Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
Copetti, Maria I. M.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004), p. 691-706 / Harvested from Numdam
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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.

Publié le : 2004-01-01
DOI : https://doi.org/10.1051/m2an:2004029
Classification:  65N30 
@article{M2AN_2004__38_4_691_0,
     author = {Copetti, Maria I. M.},
     title = {Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {38},
     year = {2004},
     pages = {691-706},
     doi = {10.1051/m2an:2004029},
     mrnumber = {2087730},
     zbl = {1080.74036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2004__38_4_691_0}
}

Copetti, Maria I. M. Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004) pp. 691-706. doi : 10.1051/m2an:2004029. http://gdmltest.u-ga.fr/item/M2AN_2004__38_4_691_0/

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