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An a priori error analysis of poro-thermoviscoelastic problems

Author
Bazarra, N.; Fernández, J.; Quintanilla, R.
Type of activity
Journal article
Journal
Applied mathematics and computation
Date of publication
2020-08-15
Volume
379
First page
125268-1
Last page
125268-15
DOI
10.1016/j.amc.2020.125268
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/184016 Open in new window
URL
https://www.sciencedirect.com/science/article/abs/pii/S009630032030237X Open in new window
Abstract
In this paper, we study, from the numerical point of view, a dynamic one-dimensional problem arising in thermoelasticity and thermoviscoelasticity of types II and III. Porosity is also included into the models. The generic variational formulation leads to a coupled system written in terms of the velocity, the volume fraction speed and the temperature. Fully discrete approximations are then introduced by using the finite element method and the implicit Euler scheme. A discrete stability property ...
Citation
Bazarra, N.; Fernández, J.; Quintanilla, R. An a priori error analysis of poro-thermoviscoelastic problems. "Applied mathematics and computation", 15 Agost 2020, vol. 379, p. 125268-1-125268-15.
Keywords
A priori error estimates, Finite elements, Porosity, Thermoelasticity of types II and III, Thermoviscoelasticity of types II and III
Group of research
GRAA - Research Group in Applied Analysis

Participants