Title
Reconstruction For Shape And Impedance In An Inverse Scattering Problem
Abstract
In this paper, we consider an inverse scattering problem of reconstructing the shape and impedance for a cavity from one point source and several measurements placed on a curve inside the cavity. This inverse problem is nonlinear and ill-posed. To overcome such difficulties, we apply an iterative regularized approach to reconstruct both the boundary and the surface impedance, and prove injectivity for the linearized system at the exact solution. Finally, some numerical experiments are presented to demonstrate the feasibility and effectiveness of the proposed regularization method.
Year
DOI
Venue
2021
10.1080/00207160.2020.1802015
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Keywords
DocType
Volume
Inverse problem, shape reconstruction, impedance reconstruction, ill-posed problem, iterative regularization
Journal
98
Issue
ISSN
Citations 
5
0020-7160
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Hai-Hua Qin100.34
Hong-Kui Pang211.03
Ji-Chuan Liu311.38