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An augmented Lagrangian technique for variational inequalities

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Abstract

A general framework for the treatment of a class of elliptic variational inequalities by an augmented Lagrangian method, when inequalities with infinite-dimensional image space are augmented, is developed. Applications to the obstacle problem, the elastoplastic torsion problem, and the Signorini problem are given.

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Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, 02912, Providence, RI, USA

    K. Ito

  2. Institut für Mathematik, Technische Universität Graz, Kopernikusgasse 24, A-8010, Graz, Austria

    K. Kunisch

Authors
  1. K. Ito
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  2. K. Kunisch
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Communicated by J. Stoer

The research of the first author was supported in part by the Air Force Office of Scientific Research under Grants AFOSR-84-0398 and AFOSR-85-0303, by the National Aeronautics and Space Administration under Grant NAG-1-1517, and by NSF under Grant No. UINT-8521208. The second author's research was supported in part by the Fonds zur Förderung der wissenschaftlichen Forschung under S3206 and P6005.

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Ito, K., Kunisch, K. An augmented Lagrangian technique for variational inequalities. Appl Math Optim 21, 223–241 (1990). https://doi.org/10.1007/BF01445164

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