An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation

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dc.contributor.author Airaksinen, Tuomas
dc.contributor.author Heikkola, Erkki
dc.contributor.author Pennanen, Anssi
dc.contributor.author Toivanen, Jari
dc.date.accessioned 2011-01-12T10:17:25Z
dc.date.available 2011-01-12T10:17:25Z
dc.date.issued 2007
dc.identifier.citation Airaksinen, 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.uri http://hdl.handle.net/123456789/25781
dc.description.abstract A 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.iso eng
dc.publisher Elsevier
dc.relation.ispartofseries Journal of Computational Physics
dc.rights © Elsevier
dc.subject.other Algebraic multigrid method
dc.subject.other Algebraic multigrid method, Finite element method, GMRES, Helmholtz equation, Preconditioner
dc.subject.other Finite element method
dc.subject.other GMRES
dc.subject.other Helmholtz equation
dc.subject.other Preconditioner
dc.title An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation
dc.type Article en
dc.identifier.urn URN:NBN:fi:jyu-20112211790
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.jcp.2007.05.013
dc.date.updated 2011-01-12T10:17:25Z
dc.description.version Post-print version
eprint.status http://purl.org/eprint/type/status/PeerReviewed

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