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dc.contributor.authorParés Mariné, Núria
dc.contributor.authorDíez, Pedro
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2010-07-30T16:04:20Z
dc.date.available2010-07-30T16:04:20Z
dc.date.created2006-01
dc.date.issued2006-01
dc.identifier.citationPares, N.; Díez, P.; Huerta, A. Subdomain-based flux-free a posteriori error estimators. "Computer methods in applied mechanics and engineering", Gener 2006, vol. 195, núm. 4-6, p. 297-323.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/8508
dc.description.abstractA new residual type flux-free error estimator is presented. It estimates upper and lower bounds of the error in energy norm. The proposed approach precludes the main drawbacks of standard residual type estimators, circumvents the need of flux-equilibration and results in a simple implementation that uses standard resources available in finite element codes. This is specially interesting for 3D applications where the implementation of this technique is as simple as in 2D. Recall that on the contrary, the complexity of the flux-equilibration techniques increases drastically in the 3D case. The bounds for the energy norm of the error are used to produce upper and lower bounds of linear functional outputs, representing quantities of engineering interest. The presented estimators demonstrate their efficiency in numerical tests producing sharp estimates both for the energy and the quantities of interest.
dc.format.extent27 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshError analysis (Mathematics)
dc.subject.otherError estimation
dc.subject.otherError bounds
dc.subject.otherFunctional outputs
dc.subject.otherEngineering outputs
dc.subject.otherGoal-oriented error estimation
dc.subject.otherResidual-based estimators
dc.titleSubdomain-based flux-free a posteriori error estimators
dc.typeArticle
dc.subject.lemacAnàlisi d'error (Matemàtica)
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1016/j.cma.2004.06.047
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.identifier.drac672626
dc.description.versionPostprint (author’s final draft)
local.citation.authorPares, N.; Díez, P.; Huerta, A.
local.citation.publicationNameComputer methods in applied mechanics and engineering
local.citation.volume195
local.citation.number4-6
local.citation.startingPage297
local.citation.endingPage323


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