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Asymptotic Analysis of the Method of Fundamental Solutions for Acoustic Wave Propagation

Valtchev, Svilen S.

Proceedings of International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), 19–25 September 2010, Rhodes, Greece, 1281 (2010), 1179-1182
http://dx.doi.org/10.1063/1.3497876

The asymptotic behavior of the Method of Fundamental Solutions (MFS) is analyzed, for the numerical solution of acoustic wave propagation problems in 2D and 3D bounded domains. As a consequence, a meshfree method, based on superposition of plane acoustic waves, referred to as the Plane Waves Method (PWM), is developed. Numerical examples are included in order to illustrate the relation between the two methods and the accuracy of the PWM.