Abstract | ||
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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 |
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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 Qin | 1 | 0 | 0.34 |
Hong-Kui Pang | 2 | 1 | 1.03 |
Ji-Chuan Liu | 3 | 1 | 1.38 |