no. 4
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
Keywords: 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},
     pages = {691--706},
     year = {2004},
     publisher = {EDP Sciences},
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     doi = {10.1051/m2an:2004029},
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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

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