an:04019851
Zbl 0627.49011
Berm??dez, A.; Saguez, C.
Optimality conditions for optimal control problems of variational inequalities
EN
Control problems for systems described by partial differential equations and applications, Proc. IFIP-WG 7.2 Work. Conf., Gainesville/Fla. 1986, Lect. Notes Control Inf. Sci. 97, 143-153 (1987).
1987
a
49K20 35J85 49M05 49J40 49M20
elliptic variational inequality; optimality condition; algorithm
[For the entire collection see Zbl 0619.00014.]
An optimal control problem governed by an elliptic variational inequality is transformed into a minimization problem, in which the functional to be minimized is convex along two special directions. By using these facts the authors derive some optimality condition for the optimal control and suggest an algorithm for the numerical solution of the problem. The state variational inequality is similar to that modelling the elastic-plastic torsion of a cylindrical bar.
P.Quittner
Zbl 0619.00014