An Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
ASME-AMER SOC MECHANICAL ENG
Abstract
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.
Description
Keywords
architectural acoustics, boundary-elements methods, eigenvalues and eigenfunctions, Galerkin method, numerical stability, EIGENVALUE PROBLEMS, INTEGRAL-EQUATIONS, APPROXIMATION, FORMULATION