An Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies

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.

Autores: Durán, M., Nédélec, J. C., Ossandón, S.

Journal: Journal of Vibration and Acoustics

Journal Volume: 131

Journal Issue: 3

Journal Page: 031001 (9 pages)

Tipo de publicación: ISI

Fecha de publicación: 2009

Topics: Stability, Wavelength, Acoustics, Boundary element methods, Eigenvalues, Integral equations, Numerical analysis, Functions

DOI: 10.1115/1.3085894

URL de la publicación: http://vibrationacoustics.asmedigitalcollection.asme.org/article.aspx?articleid=1471299