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Optimal control of elliptic variational inequalities. (English) Zbl 0960.49003
Optimality systems for optimal control problems governed by elliptic variational inequalities are derived. Existence of appropriately defined Lagrange multipliers is proved. A primal-dual active set method is proposed to solve the optimality systems numerically. Examples with and without lack of strict complementarity are included.

MSC:
49J40Variational methods including variational inequalities
49M30Other numerical methods in calculus of variations
35J85Unilateral problems; variational inequalities (elliptic type) (MSC2000)
49K20Optimal control problems with PDE (optimality conditions)
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