• 王海兵教授學術報告

    發布時間:2020年10月31日 作者:鄧又軍   消息來源:    閱讀次數:[]

    報告題目:On the time-domain acoustic waves reflected by a cluster of small sound-soft obstacles
    報告人:王海兵教授,東南大學
    報告時間:2020年11月1日下午14:00-16:00
    報告地點:數理樓145小報告廳
    摘要:Consider the time-domain acoustic scattering problem by a cluster of small sound-soft obstacles. Based on the retarded boundary integral equation method, we derive the asymptotic expansion of the scattered field as the size of the holes goes to zero. Under certain geometrical constraints on the size and the minimum distance of the holes, we show that the scattered field is approximated by a linear combination of point-sources where the weights are given by the capacitance of each hole and the causal signals (of these point-sources) can be computed by solving a, retarded in time, linear algebraic system. A rigorous justification of the asymptotic expansion and the unique solvability of the linear algebraic system are shown under natural conditions on the cluster of holes. As an application of the asymptotic expansion, we derive, in the limit case when the holes are densely distributed and occupy a bounded domain, the equivalent effective acoustic medium (an equivalent mass density characterized by the capacitance of the holes) that generates, approximately, the same scattered field as the cluster of holes. Finally, we numerically verify the asymptotic expansions by comparing the asymptotic approximations with the numerical solutions of the scattered fields via the finite element method.
    報告人簡介: 王海兵,男,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,2014年獲得江蘇省優秀博士學位論文,2016年入選江蘇高?!扒嗨{工程”中青年學術帶頭人培養對象,2017年作為第二完成人獲得教育部自然科學二等獎,2018年獲得江蘇省工業與應用數學學會第二屆“工業與應用數學獎青年獎”?,F任中國數學會計算數學分會常務委員。主持三項國家自然科學基金和一項江蘇省自然科學基金,在SIAP, SIAM-MMS, IP, JCP等國內外刊物上發表三十余篇學術論文。



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