RT Journal Article
T1 Quasistatic porous-thermoelastic problems: an a priori error analysis
A1 González Baldonedo, Jacobo
A1 Fernández García, José Ramón
A1 López Campos, José Ángel
K1 1206 Análisis Numérico
K1 1202 Análisis y Análisis Funcional
K1 2213 Termodinámica
AB In this paper, we deal with the numerical approximation of some porous-thermoelastic problems. Since the inertial effects are assumed to be negligible, the resulting motion equations are quasistatic. Then, by using the finite element method and the implicit Euler scheme, a fully discrete approximation is introduced. We prove a discrete stability property and a main error estimates result, from which we conclude the linear convergence under appropriate regularity conditions on the continuous solution. Finally, several numerical simulations are shown to demonstrate the accuracy of the approximation, the behavior of the solution and the decay of the discrete energy.
PB Mathematics
SN 22277390
YR 2021
FD 2021-06-20
LK http://hdl.handle.net/11093/2539
UL http://hdl.handle.net/11093/2539
LA eng
NO Mathematics, 9(12): 1436 (2021)
NO Ministerio de Ciencia, Innovación y Universidades | Ref. PGC2018-096696-B-I00
DS Investigo
RD 14-ene-2025