RT Journal Article
T1 Numerical approximation of some poro-elastic problems with MGT-type dissipation mechanisms
A1 Bazarra Garcia, Noelia
A1 Fernández García, José Ramón
A1 Quintanilla, Ramón
K1 1206 Análisis Numérico
K1 1299 Otras Especialidades Matemáticas
AB In this work, we numerically analyze a porous elastic problem including several dissipation mechanisms of MGT type. The resulting variational problem is written in terms of the acceleration and the porosity speed. An existence and uniqueness result is recalled. Then, fully discrete approximations are introduced by using the classical finite element method and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved from which the linear convergence of the approximation is derived. Finally, some numerical simulations are presented to show the accuracy of the approximation, the discrete energy decay and the behavior of the solution.
PB Applied Numerical Mathematics
SN 01689274
YR 2022
FD 2022-07
LK http://hdl.handle.net/11093/3325
UL http://hdl.handle.net/11093/3325
LA eng
NO Applied Numerical Mathematics, 177, 123-136 (2022)
NO Financiado para publicación en acceso aberto: Universidade de Vigo/CISUG
NO Agencia Estatal de Investigación | Ref. PID2019-105118GB-I00
DS Investigo
RD 05-dic-2024