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Numerical analysis of a dual-phase-lag model with microtemperatures
dc.contributor.author | Bazarra, Noelia |
dc.contributor.author | Copetti, Maria |
dc.contributor.author | Fernández, Jose R. |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2021-03-26T12:39:20Z |
dc.date.available | 2023-03-24T01:27:35Z |
dc.date.issued | 2021-08 |
dc.identifier.citation | Bazarra, N. [et al.]. Numerical analysis of a dual-phase-lag model with microtemperatures. "Applied numerical mathematics", Agost 2021, vol. 166, p. 1-25. |
dc.identifier.issn | 0168-9274 |
dc.identifier.uri | http://hdl.handle.net/2117/342599 |
dc.description.abstract | In 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.extent | 41 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Finite element method |
dc.subject.lcsh | Heat --Transmission -- Simulation methods |
dc.subject.other | Dual-phase-lag |
dc.subject.other | Microtemperatures |
dc.subject.other | Finite elements |
dc.subject.other | Discrete energy decay |
dc.subject.other | A priori estimates |
dc.subject.other | Numerical simulations |
dc.title | Numerical analysis of a dual-phase-lag model with microtemperatures |
dc.type | Article |
dc.subject.lemac | Elements finits, Mètode dels |
dc.subject.lemac | Calor -- Transmissió -- Mètodes de simulació |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1016/j.apnum.2021.03.016 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/abs/pii/S0168927421000866 |
dc.rights.access | Open Access |
local.identifier.drac | 30839897 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105118GB-I00/ES/ANALISIS MATEMATICO APLICADO A LA TERMOMECANICA/ |
local.citation.author | Bazarra, N.; Copetti, M.; Fernández, J.; Quintanilla, R. |
local.citation.publicationName | Applied numerical mathematics |
local.citation.volume | 166 |
local.citation.startingPage | 1 |
local.citation.endingPage | 25 |
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