RT Journal Article
T1 Analysis of a poro-thermo-viscoelastic model of type III
A1 Bazarra Garcia, Noelia
A1 López Campos, José Ángel
A1 López Lago, Marcos
A1 Segade Robleda, Abraham
A1 Fernández García, José Ramón
K1 1206 Análisis Numérico
K1 1202 Análisis y Análisis Funcional
AB In this work, we numerically study a thermo-mechanical problem arising in poro-viscoelasticity with the type III thermal law. The thermomechanical model leads to a linear system of three coupled hyperbolic partial differential equations, and its weak formulation as three coupled parabolic linear variational equations. Then, using the finite element method and the implicit Euler scheme, for the spatial approximation and the discretization of the time derivatives, respectively, a fully discrete algorithm is introduced. A priori error estimates are proved, and the linear convergence is obtained under some suitable regularity conditions. Finally, some numerical results, involving one- and two-dimensional examples, are described, showing the accuracy of the algorithm and the dependence of the solution with respect to some constitutive parameters.
PB Symmetry
SN 20738994
YR 2019
FD 2019-09-29
LK http://hdl.handle.net/11093/2073
UL http://hdl.handle.net/11093/2073
LA eng
NO Symmetry, 11(10): 1214 (2019)
NO Ministerio de Ciencia, Innovación y Universidades | Ref. PGC2018-096696-B-I00
DS Investigo
RD 04-dic-2024