| Issue |
ESAIM: M2AN
Volume 38, Number 4, July-August 2004
|
|
|---|---|---|
| Page(s) | 691 - 706 | |
| DOI | https://doi.org/10.1051/m2an:2004029 | |
| Published online | 15 August 2004 | |
Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
Laboratório de Análise Numérica e Astrofísica, Departamento de Matemática, Universidade Federal de Santa Maria, 97119-900 Santa Maria, RS, Brazil. mimc@lana.ccne.ufsm.br.
Received:
19
May
2003
Revised:
2
March
2004
Revised:
18
May
2004
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.
Mathematics Subject Classification: 65N30
Key words: Thermoviscoelasticity / dynamic contact problem / finite element approximation / numerical simulations.
© EDP Sciences, SMAI, 2004
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