| dc.contributor.author | Legendre, Guillaume | |
| dc.contributor.author | Chambeyron, Colin | |
| dc.contributor.author | Bonnet-Ben Dhia, Anne-Sophie | |
| dc.date.accessioned | 2013-04-24T13:16:53Z | |
| dc.date.available | 2013-04-24T13:16:53Z | |
| dc.date.issued | 2014 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/11249 | |
| dc.language.iso | en | en |
| dc.subject | Elastic waveguide | |
| dc.subject | Scattering problem | |
| dc.subject | Perfectly matched layer | |
| dc.subject | Backward propagating mode | |
| dc.subject.ddc | 515 | en |
| dc.title | On the use of perfectly matched layers in the presence of long or backward guided elastic waves | en |
| dc.type | Article accepté pour publication ou publié | |
| dc.contributor.editoruniversityother | POEMS (INRIA Saclay - Ile de France) INRIA – CNRS : UMR7231 – ENSTA ParisTech;France | |
| dc.description.abstracten | An 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.abstracten | An 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.isversionofjnlname | Wave Motion | |
| dc.relation.isversionofjnlvol | 51 | |
| dc.relation.isversionofjnlissue | 2 | |
| dc.relation.isversionofjnldate | 2014 | |
| dc.relation.isversionofjnlpages | 266-283 | |
| dc.relation.isversionofdoi | http://dx.doi.org/10.1016/j.wavemoti.2013.08.001 | |
| dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00816895 | |
| dc.relation.isversionofjnlpublisher | Elsevier | |
| dc.subject.ddclabel | Analyse | en |
| dc.description.submitted | non | en |
