報告題目：Numerical studies of domain sampling methods for inverse boundary value problems by one measurement
報 告 人：王海兵教授 單位名稱 東南大學
報告時間：2023年4 月13 日 14:00-15:00
報告地點：騰訊會議 ID：126-761-357
會議鍊接：https://meeting.tencent.com/dm/YvpjakrwnQV2
校内聯系人：刁懷安 diao@jlu.edu.cn
報告摘要： 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.
報告人簡介：王海兵，東南大學伟德线上平台教授，博士研究生導師，主要從事數學物理反問題的研究。2012年獲得北海道大學和東南大學的理學博士學位。現任中國數學會計算數學分會常務理事。目前正主持一項國家自然科學基金面上項目，代表性研究成果發表于SIAM系列，IP, JDE, JCP等學術刊物。
