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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Displaying similar documents to “Inverse coefficient problems for variational inequalities : optimality conditions and numerical realization”
Optimal control of a variational inequality with possibly nonsymmetric linear operator. Application to the obstacle problems in mathematical physics.
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Kunze, M., Monteiro Marques, M.D.P. (1998)
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Optimal control of obstacle problems : existence of Lagrange multipliers
Maïtine Bergounioux, Fulbert Mignot (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Fredi Tröltzsch, Stefan Volkwein (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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A Lagrange–Newton–SQP method is analyzed for the optimal control of the Burgers equation. Distributed controls are given, which are restricted by pointwise lower and upper bounds. The convergence of the method is proved in appropriate Banach spaces. This proof is based on a weak second-order sufficient optimality condition and the theory of Newton methods for generalized equations in Banach spaces. For the numerical realization a primal-dual active set strategy is applied. Numerical...
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The nonzero solutions and multiple solutions for a class of bilinear variational inequalities.
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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.