A dual-phase-lag porous-thermoelastic problem with microtemperatures

Autor:	N. Bazarra, J. R. Fernández, R. Quintanilla
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	dual-phase-lag porous-thermoelasticity with microtemperatures existence and uniqueness finite elements a priori error estimates numerical simulations Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 30, Iss 4, Pp 1236-1262 (2022)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2022065
Popis:	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.
Databáze:	Directory of Open Access Journals
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