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On optimal control problems connected with eigenvalue variational inequalities

✍ Scribed by Igor Bock

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
147 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The eigenvalue optimization problem for a variational inequality over the convex cone is to be dealt with. The control variable appears in the operator of the unilateral problem. The existence theorem for the maximum first eigenvalue optimization problem is stated and verified. The necessary optimality condition is derived. The applications to the optimal design of unilaterally supported beams and plates are presented. The variable thickness of a construction plays the role of a design variable. The convergence of the finite elements approximation is proved. Copyright Β© 2001 John Wiley & Sons, Ltd.

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