Creator:

Baldonedo, Jacobo ; Fernández, José R. ; Quintanilla, Ramon

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Fully discrete approximations and an a priori error analysis of a two-temperature thermo-elastic model with microtemperatures

Group publication title:

AMCS, volume 34 (2024)

Subject and Keywords:

two temperatures ; poro-thermoelasticity ; microtemperatures ; finite elements ; "a priori" error estimates

Abstract:

In this paper, we consider, from a numerical point of view, a two-temperature poro-thermoelastic problem. The model is written as a coupled linear system of hyperbolic and elliptic partial differential equations. An existence result is proved and energy decay properties are recalled. Then we introduce a fully discrete approximation by using the finite element method and the implicit Euler scheme. Some "a priori" error estimates are obtained, from which the linear convergence of the approximation is deduced under an appropriate additional regularity. Finally, some numerical simulations are performed to demonstrate the accuracy of the approximation, the decay of the discrete energy and the behaviour of the solution depending on a constitutive parameter.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2024

Resource Type:

artykuł

DOI:

10.61822/amcs-2024-0007

Pages:

93-103

Source:

AMCS, volume 34, number 1 (2024) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego