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Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction
dc.contributor.author | Bazarra, Noelia |
dc.contributor.author | Campo, Marco |
dc.contributor.author | Fernández, José Ramón |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-02-14T11:31:05Z |
dc.date.available | 2021-01-31T01:31:09Z |
dc.date.issued | 2019-06 |
dc.identifier.citation | Bazarra, 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.issn | 0168-9274 |
dc.identifier.uri | http://hdl.handle.net/2117/129114 |
dc.description.abstract | In 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.extent | 15 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Thermoelasticity |
dc.subject.lcsh | Finite element method |
dc.subject.lcsh | Heat --Transmission -- Simulation methods |
dc.subject.other | Thermoelasticity |
dc.subject.other | Dual-phase-lag |
dc.subject.other | Finite elements |
dc.subject.other | Discrete stability |
dc.subject.other | A priori estimates |
dc.subject.other | Numerical results |
dc.title | Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
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.2019.01.010 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
dc.subject.ams | Classificació AMS::35 Partial differential equations |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0168927419300212 |
dc.rights.access | Open Access |
local.identifier.drac | 23659197 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
local.citation.author | Bazarra, N.; Campo, M.; Fernández, J.; Quintanilla, R. |
local.citation.publicationName | Applied numerical mathematics |
local.citation.volume | 140 |
local.citation.startingPage | 76 |
local.citation.endingPage | 90 |
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