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dc.contributor.authorBaldonado, Jacobo
dc.contributor.authorBazarra, Noelia
dc.contributor.authorFernández, Jose R.
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-07-29T10:07:43Z
dc.date.issued2020-07-08
dc.identifier.citationBaldonado, J. [et al.]. An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures. "Acta mechanica", 8 Juliol 2020, p. 1-27.
dc.identifier.issn0001-5970
dc.identifier.urihttp://hdl.handle.net/2117/327958
dc.description.abstractIn this paper, we deal with the numerical analysis of the Lord–Shulman thermoelastic problem with porosity and microtemperatures. The thermomechanical problem leads to a coupled system composed of linear hyperbolic partial differential equations written in terms of transformations of the displacement field and the volume fraction, the temperature and the microtemperatures. An existence and uniqueness result is stated. Then, a fully discrete approximation is introduced using the finite element method and the implicit Euler scheme. A discrete stability property is shown, and an a priori error analysis is provided, from which the linear convergence is derived under suitable regularity conditions. Finally, some numerical simulations are presented to demonstrate the accuracy of the approximation, the comparison with the classical Fourier theory and the behavior of the solution in two-dimensional examples.
dc.format.extent27 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.otherThermoelasticity
dc.subject.otherMicrotemperatures
dc.subject.otherLord-Shulman
dc.subject.otherFinite elements
dc.subject.otherDiscrete stability
dc.subject.otherA priori estimates
dc.titleAn a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1007/s00707-020-02738-z
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00707-020-02738-z
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac28845573
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P
dc.date.lift2021-07-08
local.citation.authorBaldonado, J.; Bazarra, N.; Fernández, J.; Quintanilla, R.
local.citation.publicationNameActa mechanica
local.citation.startingPage1
local.citation.endingPage27


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