The optimal control problem in coefficients for the pseudoparabolic variational inequality
Bock, I., Lovíšek, J.
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Displaying similar documents to “Optimal control in coefficients for elliptic variational inequalities and optimality conditions”
The optimal control problem in coefficients for the pseudoparabolic variational inequality
Optimal control problems for variational inequalities with controls in coefficients and in unilateral constraints
Igor Bock, Ján Lovíšek (1987)
Aplikace matematiky
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We deal with an optimal control problem for variational inequalities, where the monotone operators as well as the convex sets of possible states depend on the control parameter. The existence theorem for the optimal control will be applied to the optimal design problems for an elasto-plastic beam and an elastic plate, where a variable thickness appears as a control variable.
Optimal control of a variational inequality with possibly nonsymmetric linear operator. Application to the obstacle problems in mathematical physics.
Lovíšek, J. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle
Igor Bock, Ján Lovíšek (2001)
Mathematica Bohemica
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An optimization problem for the unilateral contact between a pseudoplate and a rigid obstacle is considered. The variable thickness of the pseudoplate plays the role of a control variable. The cost functional is a regular functional only in the smooth case. The existence of an optimal thickness is verified. The penalized optimal control problem is considered in the general case.