An Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies

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dc.contributor.authorDuran, Mario
dc.contributor.authorNedelec, Jean Claude
dc.contributor.authorOssandon, Sebastian
dc.date.accessioned2024-01-10T13:45:47Z
dc.date.available2024-01-10T13:45:47Z
dc.date.issued2009
dc.description.abstractAn 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.
dc.description.funderConicyt/PBCT
dc.description.funderProyecto Anillo de Investigacion en Ciencia y Tecnologia
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent9 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1115/1.3085894
dc.identifier.issn1048-9002
dc.identifier.urihttps://doi.org/10.1115/1.3085894
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79079
dc.identifier.wosidWOS:000265527000001
dc.information.autorucIngeniería;Durán M;S/I;100275
dc.issue.numero3
dc.language.isoen
dc.nota.accesocontenido parcial
dc.publisherASME-AMER SOC MECHANICAL ENG
dc.revistaJOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME
dc.rightsacceso restringido
dc.subjectarchitectural acoustics
dc.subjectboundary-elements methods
dc.subjecteigenvalues and eigenfunctions
dc.subjectGalerkin method
dc.subjectnumerical stability
dc.subjectEIGENVALUE PROBLEMS
dc.subjectINTEGRAL-EQUATIONS
dc.subjectAPPROXIMATION
dc.subjectFORMULATION
dc.titleAn Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies
dc.typeartículo
dc.volumen131
sipa.codpersvinculados100275
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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