An efficient galerkin BEM to compute high acoustic eigenfrequencies

Mario Durán, Jean Claude Nédélec, Sebastián Ossandón

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

12 Citas (Scopus)

Resumen

An efficient numerical method, using integral equations, is developed to calculate precisely the acoustic eigenfrequencies and their associated eigenvectors, located in a given high frequency interval. It is currently known that the real symmetric matrices are well adapted to numerical treatment. However, we show that this is not the case when using integral representations to determine with high accuracy the spectrum of elliptic, and other related operators. Functions are evaluated only in the boundary of the domain, so very fine discretizations may be chosen to obtain high eigenfrequencies. We discuss the stability and convergence of the proposed method. Finally we show some examples.

Idioma originalInglés
Páginas (desde-hasta)310011-310019
Número de páginas9
PublicaciónJournal of Vibration and Acoustics, Transactions of the ASME
Volumen131
N.º3
DOI
EstadoPublicada - jun. 2009
Publicado de forma externa

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