Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 2024

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

Baldonedo Jacobo, Fernández José R., Quintanilla Ramón

International Journal of Applied Mathematics and Computer Science

2024

Vol. 34, no. 1

93--103

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.