Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/optimal-control-of-a-frictional-contact-problem-l07eHURvn5
References (21)
-
F. Mignot, J. Puel (1984)
Optimal control in some variational inequalitiesBanach Center Publications, 14
-
F. Mignot (1976)
Contrôle dans les inéquations variationelles elliptiquesJournal of Functional Analysis, 22
-
V. Barbu (1993)
Analysis and control of nonlinear infinite dimensional systems -
M. Sofonea, A. Matei (2009)
Variational Inequalities with Applications: a study of Antiplane Frictional Contact Problems Advances in Mechanics and Mathematics -
J. Lov, I. Sek (1994)
Optimal Control of a Variational Inequality with Possibly Nonsymmetric Linear Operator. Application to the Obstacle Problems in Mathematical Physics -
Karl KunischyOctober (2007)
Optimal Control of Elliptic Variational Inequalities -
A. Matei, S. Micu (2011)
Boundary optimal control for nonlinear antiplane problemsNonlinear Anal., Theory Methods Appl., Ser. A. Theory Methods, 74
-
R. Mignot, J.-P. Puel (1984)
Optimal control in some variational inequalitiesSIAM, J. Control Optim., 22
-
P. Neittaanmäki, J. Sprekels, D. Tiba (2005)
Optimization of Elliptic Systems: Theory and Applications -
M. Sofonea, A. Matei (2009)
Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems -
A. Bermúdez, C. Saguez (1987)
Optimal control of a Signorini problemSiam Journal on Control and Optimization, 25
-
F. Patrone (1975)
On the Optimal Control of Variational Inequalities -
N. Kikuchi, J.T. Oden (1988)
Contact problems in elasticity: a study of variational inequalities and finite element methods, vol. 8 of SIAM Studies in Applied Mathematics -
A. Amassad, D. Chenais, C. Fabre (2002)
Optimal control of an elastic contact problem involving Tresca friction lawNonlinear Analysis-theory Methods & Applications, 48
-
(2010)
The control variational problem method for elastic contact problems -
G. Duvaut, J. Lions (1973)
Les inéquations en mécanique et en physiqueMathematics of Computation, 27
-
N. Kikuchi, J. Oden (1987)
Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods -
(1968)
Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles -
V. Barbu (1984)
Optimal Control Variational Inequalities -
A. Capatina (2000)
Optimal control of a signorini contact problemNumerical Functional Analysis and Optimization, 21
-
A. Matei, S. Micu (2011)
Boundary optimal control for nonlinear antiplane problemsFuel and Energy Abstracts
- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-015-0519-8
- Publisher site
- See Article on Publisher Site
Abstract
We consider a mathematical model which describes a contact between a deformable body and a foundation. The contact is bilateral and modelled with Tresca’s friction law. The goal of this paper is to study an optimal control problem which consists of leading the stress tensor as close as possible to a given target, by acting with a control on the boundary of the body. We state an optimal control problem which admits at least one solution. We also introduce the regularized control problem for which we study the convergence when the regularization parameter tends to zero. Finally, an optimally condition is established for this problem.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Nov 3, 2015