Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
C. Meyer (2008)
Control and Cybernetics
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C. Meyer (2008)
Control and Cybernetics
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Klaus Krumbiegel, Arnd Rösch (2008)
Control and Cybernetics
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Eduardo Casas (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The goal of this paper is to derive some error estimates for the numerical discretization of some optimal control problems governed by semilinear elliptic equations with bound constraints on the control and a finitely number of equality and inequality state constraints. We prove some error estimates for the optimal controls in the norm and we also obtain error estimates for the Lagrange multipliers associated to the state constraints as well as for the optimal states...