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Numerical resolution of an exact heat conduction model with a delay term

Author
Campo, M.; Fernández, J.; Quintanilla, R.
Type of activity
Journal article
Journal
Journal of applied analysis and computation
Date of publication
2019-02
Volume
9
Number
1
First page
332
Last page
344
DOI
10.11948/2019.332
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/128337 Open in new window
URL
http://jaac.ijournal.cn/ch/reader/view_abstract.aspx?file_no=JAAC-2018-0200&flag=1 Open in new window
Abstract
In this paper we analyze, from the numerical point of view, a dynamic thermoelastic problem. Here, the so-called exact heat conduction model with a delay term is used to obtain the heat evolution. Thus, the thermomechanical problem is written as a coupled system of partial differential equations, and its variational formulation leads to a system written in terms of the velocity and the temperature fields. An existence and uniqueness result is recalled. Then, fully discrete approximations are int...
Citation
Campo, M.; Fernández, J.; Quintanilla, R. Numerical resolution of an exact heat conduction model with a delay term. "Journal of applied analysis and computation", Febrer 2019, vol. 9, núm. 1, p. 332-344.
Keywords
Thermoelasticity, a priori error estimates, delay parameter, exact heat condution, finite elements
Group of research
GRAA - Research Group in Applied Analysis

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