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dc.contributor.authorAiraksinen, Tuomas
dc.contributor.authorMönkölä, Sanna
dc.date.accessioned2011-01-12T10:17:50Z
dc.date.available2011-01-12T10:17:50Z
dc.date.issued2010
dc.identifier.citationAiraksinen, T. & Mönkölä, S. (2010). Comparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics. Journal of Computational and Applied Mathematics, 234 (6), 1796-1802. doi:10.1016/j.cam.2009.08.030
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/25784
dc.description.abstractProcesses that can be modelled with numerical calculations of acoustic pressure fields include medical and industrial ultrasound, echo sounding, and environmental noise. We present two methods for making these calculations based on Helmholtz equation. The first method is based directly on the complex-valued Helmholtz equation and an algebraic multigrid approximation of the discretized shifted-Laplacian operator; i.e. the damped Helmholtz operator as a preconditioner. The second approach returns to a transient wave equation, and finds the time-periodic solution using a controllability technique. We concentrate on acoustic problems, but our methods can be used for other types of Helmholtz problems as well. Numerical experiments show that the control method takes more CPU time, whereas the shifted-Laplacian method has larger memory requirement.
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesJournal of Computational and Applied Mathematics
dc.subject.otherHelmholtz equation
dc.subject.otherComputational acoustics
dc.subject.otherAlgebraic multigrid method
dc.subject.otherPreconditioner
dc.subject.otherExact controllability
dc.subject.otherFinite element method
dc.subject.otherSpectral element method
dc.titleComparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics
dc.typeArticle
dc.identifier.urnURN:NBN:fi:jyu-20112211791
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosFaculty of Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.type.urihttp://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doidoi:10.1016/j.cam.2009.08.030
dc.date.updated2011-01-12T10:17:50Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.type.versionacceptedVersion
dc.rights.copyright© Elsevier
dc.rights.accesslevelopenAccessfi


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