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Error estimates for the numerical approximation of boundary semilinear elliptic control problems
Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi
Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
We study the numerical approximation of boundary optimal control problems governed by semilinear elliptic partial differential equations with pointwise constraints on the control. The analysis of the approximate control problems is carried out. The uniform convergence of discretized controls to optimal controls is proven under natural assumptions by taking piecewise constant controls. Finally, error estimates are established.
