Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction
Visualitza/Obre
10.1016/j.apnum.2019.01.010
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/129114
Tipus de documentArticle
Data publicació2019-06
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Projecte
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.
CitacióBazarra, 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.
ISSN0168-9274
Versió de l'editorhttps://www.sciencedirect.com/science/article/pii/S0168927419300212
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
thermoelastic problem.pdf | 319,5Kb | Visualitza/Obre |