Sensitivity analysis for a class of shape control problems. (English) Zbl 0592.49005

Sensitivity of shape control problems of systems, governed by a particular variational inequality over the integral domain \(\Omega (\alpha)=(0,\alpha)\times (0,1)\), is studied. It is shown, by numerical tests, that by changing \(\alpha\) it is possible to find shapes that decrease the cost functional by 30 %.
Reviewer: S.Zlobec


49J40 Variational inequalities
49K40 Sensitivity, stability, well-posedness
35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
93B35 Sensitivity (robustness)
93C20 Control/observation systems governed by partial differential equations