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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