Optimal control of a frictionless contact problem with normal compliance

Arezki Touzaline

Commentationes Mathematicae Universitatis Carolinae (2018)

  • Volume: 59, Issue: 3, page 327-342
  • ISSN: 0010-2628

Abstract

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We consider a mathematical model which describes a contact between an elastic body and a foundation. The contact is frictionless with normal compliance. 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. Next, we establish an optimality condition corresponding to a regularization of the model. We also introduce the regularized control problem for which we study the convergence when the regularization parameter tends to zero.

How to cite

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Touzaline, Arezki. "Optimal control of a frictionless contact problem with normal compliance." Commentationes Mathematicae Universitatis Carolinae 59.3 (2018): 327-342. <http://eudml.org/doc/294274>.

@article{Touzaline2018,
abstract = {We consider a mathematical model which describes a contact between an elastic body and a foundation. The contact is frictionless with normal compliance. 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. Next, we establish an optimality condition corresponding to a regularization of the model. We also introduce the regularized control problem for which we study the convergence when the regularization parameter tends to zero.},
author = {Touzaline, Arezki},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {optimal control; variational inequality; linear elastic frictionless contact; regularized problem},
language = {eng},
number = {3},
pages = {327-342},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Optimal control of a frictionless contact problem with normal compliance},
url = {http://eudml.org/doc/294274},
volume = {59},
year = {2018},
}

TY - JOUR
AU - Touzaline, Arezki
TI - Optimal control of a frictionless contact problem with normal compliance
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 3
SP - 327
EP - 342
AB - We consider a mathematical model which describes a contact between an elastic body and a foundation. The contact is frictionless with normal compliance. 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. Next, we establish an optimality condition corresponding to a regularization of the model. We also introduce the regularized control problem for which we study the convergence when the regularization parameter tends to zero.
LA - eng
KW - optimal control; variational inequality; linear elastic frictionless contact; regularized problem
UR - http://eudml.org/doc/294274
ER -

References

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