报告人：赖俊（浙江大学）
报告时间：2026年3月23日（星期一）15:00-16:30
报告地点：科技楼南楼706室
报告摘要：Shape derivative is an important analytical tool for studying wave scattering problems involving perturbations in scatterers. Many applications, including inverse scattering, optimal design, and uncertainty quantification, are based on shape derivatives. However, computing high order shape derivatives is challenging due to the complexity of shape calculus. In this talk, we will introduce a comprehensive method for computing shape Taylor expansions using exterior calculus and recurrence formulas. The approach is applicable to both the acoustic and Maxwell equations under Dirichlet, Neumann, impedance, and transmission boundary conditions. Additionally, we apply the shape Taylor expansion to uncertainty quantification in wave scattering, enabling high order moment estimation for the scattered field under random boundary perturbations.
报告人简介：赖俊，浙江大学数学科学学院长聘教授，主要研究声波，电磁波及弹性波方程的散射与反散射问题，在数学知名杂志ACHA，SIAM系列，Inverse Problems等发表文章多篇。主持基金委面上、国家重点研发计划等项目，并参与基金委重大研究计划集成项目、基金委创新群体等研究。2023年第十三届全国计算数学年会和2025年国际应用反问题会议大会特邀报告人，2024 年获中国工业与应用数学学会“应用数学青年科技奖”，2025年入选国家级人才项目。
邀请人：王季红
