Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background-Reference-Cited by-同舟云学术

Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background

Published:2021-03-25 Issue:2 Volume:86 Page:320-348
ISSN:0272-4960
Container-title:IMA Journal of Applied Mathematics
language:en
Short-container-title:

Author:

Kow Pu-Zhao¹,Wang Jenn-Nan²

Affiliation:

1. Department of Mathematics, National Taiwan University, Taipei 106, Taiwan

2. Institute of Applied Mathematical Sciences, NCTS, National Taiwan University, Taipei 106, Taiwan

Abstract

Abstract In this paper, we are interested in the problem of determining the shape of sound-soft or impedance obstacles in the acoustic wave scattering with an anisotropic inhomogeneous medium. The main theme is to extend the factorization method to this setting. Precisely, we can reconstruct the obstacle by the eigenvalues and eigenfunctions of the far-field operator. We also provide some numerical simulations in the paper.

Funder

Ministry of Science and Technology

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics

Link

http://academic.oup.com/imamat/article-pdf/86/2/320/37928560/hxab002.pdf

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