长沙理工大学杏彩官网注册地址查询杏彩官网注册地址查询

报告承办单位 : pg电子官网入口平台

报告题目 : An inverse acoustic-elastic interaction problem with phased or phaseless far-field data

报告内容: This talk  concerns an inverse acoustic-elastic interaction problem, which is to determine the location and shape of the elastic obstacle by using either the phased or phaseless far-field data. By introducing the Helmholtz decomposition, the model problem is reduced to a coupled boundary value problem of the Helmholtz equations. The jump relations are studied for the second derivatives of the single-layer potential to establish the corresponding boundary integral equations. The well-posedness is discussed for the coupled boundary integral equations. An efficient and high order Nystr ö m-type discretization method is proposed for the integral system. For the phaseless inverse problem , we show that the modulus of the far-field pattern is invariant under a translation of the obstacle. To break the translation invariance, an elastic reference ball technique is introduced. We prove that the inverse problem with phaseless far-field pattern has a unique solution under certain conditions. In addition, a reference ball technique based nonlinear integral equations is also proposed for the phaseless inverse problem. Numerical experiments are provided to demonstrate the effectiveness and robustness of the proposed methods.

报告人姓名 :杏彩官网注册地址查询

报告人所在单位 : 吉林大学数学学院

报告人职称/职务及杏彩官网注册地址查询头衔 : 杏彩官网注册地址查询

报告时间 : 2020年 10 月 30 日 9:10 － 9:50

报告地点 : 理科楼 A-419

报告人简介 : 杏彩官网注册地址查询杏彩官网注册地址查询，2008年获吉林大学博士学位。主要研究方向是散射与反散射问题的数值方法与理论分析，近两年针对声波和弹性波的 phaseless 反散射问题提出了基于参考球的非线性积分方程方法，相关研究结果发表在《 Inverse Problems 》，《 SIAM. J. Imaging Sci. 》，《 Inverse Problems and Imaging 》等杏彩官网注册地址查询期刊上。目前，正在主持国家自然科学基金青年科学基金项目 1 项。 2020 年，获得“天元东北中心优秀青年学者奖励计划”资助。