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The Method of Fundamental Solutions Applied to the Calculation of Eigenfrequencies and Eigenmodes of 2D Simply Connected Shapes

Carlos J. S. Alves, Pedro R. S. Antunes1

CEMAT, Department of Mathematics, Instituto Superior Técnico, Av.Rovisco Pais 1, 1049-001 Lisboa, Portugal.

* Corresponding Authors:Email: email; email

Computers, Materials & Continua 2005, 2(4), 251-266. https://doi.org/10.3970/cmc.2005.002.251

Abstract

In this work we show the application of the Method of Fundamental Solutions(MFS) in the determination of eigenfrequencies and eigenmodes associated to wave scattering problems. This meshless method was already applied to simple geometry domains with Dirichlet boundary conditions (cf. Karageorghis (2001)) and to multiply connected domains (cf. Chen, Chang, Chen, and Chen (2005)). Here we show that a particular choice of point-sourcescan lead to very good results for a fairly general type of domains. Simulations with Neumann boundary conditionare also considered.

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Cite This Article

C. J. S. . Alves and P. R. S. . Antunes, "The method of fundamental solutions applied to the calculation of eigenfrequencies and eigenmodes of 2d simply connected shapes," Computers, Materials & Continua, vol. 2, no.4, pp. 251–266, 2005.



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