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Use of Augmented Lagrangian Methods for the Optimal Control of Obstacle Problems

Author

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  • M. Bergounioux

    (Université d'Orléans)

Abstract

We investigate optimal control problems governed by variational inequalities involving constraints on the control, and more precisely the example of the obstacle problem. In this paper, we discuss some augmented Lagrangian algorithms to compute the solution.

Suggested Citation

  • M. Bergounioux, 1997. "Use of Augmented Lagrangian Methods for the Optimal Control of Obstacle Problems," Journal of Optimization Theory and Applications, Springer, vol. 95(1), pages 101-126, October.
    • Handle: RePEc:spr:joptap:v:95:y:1997:i:1:d:10.1023_a:1022635428708
    DOI: 10.1023/A:1022635428708
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    Cited by:

    1. Mahdi Boukrouche & Domingo Tarzia, 2012. "Convergence of distributed optimal control problems governed by elliptic variational inequalities," Computational Optimization and Applications, Springer, vol. 53(2), pages 375-393, October.
    2. Yarui Duan & Song Wang & Yuying Zhou, 2021. "A power penalty approach to a mixed quasilinear elliptic complementarity problem," Journal of Global Optimization, Springer, vol. 81(4), pages 901-918, December.
    3. M. Hintermüller & I. Kopacka, 2011. "A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs," Computational Optimization and Applications, Springer, vol. 50(1), pages 111-145, September.
    4. Victor A. Kovtunenko & Karl Kunisch, 2022. "Shape Derivative for Penalty-Constrained Nonsmooth–Nonconvex Optimization: Cohesive Crack Problem," Journal of Optimization Theory and Applications, Springer, vol. 194(2), pages 597-635, August.

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