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dc.contributor.authorCottereau, R
dc.contributor.authorDíez, Pedro
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2010-07-29T17:39:22Z
dc.date.available2010-07-29T17:39:22Z
dc.date.created2009-09
dc.date.issued2009-09
dc.identifier.citationCottereau, R.; Díez, P.; Huerta, A. Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method. "Computational mechanics", Setembre 2009, vol. 44, núm. 4, The original publication is available at http://www.springerlink.com/content/b6041881505t6641/, p. 533-547.
dc.identifier.issn0178-7675
dc.identifier.urihttp://hdl.handle.net/2117/8476
dc.description.abstractWe discuss, in this paper, a flux-free method for the computation of strict upper bounds of the energy norm of the error in a Finite Element (FE) computation. The bounds are strict in the sense that they refer to the difference between the displacement computed on the FE mesh and the exact displacement, solution of the continuous equations, rather than to the difference between the displacements computed on two FE meshes, one coarse and one refined. This method is based on the resolution of a series of local problems on patches of elements and does not require the resolution of a previous problem of flux equilibration, as happens with other methods. The paper concentrates more specifically on linear solid mechanics issues, and on the assessment of the energy norm of the error, seen as a necessary tool for the estimation of the error in arbitrary quantities of interest (linear functional outputs). Applications in both 2D and 3D are presented.
dc.format.extent15 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Física::Física de l'estat sòlid
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshSolids--Mechanical properties
dc.subject.lcshFinite element method
dc.subject.otherVerification
dc.subject.otherA posteriori error estimation
dc.subject.otherError bounds
dc.subject.otherResidual-based estimators
dc.subject.otherFlux-free error estimator
dc.titleStrict error bounds for linear solid mechanics problems using a subdomain-based flux-free method
dc.typeArticle
dc.subject.lemacElements finits, Mètode dels -- Anàlisi numèrica
dc.subject.lemacMecànica dels sòlids
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1007/s00466-009-0388-1
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.identifier.drac672822
dc.description.versionPostprint (author’s final draft)
local.citation.authorCottereau, R.; Díez, P.; Huerta, A.
local.citation.otherThe original publication is available at http://www.springerlink.com/content/b6041881505t6641/
local.citation.publicationNameComputational mechanics
local.citation.volume44
local.citation.number4
local.citation.startingPage533
local.citation.endingPage547


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