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dc.contributor.authorHeikkola, Erkki
dc.contributor.authorMönkölä, Sanna
dc.contributor.authorPennanen, Anssi
dc.contributor.authorRossi, Tuomo
dc.date.accessioned2012-10-11T10:28:50Z
dc.date.available2012-10-11T10:28:50Z
dc.date.issued2007
dc.identifier.citationHeikkola, E., Mönkölä, S., Pennanen, A., & Rossi, T. (2007). Controllability method for acoustic scattering with spectral elements. <em>Journal of Computational and Applied Mathematics</em>, 204 (2), 344-355. <a href="http://dx.doi.org/10.1016/j.cam.2006.02.046">doi:10.1016/j.cam.2006.02.046</a>fi
dc.identifier.otherTUTKAID_21775
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/39959
dc.description.abstractWe formulate the Helmholtz equation as an exact controllability problem for the time-dependent wave equation. The problem is then discretized in time domain with central finite difference scheme and in space domain with spectral elements. This approach leads to high accuracy in spatial discretization. Moreover, the spectral element method results in diagonal mass matrices, which makes the time integration of the wave equation highly efficient. After discretization, the exact controllability problem is reformulated as a least-squares problem, which is solved by the conjugate gradient method. We illustrate the method with some numerical experiments, which demonstrate the significant improvements in efficiency due to the higher order spectral elements. For a given accuracy, the controllability technique with spectral element method requires fewer computational operations than with conventional finite element method. In addition, by using higher order polynomial basis the influence of the pollution effect is reduced.fi
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesJournal of Computational and Applied Mathematics
dc.subject.otherakustinen sirontafi
dc.titleControllability method for acoustic scattering with spectral elements
dc.typeArticle
dc.identifier.urnURN:NBN:fi:jyu-201210102637
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi10.1016/j.cam.2006.02.046
dc.date.updated2012-10-10T03:30:10Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange344-355
dc.relation.issn0377-0427
dc.relation.numberinseries2
dc.relation.volume204
dc.type.versionacceptedVersion
dc.rights.copyright© Elsevier. This is an author's final draft version of an article whose final and definitive form has been published by Elsevier.
dc.rights.accesslevelopenAccessfi


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