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thermoviscoelasticity

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Numerical approximation of dynamic deformationsof a thermoviscoelastic rod against an elastic obstacle
Maria I.M. Copetti
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 38 / Issue 4 / July 2004

Published online by Cambridge University Press:

15 August 2004, pp. 691-706

Print publication:

July 2004
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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.