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Main Title: Error estimates for the numerical approximation of boundary semilinear elliptic control problems
Author(s): Casas, Eduardo
Mateos, Mariano
Tröltzsch, Fredi
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15498
http://dx.doi.org/10.14279/depositonce-14271
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: 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.
Subject(s): boundary control
semilinear elliptic equation
numerical approximation
error estimates
Issue Date: 26-Aug-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49K20 Problems involving partial differential equations
49N10 Linear-quadratic problems
90C46 Optimality conditions, duality
49M20 Methods of relaxation type
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 21
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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