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dc.contributor.authorBazarra, Noelia
dc.contributor.authorCampo, Marco
dc.contributor.authorFernández, José Ramón
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-02-14T11:31:05Z
dc.date.available2021-01-31T01:31:09Z
dc.date.issued2019-06
dc.identifier.citationBazarra, N. [et al.]. Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction. "Applied numerical mathematics", Vol. 140, Juny 2019, p. 76-90.
dc.identifier.issn0168-9274
dc.identifier.urihttp://hdl.handle.net/2117/129114
dc.description.abstractIn this paper we study, from the numerical point of view, a thermoelastic problem with dual-phase-lag heat conduction. The variational formulation is written as a coupled system of hyperbolic linear variational equations. An existence and uniqueness result is recalled. Then, fully discrete approximations are introduced by using the finite element method and the implicit Euler scheme. A discrete stability result is proved and a priori error estimates are obtained, from which the linear convergence of the algorithm is deduced under suitable additional regularity conditions. Finally, some two-dimensional numerical simulations are presented to demonstrate the accuracy of the approximation and the behaviour of the solution.
dc.format.extent15 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.lcshFinite element method
dc.subject.lcshHeat --Transmission -- Simulation methods
dc.subject.otherThermoelasticity
dc.subject.otherDual-phase-lag
dc.subject.otherFinite elements
dc.subject.otherDiscrete stability
dc.subject.otherA priori estimates
dc.subject.otherNumerical results
dc.titleNumerical analysis of a thermoelastic problem with dual-phase-lag heat conduction
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.subject.lemacElements finits, Mètode dels
dc.subject.lemacCalor -- Transmissió -- Mètodes de simulació
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1016/j.apnum.2019.01.010
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.subject.amsClassificació AMS::35 Partial differential equations
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0168927419300212
dc.rights.accessOpen Access
local.identifier.drac23659197
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
local.citation.authorBazarra, N.; Campo, M.; Fernández, J.; Quintanilla, R.
local.citation.publicationNameApplied numerical mathematics
local.citation.volume140
local.citation.startingPage76
local.citation.endingPage90


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