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

Neittaanmäki, P.; Tiihonen, Timo

Z. Angew. Math. Mech. 65, No. 5, T317-T319 (1985).

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

MSC:

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

Keywords:

Sensitivity; shape control; variational inequality