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| 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. | 676.4 KB | Adobe PDF |
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Advisor(s)
Abstract(s)
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.
Description
Conference name - International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010; Conference date - 19 September 2010 - 25 September 2010
Keywords
Method of Fundamental Solutions asymptotic analysis Plane Waves Method acoustic wave propagation
Pedagogical Context
Citation
Svilen S. Valtchev; Asymptotic Analysis of the Method of Fundamental Solutions for Acoustic Wave Propagation. AIP Conf. Proc. 30 September 2010; 1281 (1): 1179–1182. https://doi.org/10.1063/1.3497876.
Publisher
AIP
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CC License
Without CC licence