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Analysis for the strain gradient theory of porous thermoelasticity

Autor
Fernández, J.; Magaña, A.; Masid, M.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Journal of computational and applied mathematics
Data de publicació
2019-01-01
Volum
345
Pàgina inicial
247
Pàgina final
268
DOI
https://doi.org/10.1016/j.cam.2018.06.045 Obrir en finestra nova
Projecte finançador
Analisis matemàtico de problemas de la termomecánica
Repositori
http://hdl.handle.net/2117/121750 Obrir en finestra nova
Resum
In this paper, we analyse a model involving a strain gradient thermoelastic rod with voids. Existence and uniqueness, as well as an energy decay property, are proved by means of the semigroup arguments. The variational formulation is derived and then, a fully discrete approximation is introduced by using the finite element method to approximate the spatial variable and the implicit Euler scheme to discretize the time derivatives. A stability result and a priori error estimates are obtained, from...
Citació
Fernández, J., Magaña, A., Masid, M., Quintanilla, R. Analysis for the strain gradient theory of porous thermoelasticity. "Journal of computational and applied mathematics", 1 Gener 2019, vol. 345, p. 247-268.
Paraules clau
Error estimates, Existence and uniqueness, Exponential decay, Finite elements, Strain gradient, Thermo-elasticity
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada
GRTJ - Grup de Recerca en Teoria de Jocs

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