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Numerical Comparison of Two Meshfree Methods for Acoustic Wave Scattering

Alves, Carlos J. S.; Valtchev, Svilen S.

Engineering Analysis with Boundary Elements, 29(4) (2005), 371-382

Density results using an infinite number of acoustic waves allow us to derive meshless methods for solving the homogeneous and the inhomogeneous Helmholtz equation. In this paper we consider the numerical simulation of acoustic scattering problems in a bounded domain using the plane waves method and the method of fundamental solutions. We establish a link between the two methods, namely the plane waves method may be seen as the asymptotic case of the method of fundamental solutions for distant source points. Several numerical tests comparing these methods are presented. (C) 2005 Elsevier Ltd. All rights reserved.