Mathematics / Matematik

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  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Reconstruction of Generalized Impedance Functions for 3d Acoustic Scattering
    (Academic Press Inc., 2019) Ivanyshyn Yaman, Olha; Ivanyshyn Yaman, Olha; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    We consider the inverse obstacle scattering problem of determining both of the surface impedance functions from far field measurements for a few incident plane waves at a fixed frequency. The reconstruction algorithm we propose is based on an iteratively regularized Newton-type method and nonlinear integral equations. The mathematical foundation of the method is presented and the feasibility is illustrated by numerical examples. (C) 2019 Elsevier Inc. All rights reserved.