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学术报告
学术报告
澳门新葡新京官方网站百年校庆澳门新葡新京系列学术报告之九十一 吉林大学董和平副教授报告通知
澳门新葡新京:蔡易??发布时间:2020-06-18?? 浏览次数:10

应澳门新葡新京郭玉坤副教授的邀请,吉林大学澳门新葡新京董和平副教授将于近日在我院做一场线上学术讲座。以下是报告信息,欢迎感兴趣的师生参加。

  

报告时间2020624日上午10:00-11:00

报告平台:Tencent会议,

点击链接直接加入会议:https://meeting.tencent.com/s/L74idr1rRqdu

会议ID812 894 313

报告题目Obstacle scattering and inverse scattering for elastic waves

报告摘要This talk concerns elastic obstacle scattering and inverse scattering problems. By introducing the Helmholtz decomposition, the model problem is reduced to a coupled boundary integral equation with hypersingular integral operators. For the direct problem, a semi-discrete and full-discrete schemes are proposed for the integral system in a framework of collocation method. We show the error estimates for both discrete schemes in Sobolev space and make a conclusion that the numerical solution of the integral system is exponentially convergent. Numerical experiments are presented to confirm our theoretical results. For the inverse problem, a relation is established between the compressional (or shear) far-field pattern and the corresponding far-field pattern for the coupled Helmholtz equations. The translation invariance of the phaseless compressional and shear far-field patterns are shown. In particular, a reference ball technique is introduced to the scattering system in order to break the translation invariance, which will enable us to determine the location and the shape of a rigid obstacle from the phaseless far-field data for a single incident plane wave. Numerical experiments are presented to demonstrate the effectiveness and robustness of the proposed method.

  

报告人概况:董和平副教授,吉林大学学士、博士(硕博联读),专业为计算数学。主要研究方向是散射与反散射问题的数值方法与分析,近两年针对声波和弹性波的phaseless障碍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》等学术期刊上。

  


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