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A type III thermoelastic problem with mixtures Bazarra, Noelia Fernández, Jose R. Quintanilla de Latorre, Ramón Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències Thermoelasticity Mixtures themoelasticity of type III Existence and uniqueness Finite elements A priori error analysis Numerical simulations Termoelasticitat Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application In this work we study a thermoelastic problem involving binary mixtures. Type III thermal theory is considered for the modeling of the heat conduction. Existence, uniqueness and continuous dependence of solutions are proved by using the semigroup theory. Then, the numerical analysis of the resulting variational problem is considered, by using the finite element method for the spatial approximation and the implicit Euler scheme to discretize the time derivatives. An a priori error analysis is performed and the linear convergence is derived under adequate additional regularity conditions. Finally, some numerical examples involving one- and two-dimensional examples are shown to demonstrate the convergence of the approximations and the behavior of the solution Peer Reviewed Postprint (author's final draft) 2021-06 Article Bazarra, N.; Fernández, J.; Quintanilla, R. A type III thermoelastic problem with mixtures. "Journal of computational and applied mathematics", Juny 2021, vol. 389, art. 113357. 0377-0427 https://hdl.handle.net/2117/335976 10.1016/j.cam.2020.113357 eng https://www.sciencedirect.com/science/article/abs/pii/S0377042720306488 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/ info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P https://creativecommons.org/licenses/by-nc-nd/4.0/ Open Access Attribution-NonCommercial-NoDerivatives 4.0 International application/pdf