Path-following for optimal control of stationary variational inequalities

DOI10.1007/s10589-011-9400-8zbMath1239.49010OpenAlexW1992945370MaRDI QIDQ429514

Daniel Wachsmuth, Karl Kunisch

Publication date: 19 June 2012

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-011-9400-8

zbMATH Keywords

optimal controlvariational inequalitiesregularizationsufficient optimality conditionssemi-smooth Newton methodpath-followingsensitivity equation

Mathematics Subject Classification ID

Variational inequalities (49J40) Newton-type methods (49M15) Optimality conditions for problems in abstract spaces (49K27)

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Cites Work

• Unnamed Item
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• An augmented Lagrangian technique for variational inequalities
• A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs
• Path-following and augmented Lagrangian methods for contact problems in linear elasticity
• Primal-dual interior-point methods for PDE-constrained optimization
• Contrôle dans les inéquations variationelles elliptiques
• Optimal control of elliptic variational inequalities
• Implicit function theorems for generalized equations
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities
• Inexact Central Path Following Algorithms for Optimal Control Problems
• Lagrange Multiplier Approach to Variational Problems and Applications
• Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm
• Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers
• Path-following Methods for a Class of Constrained Minimization Problems in Function Space