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dc.contributor.authorBazarra, Noelia
dc.contributor.authorCopetti, Maria
dc.contributor.authorFernández, Jose R.
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationBazarra, N. [et al.]. Numerical analysis of a dual-phase-lag model with microtemperatures. "Applied numerical mathematics", Agost 2021, vol. 166, p. 1-25.
dc.description.abstractIn the last twenty years, the analysis of problems involving dual-phase-lag models has received an increasing attention. In this work, we consider the coupling between one of these models and the microtemperatures effects. In order to overcome the infinite speed paradox, two relaxation parameters are introduced for each evolution equation related to the temperature and the microtemperatures, leading to a system of linear parabolic partial differential equations. Its variational formulation is written in terms of the temperature acceleration and the microtemperatures acceleration. An energy decay property is proved. Next, fully discrete approximations are introduced by using the finite element method and the Euler scheme, proving a stability property and a discrete version of the energy decay, obtaining a priori error estimates and performing one- and two-dimensional numerical simulations
dc.format.extent41 p.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshFinite element method
dc.subject.lcshHeat --Transmission -- Simulation methods
dc.subject.otherFinite elements
dc.subject.otherDiscrete energy decay
dc.subject.otherA priori estimates
dc.subject.otherNumerical simulations
dc.titleNumerical analysis of a dual-phase-lag model with microtemperatures
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.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
dc.subject.amsClassificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
local.citation.authorBazarra, N.; Copetti, M.; Fernández, J.; Quintanilla, R.
local.citation.publicationNameApplied numerical mathematics

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