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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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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