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dc.contributor.authorRódenas García, Juan José
dc.contributor.authorGonzález Estrada, O. A.
dc.contributor.authorDíez, Pedro
dc.contributor.authorFuenmayor, F. J.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationRódenas, J. [et al.]. Accurate recovery-based upper error bounds for the extended finite element framework. "Computer methods in applied mechanics and engineering", 01 Agost 2010, vol. 199, núm. 37-40, p. 2607-2621.
dc.description.abstractThis paper introduces a recovery-type error estimator yielding upper bounds of the error in energy norm for linear elastic fracture mechanics problems solved using the extended finite element method (XFEM). The paper can be considered as an extension and enhancement of a previous work in which the upper bounds of the error were developed in a FEM framework. The upper bound property requires the recovered solution to be equilibrated and continuous. The proposed technique consists of using a recovery technique, especially adapted to the XFEM framework that yields equilibrium at a local level (patch by patch). Then a postprocess based on the partition of unity concept is used to obtain continuity. The result is a very accurate but only nearly-statically admissible recovered stress field, with small equilibrium defaults introduced by the postprocess. Sharp upper bounds are obtained using a new methodology accounting for the equilibrium defaults, as demonstrated by the numerical tests.
dc.format.extent15 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshFinite element method
dc.subject.lcshMechanics--Problems, exercises, etc.
dc.subject.lcshNumerical analysis
dc.subject.lcshFracture mechanics--Mathematical models
dc.titleAccurate recovery-based upper error bounds for the extended finite element framework
dc.subject.lemacElements finits, Mètode dels
dc.subject.lemacMecànica -- Problemes, exercicis, etc.
dc.subject.lemacAnàlisi numèrica
dc.subject.lemacMecànica de fractura -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorRódenas, J.; González , O.; Díez, P.; Fuenmayor, F.
local.citation.publicationNameComputer methods in applied mechanics and engineering

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