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Optimized Transmission Conditions for Domain Decomposition Methods and Helmholtz Equation. Application to Higher Order Finite Element Methods

hal.structure.identifierCentre Européen de Recherche et de Formation Avancée en Calcul Scientifique [CERFACS]
dc.contributor.authorCOLLINO, Francis
hal.structure.identifierAdvanced 3D Numerical Modeling in Geophysics [Magique 3D]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDURUFLÉ, Marc
hal.structure.identifierPropagation des Ondes : Étude Mathématique et Simulation [POEMS]
dc.contributor.authorJOLY, P
hal.structure.identifierCentre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]
dc.contributor.authorLECOUVEZ, Matthieu
dc.date.accessioned2024-04-04T03:19:08Z
dc.date.available2024-04-04T03:19:08Z
dc.date.created2014
dc.date.conference2014-06-23
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194477
dc.description.abstractEnDomain decomposition methods for solving Helmholtz equation are considered. Such methods rely on transmission conditions set on the interfaces between subdomains. The convergence of the iterative algorithm used to solve the associated linear system depends on these transmission conditions. Optimized transmission conditions (such as proposed in [1]) usually rely on transparent boundary conditions or local operators that are an approximation of the exact transparent boundary condition. In this talk, non-local optimized transmission conditions based on Riesz potentials as detailed in [2] are studied. The non-local operators can be replaced by quasi-local operators, and the obtained rate of convergence is independent of the mesh size. These conditions are applied to higher order finite element methods.
dc.language.isoen
dc.title.enOptimized Transmission Conditions for Domain Decomposition Methods and Helmholtz Equation. Application to Higher Order Finite Element Methods
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleInternational Conference on Spectral and High Order Methods 2014
bordeaux.countryUS
bordeaux.conference.citySalt Lake City
bordeaux.peerReviewedoui
hal.identifierhal-01110763
hal.version1
hal.invitednon
hal.proceedingsnon
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01110763v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=COLLINO,%20Francis&DURUFL%C3%89,%20Marc&JOLY,%20P&LECOUVEZ,%20Matthieu&rft.genre=unknown


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