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🆕 Date Issued:
2002-02-01
🗄 In DepositOnce:2021-12-17
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Error estimates for the finite-element approximation of a semilinear elliptic control problem

Casas, Eduardo; Tröltzsch, Fredi

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

We consider the finite-element approximation of a distributed optimal control problem governed by a semilinear elliptic partial differential equation, where pointwise constraints on the control are given. We prove the existence of local approximate solutions converging to a given local reference solution. Moreover, we derive error estimates for local solutions in the maximum norm.
optimal control problems involving partial differential equationsproblems involving partial differential equationsmethods based on necessary conditionsoptimization and variational techniques
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