On the solution of optimum design problems with variational inequalities. (English) Zbl 0952.49034

Kočvara, Michal; Outrata, Jiří V.

Du, Ding-Zhu (ed.) et al., Recent advances in nonsmooth optimization. Singapore: World Scientific. 172-192 (1995).

The paper deals with the numerical solution of a class of optimum design problems in which the controlled systems are described by elliptic variational inequalities. The approach is based on the characterization of (discretized) system operators by means of generalized Jacobians and the subsequent usage of nondifferentiable optimization methods. As an application, two important shape design problems are solved.
For the entire collection see [Zbl 0907.00033].

Reviewer: P.Neittaanmäki (Jyväskylä)

MSC:

49Q10	Optimization of shapes other than minimal surfaces
49J40	Variational inequalities
35J85	Unilateral problems; variational inequalities (elliptic type) (MSC2000)
90C30	Nonlinear programming

Keywords:

numerical solution; optimum design problems; elliptic variational inequalities; shape design problems