Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 4, pp. 691-706.

In this paper we consider a hyperbolic-parabolic problem that models the longitudinal deformations of a thermoviscoelastic rod supported unilaterally by an elastic obstacle. The existence and uniqueness of a strong solution is shown. A finite element approximation is proposed and its convergence is proved. Numerical experiments are reported.

DOI : 10.1051/m2an:2004029
Classification : 65N30
Mots-clés : thermoviscoelasticity, dynamic contact problem, finite element approximation, numerical simulations 
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     title = {Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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Copetti, Maria I. M. Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle. ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 4, pp. 691-706. doi : 10.1051/m2an:2004029. http://archive.numdam.org/articles/10.1051/m2an:2004029/

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