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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Lovíšek, J. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Igor Bock, Ján Lovíšek (1983)
Mathematica Slovaca
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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.
Igor Bock (1995)
Applications of Mathematics
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We deal with an optimal control problem with respect to a variable thickness for a dynamic viscoelastic plate with velocity constraints. The state problem has the form of a pseudohyperbolic variational inequality. The existence and uniqueness theorem for the state problem and the existence of an optimal thickness function are proved.
Ján Lovíšek (1989)
Aplikace matematiky
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The aim of the present paper is to study problems of optimal design in mechanics, whose variational form are inequalities expressing the principle of virtual power in its inequality form. We consider an optimal control problem in whixh the state of the system (involving an elliptic, linear symmetric operator, the coefficients of which are chosen as the design - control variables) is defined as the (unique) solution of stationary variational inequalities. The existence result proved in...