Optimal control of friction coefficient in Signorini contact problems

The optimal control of friction coefficient in Signorini contact problem is handled. First, we give the Tikhonov regularized optimal control problem subject to quasivariational inequality of the second kind. Since the relation control‐state is weak, we introduce another penalized control problem bas...

Full description

Saved in:
Bibliographic Details
Published inOptimal control applications & methods Vol. 42; no. 6; pp. 1794 - 1811
Main Authors Essoufi, El‐Hassan, Zafrar, Abderrahim
Format Journal Article
LanguageEnglish
Published Glasgow Wiley Subscription Services, Inc 01.11.2021
Subjects
Algorithms
Coefficient of friction
contact
Cost function
friction
Inequality
Optimal control
Optimization
unilateral problems
variational inequalities
Online AccessGet full text

Cover

More Information
Summary:The optimal control of friction coefficient in Signorini contact problem is handled. First, we give the Tikhonov regularized optimal control problem subject to quasivariational inequality of the second kind. Since the relation control‐state is weak, we introduce another penalized control problem based algorithm of Bensoussan–Lions type applied to the quasi‐variational inequality. In order to get the optimality condition, and since the cost function is not differentiable, the quasi‐variational inequality is regularized to be a variational equality.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2765