Controllability method for acoustic scattering with spectral elements

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dc.contributor.author Heikkola, Erkki
dc.contributor.author Mönkölä, Sanna
dc.contributor.author Pennanen, Anssi
dc.contributor.author Rossi, Tuomo
dc.date.accessioned 2012-10-11T10:28:50Z
dc.date.available 2012-10-11T10:28:50Z
dc.date.issued 2007
dc.identifier.citation Heikkola, E., Mönkölä, S., Pennanen, A., & Rossi, T. (2007). Controllability method for acoustic scattering with spectral elements. Journal of Computational and Applied Mathematics, 204 (2), 344-355. fi
dc.identifier.issn 0377-0427
dc.identifier.other TUTKAID_21775
dc.identifier.uri http://hdl.handle.net/123456789/39959
dc.description.abstract We 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.iso eng
dc.publisher Elsevier
dc.relation.ispartof Journal of Computational and Applied Mathematics
dc.rights © Elsevier. This is an author's final draft version of an article whose final and definitive form has been published by Elsevier.
dc.subject.other akustinen sironta fi
dc.title Controllability method for acoustic scattering with spectral elements
dc.type Article en
dc.identifier.urn URN:NBN:fi:jyu-201210102637
dc.contributor.laitos Tietotekniikan laitos fi
dc.contributor.laitos Department of Mathematical Information Technology en
jyx.tutka.volyme 204
jyx.tutka.mnumber 2
jyx.tutka.pagetopage 344-355
dc.type.uri http://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi 10.1016/j.cam.2006.02.046
dc.date.updated 2012-10-10T03:30:10Z
dc.description.version Author's Final draft
eprint.status http://purl.org/eprint/type/status/PeerReviewed

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