Tuesday, 13:15 - 13:40 h, Room: MA 313

 

Daniel Wachsmuth
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities

Coauthors: Karl Kunisch, Anton Schiela

 

Abstract:
In the talk an optimal control problem subject to a stationary variational inequality
is investigated. The optimal control problem is complemented with pointwise control constraints.
The convergence of a smoothing scheme is analyzed. There, the variational inequality
is replaced by a semilinear elliptic equation. It is shown that solutions of the regularized optimal
control problem converge to solutions of the original one. Passing to the limit in the
optimality system of the regularized problem allows to prove C-stationarity of local solutions of the original problem.
Moreover, convergence rates with respect to the regularization parameter for the error in the control are obtained.
These rates coincide with rates obtained by numerical experiments.

 

Talk 1 of the invited session Tue.2.MA 313
"MPECs in function space I" [...]
Cluster 3
"Complementarity & variational inequalities" [...]

 

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