Universitat Politècnica de Catalunya
Universitat Politècnica de Catalunya. Departament de Matemàtiques
2023-01
In this work, we numerically study a problem including several dissipative mechanisms. A particular case involving the symmetry of the coupling matrix and three mechanisms is considered, leading to the exponential decay of the corresponding solutions. Then, a fully discrete approximation of the general case in two dimensions is introduced by using the finite element method and the implicit Euler scheme. A priori error estimates are obtained and the linear convergence is derived under some appropriate regularity conditions on the continuous solution. Finally, some numerical simulations are performed to illustrate the numerical convergence and the behavior of the discrete energy depending on the number of dissipative mechanisms
Peer Reviewed
Postprint (published version)
Article
English
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències; Thermoelasticity; Thermoelasticity; Dissipation mechanisms; Finite elements; A priori error estimates; Numerical simulations; Discrete energy decay; Termoelasticitat; Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems; Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects; Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures
https://link.springer.com/article/10.1007/s11012-022-01628-z
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/
http://creativecommons.org/licenses/by/4.0/
Open Access
Attribution 4.0 International
E-prints [72986]
