报告题目：Numerical studies of domain sampling methods for inverse boundary value problems by one measurement

报 告 人：王海兵，东南大学

报告摘要：We consider an inverse boundary value problem for the Laplace equation, which discusses the reconstruction of an unknown target inside the background medium from one boundary measurement. We are interested in two domain sampling methods, i.e., the range test and no-response test. We study the convergence and numerical realizations of these methods. Some new techniques are proposed to set up efficient algorithms, which yield reasonably good numerical reconstructions. To demonstrate the performance of proposed algorithms, we show several numerical examples for different shapes of unknown targets with noisy measurement data. Some key ingredients of numerical implementations are discussed in detail.

报告人简介：王海兵，东南大学数学学院教授，博士研究生导师，主要从事数学物理反问题的研究。2012年获得北海道大学和东南大学的理学博士学位。现任中国数学会计算数学分会常务理事。目前正主持一项国家自然科学基金面上项目，代表性研究成果发表于SIAM系列，IP, JDE, JCP等学术刊物。

报告时间：2023年4月17日15:00

报告地点：文渊楼B434

主办单位：伟德国际1946源自英国