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Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction

Author
Bazarra, N.; Campo, M.; Fernández, J.; Quintanilla, R.
Type of activity
Journal article
Journal
Applied numerical mathematics
Date of publication
2019-06
Volume
140
First page
76
Last page
90
DOI
https://doi.org/10.1016/j.apnum.2019.01.010 Open in new window
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/129114 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0168927419300212 Open in new window
Abstract
In this paper we study, from the numerical point of view, a thermoelastic problem with dual-phase-lag heat conduction. The variational formulation is written as a coupled system of hyperbolic linear variational equations. An existence and uniqueness result is recalled. Then, fully discrete approximations are introduced by using the finite element method and the implicit Euler scheme. A discrete stability result is proved and a priori error estimates are obtained, from which the linear convergenc...
Citation
Bazarra, N. [et al.]. Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction. "Applied numerical mathematics", Vol. 140, Juny 2019, p. 76-90.
Keywords
A priori estimates, Discrete stability, Dual-phase-lag, Finite elements, Numerical results, Thermoelasticity
Group of research
GRAA - Research Group in Applied Analysis

Participants