Comparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics

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dc.contributor.author Airaksinen, Tuomas
dc.contributor.author Mönkölä, Sanna
dc.date.accessioned 2011-01-12T10:17:50Z
dc.date.available 2011-01-12T10:17:50Z
dc.date.issued 2010
dc.identifier.citation Airaksinen, 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.uri http://hdl.handle.net/123456789/25784
dc.description.abstract Processes 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.iso eng
dc.publisher Elsevier
dc.relation.ispartofseries Journal of Computational and Applied Mathematics
dc.rights © Elsevier
dc.subject.other Helmholtz equation
dc.subject.other Computational acoustics
dc.subject.other Algebraic multigrid method
dc.subject.other Preconditioner
dc.subject.other Exact controllability
dc.subject.other Finite element method
dc.subject.other Spectral element method
dc.title Comparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics
dc.type Article en
dc.identifier.urn URN:NBN:fi:jyu-20112211791
dc.subject.kota 113
dc.contributor.laitos Tietotekniikan laitos fi
dc.contributor.laitos Faculty of Information Technology en
dc.contributor.oppiaine tietotekniikka fi
dc.type.uri http://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi doi:10.1016/j.cam.2009.08.030
dc.date.updated 2011-01-12T10:17:50Z
dc.description.version Final draft
eprint.status http://purl.org/eprint/type/status/PeerReviewed

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