@article{Bazarra2022, 
author = {N. Bazarra and J. R. Fernández and R. Quintanilla},
title = {A dual-phase-lag porous-thermoelastic problem with microtemperatures},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {4},
pages = {1236-1262},
keywords = {numerical simulations, existence and uniqueness, finite elements, a priori error estimates, dual-phase-lag, porous-thermoelasticity with microtemperatures},
url = {https://www.sciopen.com/article/10.3934/era.2022065},
doi = {10.3934/era.2022065},
abstract = {In this work, we consider a multi-dimensional dual-phase-lag problem arising in porous-thermoelasticity with microtemperatures. An existence and uniqueness result is proved by applying the semigroup of linear operators theory. Then, by using the finite element method and the Euler scheme, a fully discrete approximation is numerically studied, proving a discrete stability property and a priori error estimates. Finally, we perform some numerical simulations to demonstrate the accuracy of the approximation and the behavior of the solution in one- and two-dimensional problems.}
}