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Main Title: Error estimates for the finite-element approximation of a semilinear elliptic control problem
Author(s): Casas, Eduardo
Tröltzsch, Fredi
Type: Research Paper
Abstract: 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.
Subject(s): optimal control problems involving partial differential equations
problems involving partial differential equations
methods based on necessary conditions
optimization and variational techniques
Issue Date: 1-Feb-2002
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49J20 Optimal control problems involving partial differential equations
49K20 Problems involving partial differential equations
49M05 Methods based on necessary conditions
65K10 Optimization and variational techniques
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2002, 748
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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