Penalty method in design optimization of systems governed by a unilateral boundary value problem. (English) Zbl 0547.49004

Authors’ summary: ”A method of penalization is used to transform an optimal design problem governed by variational inequalities to an optimal design problem governed by equations. It is shown that the corresponding optimal designs (associated with the penalized problems) are in an appropriate sense close to the optimal design of the original problem.”
Reviewer: V.Mustonen


49J20 Existence theories for optimal control problems involving partial differential equations
49J40 Variational inequalities
49M30 Other numerical methods in calculus of variations (MSC2010)
93D20 Asymptotic stability in control theory
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