Augmented Lagrangian methods for a class of convex and nonconvex contact problems (Q2766008)
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scientific article; zbMATH DE number 1695274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Augmented Lagrangian methods for a class of convex and nonconvex contact problems |
scientific article; zbMATH DE number 1695274 |
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2001
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unilateral contact
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linear Kirchhoff plate model
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Reissner plate model
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nonconvex duality theory
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0.93553215
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0.91752696
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0.91679704
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0.91375387
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0.91249555
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0.9117919
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0.91124076
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0.9104934
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Augmented Lagrangian methods for a class of convex and nonconvex contact problems (English)
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This paper studies unilateral contact problems without friction for linear Kirchhoff plate model and Reissner plate model, with a nonconvex extension of \textit{K. Ito} and \textit{K. Kunisch} [SIAM J. Control Optimization 33, No. 2, 643--666 (1995; Zbl 0817.49030)] augmented Lagrangian method, and with the nonconvex duality theory by \textit{R. T. Rockafellar} and \textit{R. J.-B. Wets} [Variational analysis. Grundlagen der Mathematischen Wissenschaften. 317. Berlin: Springer. xii (1998; Zbl 0888.49001)] which has been extended to continuous systems. Some specific examples have also been provided. Related results can be found in \textit{K. Ito} and \textit{K. Kunisch} [Nonlinear Anal., Theory Methods Appl. 41A, No. 5--6, 591--615 (2000; Zbl 0971.49014)].
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