博士，南方科技大学数学系教授，多年来一直从事逆问题相关偏微分方程数值解法的研究，在计算数学的理论研究和数值模拟方面取得了一系列的研究成果。目前主要研究领域涉及到反问题理论与计算方法，形状优化与微分形式统一理论，科学计算，有限元方法。特别是发展了微分形式下的Stein延拓定理，并在数学物理反问题中的反演成像理论与算法方面做出重要贡献。

邀请人：曾芳

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