The factorization method for inhomogeneous medium with an impenetrable obstacle

被引：0
作者：
Jianli Xiang
Guozheng Yan
机构：
[1] China Three Gorges University,Three Gorges Math Research Center, College of Science
[2] Central China Normal University,School of Mathematics and Statistics
[3] Hubei Key Laboratory of Mathematical Physics,undefined
来源：
Computational and Applied Mathematics | 2021年 / 40卷
关键词：
Variational method; Factorization method; Inverse scattering problem; Inhomogeneous medium; 35P25; 35R30; 45Q05;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper is concerned with the inverse scattering problem of time-harmonic acoustic waves by a mixed-type scatterer. Such a scatterer is given as the union of an inhomogeneous medium with unknown buried objects inside and an impenetrable obstacle. Having established the well-posedness of the direct problem by the variational method, we study the factorization method for recovering the support of the inhomogeneous medium and the shape of the impenetrable obstacle simultaneously. Finally, some numerical examples are presented to illustrate the feasibility and effectiveness of the inverse algorithm.
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