数学学科Seminar第2870讲 随机结构散射与逆散射的先验界及重构方法

创建时间:  2025/06/12  邵奋芬   浏览次数:   返回

报告题目 (Title):A priori bounds and a reconstruction method for scattering and inverse scattering by random 

structures(随机结构散射与逆散射的先验界及重构方法)

报告人 (Speaker):林怡雯 副教授(上海交通大学)

报告时间 (Time):2025年6月13日(周五)9:30

报告地点 (Place):校本部GJ303

邀请人(Inviter):纪丽洁

主办部门:太阳集团tyc539数学系

摘要:In this talk, we will present a framework for the proof of a priori bounds explicitly with respect to frequencies for random surface scattering problems. By introducing a variable transform, the variational formulation in a random domain is reduced to that in a definite domain with random medium. Combining the stability result for the deterministic case, Pettis measurability theorem and Bochner’s Theorem further yield the stability for random scattering problems. Besides, an MCCUQ reconstruction method is proposed for solving the inverse random surface scattering problem. Numerical results will demonstrate the reliability and efficiency of the proposed method.

上一条:数学学科Seminar第2871讲 参数化流固耦合问题不确定性量化的降阶模型

下一条:数学学科Seminar第2869讲 关于Enochs的猜想


数学学科Seminar第2870讲 随机结构散射与逆散射的先验界及重构方法

创建时间:  2025/06/12  邵奋芬   浏览次数:   返回

报告题目 (Title):A priori bounds and a reconstruction method for scattering and inverse scattering by random 

structures(随机结构散射与逆散射的先验界及重构方法)

报告人 (Speaker):林怡雯 副教授(上海交通大学)

报告时间 (Time):2025年6月13日(周五)9:30

报告地点 (Place):校本部GJ303

邀请人(Inviter):纪丽洁

主办部门:太阳集团tyc539数学系

摘要:In this talk, we will present a framework for the proof of a priori bounds explicitly with respect to frequencies for random surface scattering problems. By introducing a variable transform, the variational formulation in a random domain is reduced to that in a definite domain with random medium. Combining the stability result for the deterministic case, Pettis measurability theorem and Bochner’s Theorem further yield the stability for random scattering problems. Besides, an MCCUQ reconstruction method is proposed for solving the inverse random surface scattering problem. Numerical results will demonstrate the reliability and efficiency of the proposed method.

上一条:数学学科Seminar第2871讲 参数化流固耦合问题不确定性量化的降阶模型

下一条:数学学科Seminar第2869讲 关于Enochs的猜想