An efficient galerkin BEM to compute high acoustic eigenfrequencies

Mario Durán, Jean Claude Nédélec, SEBASTIAN EDUARDO OSSANDON VELIZ

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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.

Original languageEnglish
Pages (from-to)310011-310019
Number of pages9
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume131
Issue number3
DOIs
StatePublished - Jun 2009
Externally publishedYes

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