The SQP method for control constrained optimal control of the Burgers equation
ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 649-674.

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 examples are included.

Classification : 49J20,  49K20,  65Kxx
Mots clés : Burgers' equation, SQP methods, generalized Newton's method, primal-dual methods, active set strategy
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author = {Tr\"oltzsch, Fredi and Volkwein, Stefan},
title = {The {SQP} method for control constrained optimal control of the {Burgers} equation},
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Tröltzsch, Fredi; Volkwein, Stefan. The SQP method for control constrained optimal control of the Burgers equation. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 649-674. http://www.numdam.org/item/COCV_2001__6__649_0/

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