Näytä suppeat kuvailutiedot

dc.contributor.authorAiraksinen, Tuomas
dc.contributor.authorHeikkola, Erkki
dc.contributor.authorPennanen, Anssi
dc.contributor.authorToivanen, Jari
dc.date.accessioned2011-01-12T10:17:25Z
dc.date.available2011-01-12T10:17:25Z
dc.date.issued2007
dc.identifier.citationAiraksinen, T., Heikkola, E, Pennanen, A. & Toivanen, J. (2009). An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation. Journal of Computational Physics, 226 (1), 1196-1210. doi:10.1016/j.jcp.2007.05.013
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/25781
dc.description.abstractA preconditioner defined by an algebraic multigrid cycle for a damped Helmholtz operator is proposed for the Helmholtz equation. This approach is well suited for acoustic scattering problems in complicated computational domains and with varying material properties. The spectral properties of the preconditioned systems and the convergence of the GMRES method are studied with linear, quadratic, and cubic finite element discretizations. Numerical experiments are performed with two-dimensional problems describing acoustic scattering in a cross-section of a car cabin and in a layered medium. Asymptotically the number of iterations grows linearly with respect to the frequency while for lower frequencies the growth is milder. The proposed preconditioner is particularly effective for low-frequency and mid-frequency problems.
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesJournal of Computational Physics
dc.subject.otherAlgebraic multigrid method
dc.subject.otherAlgebraic multigrid method, Finite element method, GMRES, Helmholtz equation, Preconditioner
dc.subject.otherFinite element method
dc.subject.otherGMRES
dc.subject.otherHelmholtz equation
dc.subject.otherPreconditioner
dc.titleAn algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation
dc.typeArticle
dc.identifier.urnURN:NBN:fi:jyu-20112211790
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.jcp.2007.05.013
dc.date.updated2011-01-12T10:17:25Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.type.versionacceptedVersion
dc.rights.copyright© Elsevier
dc.rights.accesslevelopenAccessfi


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