Titelaufnahme

Titel
A duality-based semismooth Newton framework for solving variational inequalities of the second kind
Verfasser/ VerfasserinHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; De los Reyes, Juan C.
Erschienen in
Interfaces and Free Boundaries, 2011, Jg. 13, H. 4, S. 437-462
Ausgabe
Accepted version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Variational inequalities of the second kind / semi-smooth Newton methods / Moreau-Yosida regularization
Schlagwörter (GND)Newton-Verfahren / Variationsungleichung / Online-Publikation
URNurn:nbn:at:at-ubg:3-652 Persistent Identifier (URN)
DOIdoi:10.4171/IFB/267 
Zugriffsbeschränkung
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A duality-based semismooth Newton framework for solving variational inequalities of the second kind [1.08 mb]
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Zusammenfassung (Englisch)

In an appropriate function space setting, semismooth Newton methods are proposed for iteratively computing the solution of a rather general class of variational inequalities (VIs) of the second kind. The Newton scheme is based on the Fenchel dual of the original VI problem which is regularized if necessary. In the latter case, consistency of the regularization with respect to the original problem is studied. The application of the general framework to specific model problems including Bingham flows, simplified friction, or total variation regularization in mathematical imaging is described in detail. Finally, numerical experiments are presented in order to verify the theoretical results.

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