The method of fundamental solutions for inverse obstacle acoustic scattering
SourceWIT Transactions on Modelling and Simulation
32nd International Conference on Boundary Elements and Other Mesh Reduction Methods, BEM/MRM 2010
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In this paper we propose a simple method for detecting (shape, size and location) a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure in the vicinity (near-or far-field) of the obstacle. We develop a nonlinear constrained minimization regularized method of fundamental solutions for obtaining the numerical solution of the inverse problem. The stability of the numerical scheme is investigated by inverting measurements contaminated with noise. © 2010 WIT Press.
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Karageorghis, Andreas; Fairweather, G. (1998)The method of fundamental solutions (MFS) is applied to acoustic scattering and radiation for axisymmetric bodies and boundary conditions. The fundamental solution of the governing equation and its normal derivative, which ...
Karageorghis, Andreas; Lesnic, D. (2011)In this paper, the method of fundamental solutions (MFS) is used to detect the shape, size and location of a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure ...
Fairweather, G.; Karageorghis, Andreas; Martin, P. A. (2003)The development of the method of fundamental solutions (MFS) and related methods for the numerical solution of scattering and radiation problems in fluids and solids is described and reviewed. A brief review of the ...