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Títol:	Numerical resolution of an exact heat conduction model with a delay term
Autor/a:	Campo, Marco; Fernández, José Ramón; Quintanilla de Latorre, Ramón
Altres autors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
Abstract:	In this paper we analyze, from the numerical point of view, a dynamic thermoelastic problem. Here, the so-called exact heat conduction model with a delay term is used to obtain the heat evolution. Thus, the thermomechanical problem is written as a coupled system of partial differential equations, and its variational formulation leads to a system written in terms of the velocity and the temperature fields. An existence and uniqueness result is recalled. Then, fully discrete approximations are introduced by using the classical finite element method to approximate the spatial variable and the implicit Euler scheme to discretize the time derivatives. A priori error estimates are proved, from which the linear convergence of the algorithm could be derived under suitable additional regularity conditions. Finally, a two-dimensional numerical example is solved to show the accuracy of the approximation and the decay of the discrete energy.
Abstract:	Peer Reviewed
Matèries:	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -Thermoelasticity -Heat --Transmission -- Mathematical models -Thermoelasticity -exact heat condution -delay parameter -finite elements -a priori error estimates -Termoelasticitat -Calor -- Transmissió -- Models matemàtics -Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures -Classificació AMS::35 Partial differential equations::35G General higher-order equations and systems -Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications -Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects -Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Drets:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipus de document:	Article - Versió publicada Article
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