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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. (2007). An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation. <i>Journal Of Computational Physics</i>, <i>226</i>(1), 1196-1210. <a href="https://doi.org/10.1016/j.jcp.2007.05.013" target="_blank">https://doi.org/10.1016/j.jcp.2007.05.013</a>
dc.identifier.otherCONVID_17032229
dc.identifier.otherTUTKAID_26567
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.languageeng
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesJournal Of Computational Physics
dc.relation.urihttp://dx.doi.org/10.1016/j.jcp.2007.05.013
dc.subject.otherAlgebrallinen multigrid-menetelmä
dc.subject.otheräärellisten elementtien menetelmä
dc.subject.otherGMRES
dc.subject.otherHelmholzin yhtälö
dc.subject.otherpohjustin
dc.subject.otherAlgebraic multigrid method
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.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2011-01-12T10:17:25Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1196-1210
dc.relation.issn0021-9991
dc.relation.numberinseries1
dc.relation.volume226
dc.type.versionacceptedVersion
dc.rights.copyright© Elsevier
dc.rights.accesslevelopenAccessfi
dc.subject.ysoelementtimenetelmä
jyx.subject.urihttp://www.yso.fi/onto/yso/p24565
dc.relation.doi10.1016/j.jcp.2007.05.013
dc.type.okmA1


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