# Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 38, Issue: 4, page 691-706
- ISSN: 0764-583X

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topCopetti, Maria I.M.. "Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle." ESAIM: Mathematical Modelling and Numerical Analysis 38.4 (2010): 691-706. <http://eudml.org/doc/194234>.

@article{Copetti2010,

abstract = {
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.
},

author = {Copetti, Maria I.M.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Thermoviscoelasticity; dynamic contact problem; finite element approximation; numerical simulations.; hyperbolic-parabolic problem; existence; uniqueness},

language = {eng},

month = {3},

number = {4},

pages = {691-706},

publisher = {EDP Sciences},

title = {Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle},

url = {http://eudml.org/doc/194234},

volume = {38},

year = {2010},

}

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

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 4

SP - 691

EP - 706

AB -
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.

LA - eng

KW - Thermoviscoelasticity; dynamic contact problem; finite element approximation; numerical simulations.; hyperbolic-parabolic problem; existence; uniqueness

UR - http://eudml.org/doc/194234

ER -

## References

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