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dc.contributor.authorNadal, E.
dc.contributor.authorDíez, Pedro
dc.contributor.authorRódenas García, Juan José
dc.contributor.authorTur, M
dc.contributor.authorFuenmayor, F. J.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2015-10-22T11:30:32Z
dc.date.available2017-04-15T00:30:23Z
dc.date.issued2015-04-15
dc.identifier.citationNadal, E., Diez, P., Ródenas, J., Tur, M., Fuenmayor, F. A recovery-explicit error estimator in energy norm for linear elasticity. "Computer methods in applied mechanics and engineering", 15 Abril 2015, vol. 287, p. 172-190.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/78132
dc.description.abstractSignificant research effort has been devoted to produce one-sided error estimates for Finite Element Analyses, in particular to provide upper bounds of the actual error. Typically, this has been achieved using residual-type estimates. One of the most popular and simpler (in terms of implementation) techniques used in commercial codes is the recovery-based error estimator. This technique produces accurate estimations of the exact error but is not designed to naturally produce upper bounds of the error in energy norm. Some attempts to remedy this situation provide bounds depending on unknown constants. Here, a new step towards obtaining error bounds from the recovery-based estimates is proposed. The idea is (1) to use a locally equilibrated recovery technique to obtain an accurate estimation of the exact error, (2) to add an explicit-type error bound of the lack of equilibrium of the recovered stresses in order to guarantee a bound of the actual error and (3) to efficiently and accurately evaluate the constants appearing in the bounding expressions, thus providing asymptotic bounds. The numerical tests with h-adaptive refinement process show that the bounding property holds even for coarse meshes, providing upper bounds in practical applications. (C) 2015 Elsevier B.V. All rights reserved.
dc.format.extent19 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshNumerical analysis
dc.subject.otherError bounding
dc.subject.otherRecovery techniques
dc.subject.otherExplicit residual error estimator
dc.subject.otherA-POSTERIORI ERROR
dc.subject.otherSUPERCONVERGENT PATCH RECOVERY
dc.subject.otherFINITE-ELEMENT-METHOD
dc.subject.otherIN FIELD-EQUATIONS
dc.subject.otherAVERAGING TECHNIQUE
dc.subject.otherSTRESS-FIELDS
dc.subject.otherEQUILIBRIUM
dc.subject.otherFE
dc.subject.otherMECHANICS
dc.subject.otherBOUNDS
dc.titleA recovery-explicit error estimator in energy norm for linear elasticity
dc.typeArticle
dc.subject.lemacElements finits, Mètode dels
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1016/j.cma.2015.01.013
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65G Error analysis and interval analysis
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0045782515000262
dc.rights.accessOpen Access
drac.iddocument15578047
dc.description.versionPostprint (author’s final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/289361/EU/Integrating Numerical Simulation and Geometric DesignTechnology/INSIST
upcommons.citation.authorNadal, E., Diez, P., Ródenas, J., Tur, M., Fuenmayor, F.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameComputer methods in applied mechanics and engineering
upcommons.citation.volume287
upcommons.citation.startingPage172
upcommons.citation.endingPage190


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