講座主題：The reference ball techniques for phaseless inverse scattering problems
專家姓名：郭玉坤
工作單位：哈爾濱工業(yè)大學(xué)
講座時(shí)間：2021年11月23日 15:00-16:00
講座地點(diǎn)：騰訊會(huì)議：209237945
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
This talk is concerned with the recent studies on the phaseless inverse scattering problems with auxiliary reference objects. By incorporating an additional reference ball to the scattering system and using the superposition of different incident waves, we rigorously prove that the location and shape of the obstacle as well as its boundary condition or the refractive index can be uniquely determined by the modulus of acoustic far-field patterns. A reference ball based iterative method is also developed to numerically reconstruct the location and shape of a sound-soft obstacle from phaseless far-field data. Numerical examples will be presented to illustrate the effectiveness of the proposed method.
主講人介紹：
郭玉坤,，哈爾濱工業(yè)大學(xué)數(shù)學(xué)學(xué)院副教授,，博士生導(dǎo)師,。本科和博士均畢業(yè)于吉林大學(xué)計(jì)算數(shù)學(xué)專業(yè),。研究領(lǐng)域?yàn)閿?shù)學(xué)物理反問(wèn)題，主要方向?yàn)椴▌?dòng)方程反散射問(wèn)題的數(shù)值分析與計(jì)算,。在Inverse Problems,、Journal of Differential Equations和Journal of Computational Physics等期刊發(fā)表學(xué)術(shù)論文三十余篇。曾應(yīng)邀訪問(wèn)美國(guó)特拉華大學(xué),，德國(guó)威爾斯特拉斯應(yīng)用數(shù)學(xué)研究所,，香港浸會(huì)大學(xué)和南方科技大學(xué)等單位，進(jìn)行科研合作,。
