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A Coupling between Integral Equations and On-Surface Radiation Conditions for Diffraction Problems by Non Convex Scatterers

Author

Listed:
  • Saleh Mousa Alzahrani

    (Department of Mathematics, University College in Al-Qunfudhah, Umm AlQura University, Al-Qunfudhah 28821, Saudi Arabia
    These authors contributed equally to this work.)

  • Xavier Antoine

    (Faculty of Science and Technology, Université de Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
    These authors contributed equally to this work.)

  • Chokri Chniti

    (Department of Mathematics, University College in Al-Qunfudhah, Umm AlQura University, Al-Qunfudhah 28821, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

The aim of this paper is to introduce an orignal coupling procedure between surface integral equation formulations and on-surface radiation condition (OSRC) methods for solving two-dimensional scattering problems for non convex structures. The key point is that the use of the OSRC introduces a sparse block in the surface operator representation of the wave field while the integral part leads to an improved accuracy of the OSRC method in the non convex part of the scattering structure. The procedure is given for both the Dirichlet and Neumann scattering problems. Some numerical simulations show the improvement induced by the coupling method.

Suggested Citation

  • Saleh Mousa Alzahrani & Xavier Antoine & Chokri Chniti, 2021. "A Coupling between Integral Equations and On-Surface Radiation Conditions for Diffraction Problems by Non Convex Scatterers," Mathematics, MDPI, vol. 9(18), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2299-:d:638074
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    References listed on IDEAS

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    1. Alzubaidi, Hasan & Antoine, Xavier & Chniti, Chokri, 2016. "Formulation and accuracy of On-Surface Radiation Conditions for acoustic multiple scattering problems," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 82-100.
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