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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.
@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 },
pages = {691--706},
publisher = {EDP-Sciences},
volume = {38},
number = {4},
year = {2004},
doi = {10.1051/m2an:2004029},
mrnumber = {2087730},
zbl = {1080.74036},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004029/}
}
TY - JOUR AU - Copetti, Maria I. M. TI - Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2004 SP - 691 EP - 706 VL - 38 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004029/ DO - 10.1051/m2an:2004029 LA - en ID - M2AN_2004__38_4_691_0 ER -
%0 Journal Article %A Copetti, Maria I. M. %T Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2004 %P 691-706 %V 38 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004029/ %R 10.1051/m2an:2004029 %G en %F 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 , Tome 38 (2004) no. 4, pp. 691-706. doi: 10.1051/m2an:2004029
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