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Analysis for the strain gradient theory of porous thermoelasticity

Author
Fernández, J.; Magaña, A.; Masid, M.; Quintanilla, R.
Type of activity
Journal article
Journal
Journal of computational and applied mathematics
Date of publication
2019-01-01
Volume
345
First page
247
Last page
268
DOI
https://doi.org/10.1016/j.cam.2018.06.045 Open in new window
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/121750 Open in new window
Abstract
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...
Citation
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.
Keywords
Error estimates, Existence and uniqueness, Exponential decay, Finite elements, Strain gradient, Thermo-elasticity
Group of research
GRAA - Research Group in Applied Analysis
GRTJ - Game Theory Research Group

Participants