Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Subject: search.filters.subject.Generalized impedance boundary condition

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  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Numerical Solution of a Generalized Boundary Value Problem for the Modified Helmholtz Equation in Two Dimensions
    (Elsevier, 2021) Ivanyshyn Yaman, Olha; Özdemir, Gazi
    We propose numerical schemes for solving the boundary value problem for the modified Helmholtz equation and generalized impedance boundary condition. The approaches are based on the reduction of the problem to the boundary integral equation with a hyper-singular kernel. In the first scheme the hyper-singular integral operator is treated by splitting off the singularity technique whereas in the second scheme the idea of numerical differentiation is employed. The solvability of the boundary integral equation and convergence of the first method are established. Exponential convergence for analytic data is exhibited by numerical examples. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.Y. All rights reserved.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Reconstruction of Generalized Impedance Functions for 3d Acoustic Scattering
    (Academic Press Inc., 2019) Ivanyshyn Yaman, Olha
    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.