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Main Title: Error estimates for parabolic optimal control problems with control constraints
Author(s): Rösch, Arnd
Type: Research Paper
Abstract: An optimal control problem for the 1-d heat equation is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise linear functions. The connection between the solutions of the discretized problems and the continuous one is investigated. Under an additional assumption on the adjoint state an approximation order $\sigma^{3/2}$ is proved for uniform discretizations. In the general case it is shown that a non-uniform control discretization ensure an approximation of order $\sigma^{3/2}$. Numerical tests confirm the theoretical part.
Subject(s): linear-quadratic optimal control problems
error estimates
heat equation
non-uniform grids
numerical approximation
control constraints
Issue Date: 17-Jul-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49N10 Linear-quadratic problems
65K10 Optimization and variational techniques
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 18
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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