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dc.contributor.authorDíez, Pedro
dc.contributor.authorCottereau, Régis
dc.contributor.authorZlotnik, Sergio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationDiez, P., Cottereau, R., Zlotnik, S. A stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers. "International journal for numerical methods in engineering (Recurs electrònic)", 02 Novembre 2013, vol. 96, núm. 5, p. 303-322.
dc.description.abstractWhen applied to diffusion problems in a multi-phase setup, the popular extended finite element method (XFEM) strategy suffers from an inaccurate representation of the local fluxes in the vicinity of the interface. The XFEM enrichment improves the global quality of the solution but it is not enforcing any local feature to the fluxes. Thus, the resulting numerical fluxes in the vicinity of the interface are not realistic, in particular when conductivity ratios between the different phases are very high. This paper introduces an additional restriction to the XFEM formulation aiming at properly reproducing the features of the local fluxes in the transition zone. This restriction is implemented through Lagrange multipliers, and the stability of the resulting mixed formulation is tested satisfactorily through the Chapelle–Bathe numerical procedure. Several examples are presented, and the solutions obtained show a spectacular improvement with respect to the standard XFEM.
dc.format.extent20 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshStrength of materials
dc.subject.othermulti-phase materials level set XFEM flux accuracy
dc.titleA stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers
dc.subject.lemacResistència de materials
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74S Numerical methods
dc.rights.accessOpen Access
dc.description.versionPostprint (author’s final draft)
local.citation.authorDiez, P.; Cottereau, R.; Zlotnik, S.
local.citation.publicationNameInternational journal for numerical methods in engineering (Recurs electrònic)

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