Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization (Q2709440)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization |
scientific article |
Statements
21 January 2002
0 references
inverse problem
0 references
elliptic variational inequality
0 references
inverse elastohydrodynamic lubrication problem
0 references
least squares method
0 references
optimal control
0 references
primal-dual penalization technique
0 references
complementarity functions
0 references
algorithm
0 references
Gauss-Newton method
0 references
numerical tests
0 references
0 references
0 references
Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization (English)
0 references
The identification of a distributed parameter in an elliptic variational inequality is considered. A practical application is the inverse elastohydrodynamic lubrication problem. Using the least squares method leads to a bilevel optimal control problem. The classical Lagrange multipliers approach fails. The author uses a primal-dual penalization technique. The optimality system for the optimal control problem, which is derived on the basis of this penalization technique, and the use of the concept of complementarity functions lead to a numerical algorithm. NEWLINENEWLINENEWLINEThe discretized first order optimality conditions system is solved by a stabilized Gauss-Newton method. Numerical tests are presented.
0 references
