The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering

Authors:
A. Karageorghis;B. T. Johansson;D. Lesnic
Affiliations:
Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus;School of Mathematics, University of Birmingham, Birmingham B15 2TT, UK;Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
Venue:
Applied Numerical Mathematics
Year:
2012

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Abstract

In this paper we propose a simple meshless method of fundamental solutions (MFS) for detecting a sound-soft scatterer embedded in a host acoustic homogeneous medium from the measurement of the far-field pattern of the scattered wave for only one incoming direction. Further, when this measurement is contaminated with noise, we augment the MFS with a nonlinear constrained regularized minimization for obtaining a stable numerical solution of the inverse problem. Numerical results are presented and discussed.