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

Saleh Mousa Alzahrani, Xavier Antoine and Chokri Chniti
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Saleh Mousa Alzahrani: Department of Mathematics, University College in Al-Qunfudhah, Umm AlQura University, Al-Qunfudhah 28821, Saudi Arabia
Xavier Antoine: Faculty of Science and Technology, Université de Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
Chokri Chniti: Department of Mathematics, University College in Al-Qunfudhah, Umm AlQura University, Al-Qunfudhah 28821, Saudi Arabia

Mathematics, 2021, vol. 9, issue 18, 1-13

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.

Keywords: acoustics; integral equation; on-surface radiation condition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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