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Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation

dc.contributor.authorAntoine, Xavier
dc.contributor.authorDarbas, Marion
dc.date.accessioned2011-04-29T14:41:30Z
dc.date.available2011-04-29T14:41:30Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6117
dc.language.isoenen
dc.subjectAcoustic scatteringen
dc.subjectHelmholtz equationen
dc.subjectsecond-kind Fredholm integral equationen
dc.subjectKrylov iterative solutionen
dc.subject.ddc515en
dc.titleGeneralized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper addresses the derivation of new second-kind Fredholm combined field integral equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a smooth closed surface. These integral equations need the introduction of suitable tangential square-root operators to regularize the formulations. Existence and uniqueness occur for these formulations. They can be interpreted as generalizations of the well-known Brakhage-Werner [A. Brakhage and P. Werner, Arch. Math. 16 (1965) 325–329] and Combined Field Integral Equations (CFIE) [R.F. Harrington and J.R. Mautz, Arch. Elektron. Übertragungstech (AEÜ) 32 (1978) 157–164]. Finally, some numerical experiments are performed to test their efficiency.en
dc.relation.isversionofjnlnameModélisation mathématique et analyse numérique
dc.relation.isversionofjnlvol41en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages147-167en
dc.relation.isversionofdoihttp://dx.doi.org/10.1051/m2an:2007009en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherEDP Sciencesen
dc.subject.ddclabelAnalyseen


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