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Titel
Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm
VerfasserHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Kopacka, Ian
Erschienen in
SIAM Journal on Optimization, Philadelphia, Pa., 2009, Jg. 20, H. 2, S. 868-902
ErschienenSIAM
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)constrained optimal control / mathematical programs with complementarity constraints / MPEC / MPCC / MoreauYosida regularization / semismooth Newton method / C- and strong stationarity
ISSN1095-7189
URNurn:nbn:at:at-ubg:3-1163 Persistent Identifier (URN)
DOIdoi:10.1137/080720681 
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Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm [4.9 mb]
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Zusammenfassung (Englisch)

An optimal control problem governed by an elliptic variational inequality is studied. The feasible set of the problem is relaxed, and a pathfollowing-type method is used to regularize the constraint on the state variable. First order optimality conditions for the relaxed-regularized subproblems are derived, and convergence of stationary points with respect to the relaxation and regularization parameters is shown. In particular, C- and strong stationarity as well as variants thereof are studied. The subproblems are solved by using semismooth Newton methods. The overall algorithmic concept is provided, and its performance is discussed by means of examples, including problems with bilateral constraints and a nonsymmetric operator.

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