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dc.rights.licenseopenen_US
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorESSONGUE BOUSSOUGOU, Simon
hal.structure.identifierLaboratoire des Composites Thermostructuraux [LCTS]
dc.contributor.authorCOUEGNAT, Guillaume
hal.structure.identifierLaboratoire des Composites Thermostructuraux [LCTS]
dc.contributor.authorMARTIN, Eric
dc.date.accessioned2023-10-09T15:36:13Z
dc.date.available2023-10-09T15:36:13Z
dc.date.issued2020-08-25
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/184369
dc.description.abstractEnThis paper investigates the convergence properties of the augmented finite element method (AFEM). The AFEM is here used to model weak discontinuities independently of the underlying mesh. One noticeable advantage of the AFEM over other partition of unity methods is that it does not introduce additional global unknowns. Numerical 2D experiments illustrate the performance of the method and draw comparisons with the finite element method (FEM) and the non conforming FEM. It is shown that the AFEM converges with an error of O(ℎ0.5) in the energy norm. The non-conforming FEM shares the same property while the FEM converges at O(ℎ). Yet, the AFEM is on par with the FEM for certain homogenization problems.
dc.language.isoENen_US
dc.subject.enEmbedded discontinuities
dc.subject.enEmbedded finite elements
dc.subject.enWeak discontinuities
dc.subject.enAugmented finite element method
dc.title.enPerformance assessment of the augmented finite element method for the modeling of weak discontinuities
dc.typeArticle de revueen_US
dc.subject.halSciences de l'ingénieur [physics]en_US
bordeaux.journalInternational Journal for Numerical Methods in Engineeringen_US
bordeaux.hal.laboratoriesI2Men_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.institutionBordeaux INPen_US
bordeaux.institutionCNRSen_US
bordeaux.institutionINRAEen_US
bordeaux.institutionArts et Métiersen_US
bordeaux.peerReviewedouien_US
bordeaux.inpressnonen_US
hal.popularnonen_US
hal.audienceInternationaleen_US
hal.exportfalse
workflow.import.sourcepubmed
dc.rights.ccPas de Licence CCen_US
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20for%20Numerical%20Methods%20in%20Engineering&rft.date=2020-08-25&rft.au=ESSONGUE%20BOUSSOUGOU,%20Simon&COUEGNAT,%20Guillaume&MARTIN,%20Eric&rft.genre=article


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