Optimal Control Problems for the Nonlinear Heat Equation

Karsten Eppler and Fredi Tröltzsch
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Karsten Eppler: Technische Universität Chemnitz, Fakultät für Mathematik
Fredi Tröltzsch: Technische Universität Berlin, Fachbereich Mathematik

A chapter in Online Optimization of Large Scale Systems, 2001, pp 173-183 from Springer

Abstract: Abstract Some aspects of numerical analysis are surveyed for the optimal control of the nonlinear heat equation. In the analysis, special emphasis is on second order sufficient optimality conditions. In particular, the case of pointwise state constraints is adressed. Moreover, a numerical technique of instantaneous control type is presented.

Keywords: Optimal Control Problem; Proper Orthogonal Decomposition; Burger Equation; Parabolic Problem; Nonlinear Heat Equation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04331-8_12

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DOI: 10.1007/978-3-662-04331-8_12

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