Optimal control of elliptic variational inequalities

Applied Mathematics and Optimization

Volumn 41, Issue 3, 2000, Pages 343-364

  Ito, K ^a   Klinisch, K ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF GRAZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

ACTIVE SET METHODS; AUGMENTED LAGRANGIANS; STRICT COMPLEMENTARITY; VARIATIONAL INEQUALITIES;

VARIATIONAL TECHNIQUES;

EID: 0033891731     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002459911017     Document Type: Article

References (10)

1. [Ba] V. Barbu: Optimal Control of Variational Inequalities, Pitman, London, 1984.
2. [Be] M. Bergounioux: On the use of augmented Lagrangian methods for optimal control of obstacle problems, Preprint, 1996.
3. [BNN] V. Barbu, P. Neittaanmäki, and A. Niemistö: Approximating optimal control problems governed by variational inequalities, Rapports de Recherche 1636, INRIA, Rocquencourt, 1992.
4. [IK1] K. Ito and K. Kunisch: The augmented Lagrangian method for equality and inequality constraints in Hilbert space, Math. Programming, 46 (1990), 341-360.
5. [IK2] K. Ito and K. Kunisch: Augmented Lagrangian formulation of nonsmooth, convex optimization in Hilbert spaces, in: Control of Partial Differential Equations and Applications, pp. 107-117, A. Casas, ed., Lecture Notes in Pure and Applied Mathematics, Vol. 174, Marcel Dekker, New York, 1995.
6. [IK3] K. Ito and K. Kunisch: Augmented Lagrangian SQP-methods in Hilbert spaces and application to control in the coefficients problems, SIAM J. Optim., 6 (1996), 96-125.
7. [IK4] K. Ito and K. Kunisch: Augmented Lagrangian SQP-methods for nonlinear optimal control problems of tracking type, SIAM J. Control Optim., 34 (1996), 874-891.
8. [M] F. Mignot: Unpublished manuscript.
9. [OZ] J. Outrata and J. Zowe: A numerical approach to optimization problems with variational inequality constraints, Math. Programming, 68 (1995), 105-130.
10. [T] G.M. Troianello: Elliptic Differential Equations and Obstacle Problems, Plenum, New York, 1987.