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On the use of perfectly matched layers in the presence of long or backward guided elastic waves

dc.contributor.authorLegendre, Guillaume
dc.contributor.authorChambeyron, Colin
dc.contributor.authorBonnet-Ben Dhia, Anne-Sophie
HAL ID: 3577
dc.date.accessioned2013-04-24T13:16:53Z
dc.date.available2013-04-24T13:16:53Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11249
dc.language.isoenen
dc.subjectElastic waveguide
dc.subjectScattering problem
dc.subjectPerfectly matched layer
dc.subjectBackward propagating mode
dc.subject.ddc515en
dc.titleOn the use of perfectly matched layers in the presence of long or backward guided elastic wavesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherPOEMS (INRIA Saclay - Ile de France) INRIA – CNRS : UMR7231 – ENSTA ParisTech;France
dc.description.abstractenAn efficient method to compute the scattering of a guided wave by a localized defect, in an elastic waveguide of infinite extent and bounded cross section, is considered. It relies on the use of perfectly matched layers (PML) to reduce the problem to a bounded portion of the guide, allowing for a classical finite element discretization. The difficulty here comes from the existence of backward propagative modes, which are not correctly handled by the PML. We propose a simple strategy, based on finite-dimensional linear algebra arguments and using the knowledge of the modes, to recover a correct approximation to the solution with a low additional cost compared to the standard PML approach. Numerical experiments are presented in the two-dimensional case involving Rayleigh--Lamb modes.en
dc.description.abstractenAn efficient method to compute the scattering of a guided wave by a localized defect, in an elastic waveguide of infinite extent and bounded cross section, is considered. It relies on the use of perfectly matched layers (PML) to reduce the problem to a bounded portion of the guide, allowing for a classical finite element discretization. The difficulty here comes from the existence of backward propagating modes, which are not correctly handled by the PML. We propose a simple strategy, based on finite-dimensional linear algebra arguments and using the knowledge of the modes, to recover a correct approximation to the solution with a low additional cost compared to the standard PML approach. Numerical experiments are presented in the two-dimensional case involving Rayleigh–Lamb modes.
dc.relation.isversionofjnlnameWave Motion
dc.relation.isversionofjnlvol51
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages266-283
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.wavemoti.2013.08.001
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00816895
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelAnalyseen
dc.description.submittednonen


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