Geodesic
Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 4, pp. 691-706 Cet article a éte moissonné depuis la source 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.

DOI : 10.1051/m2an:2004029
Classification : 65N30
Keywords: thermoviscoelasticity, dynamic contact problem, finite element approximation, numerical simulations 
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     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 },
     pages = {691--706},
     year = {2004},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {4},
     doi = {10.1051/m2an:2004029},
     mrnumber = {2087730},
     zbl = {1080.74036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/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: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 4, pp. 691-706. doi: 10.1051/m2an:2004029

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