Numerical analysis of some dual-phase-lag models
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10.1016/j.camwa.2018.09.044
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/122914
Tipus de documentArticle
Data publicació2019-01-15
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
In this paper we analyse, from the numerical point of view, two dual-phase-lag models appearing in the heat conduction theory. Both models are written as linear partial differential equations of third order in time. The variational formulations, written in terms of the thermal acceleration, lead to linear variational equations, for which existence and uniqueness
results, and energy decay properties, are recalled. Then, fully discrete approximations are introduced for both models using the finite element method to approximate the spatial variable and the implicit Euler scheme to discretize the time derivatives. Discrete stability properties are proved, and a priori error estimates are obtained, from which the linear convergence of the approximations is derived. Finally, some numerical simulations are described in one and two dimensions to demonstrate the accuracy of the approximations and the behaviour of the solutions
CitacióBazarra, N., Copetti, M., Fernández, J., Quintanilla, R. Numerical analysis of some dual-phase-lag models. "Computers & mathematics with applications", 15 Gener 2019, vol. 77, núm. 2, p. 407-426.
ISSN0898-1221
Versió de l'editorhttps://www.sciencedirect.com/science/article/pii/S089812211830556X
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