Titelaufnahme

Titel
A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs
VerfasserHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Kopacka, Ian
Erschienen in
Computational Optimization and Applications, New York, NY [u.a.], 2011, Jg. 50, H. 1, S. 111-145
ErschienenSpringer
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Constrained optimal control / Elliptic variational inequality / MPEC / Mathematical programs with complementarity constraints / C-stationarity / Nonlinear multigrid
ISSN1573-2894
URNurn:nbn:at:at-ubg:3-1043 Persistent Identifier (URN)
DOIdoi:10.1007/s10589-009-9307-9 
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A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs [0.71 mb]
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Zusammenfassung (Englisch)

An optimal control problem governed by an elliptic variational inequality of the first kind and bilateral control constraints is studied. A smooth penalization technique for the variational inequality is applied and convergence of stationary points of the subproblems to an E-almost C-stationary point of the limit problem is shown. The subproblems are solved using a full approximation multigrid scheme (FAS) and alternatively a multigrid method of the second kind for which a convergence result is given. An overall algorithmic concept is provided and its performance is discussed by means of examples.

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