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Numerical determination of eigenfrequencies and eigenmodes using the method of fundamental solutions

Alves, Carlos J. S.; Antunes, Pedro R. S.

Proceedings of the International Conference in Engineering & Science 2004 (Editors: Atluri, S.; Tadeu, A.), in CD. Tech Science Press, Los Angeles, (2004),

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 has already been applied to simple geometry domains with Dirichlet boundary conditions (e.g. [8]). Here we show that a particular choice of point-sources can lead to very good results for a fairly general type of domains. Simulations with other types of boundary conditions are also considered.