NONSMOOTH OPTIMAL-DESIGN PROBLEMS FOR THE KIRCHHOFF PLATE WITH UNILATERAL CONDITIONS

Authors
SOKOLOWSKI J
Citation
J. Sokolowski, NONSMOOTH OPTIMAL-DESIGN PROBLEMS FOR THE KIRCHHOFF PLATE WITH UNILATERAL CONDITIONS, Kybernetika, 29(3), 1993, pp. 284-290
Citations number
20
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Applications & Cybernetics
Journal title
Kybernetika → ACNP
ISSN journal
00235954
Volume
29
Issue
3
Year of publication
1993
Pages
284 - 290
Database
ISI
SICI code
0023-5954(1993)29:3<284:NOPFTK>2.0.ZU;2-X
Abstract
The form of directional derivative of the metric projection in the Sob olev space H-0(2)2 (OMEGA) onto the convex set K = {f is-an-element-of H-0(2)(OMEGA)\f greater-than-or-equal-to psi} is derived in[14]. In t he present paper the result is used to obtain the first order optimali ty conditions for a class of nonsmooth optimal design problems for the Kirchhoff plate with an obstacle.