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POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena

Type of Publication: Working Paper/Technical Report
Publication status: Published
URI (citable link): http://nbn-resolving.de/urn:nbn:de:bsz:352-2--1er2jsajujq0x2
Author: Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan
Year of publication: 2017
Series: Konstanzer Schriften in Mathematik ; 370
Summary:
In the present paper, a multiobjective optimal control problem governed by a heat equation with time-dependent convection term and bilateral control constraints is considered. For computing Pareto optimal points and approximating the Pareto front, the reference point method is applied. As this method transforms the multiobjective optimal control problem into a series of scalar optimization problems, the method of proper orthogonal decomposition (POD) is introduced as an approach for model-order reduction. New strategies for efficiently updating the POD basis in the optimization process are proposed and tested numerically.
Subject (DDC): 510 Mathematics
Link to License: In Copyright
Bibliography of Konstanz: Yes

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BANHOLZER, Stefan, Eugen MAKAROV, Stefan VOLKWEIN, 2017. POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena

@techreport{Banholzer2017PODBa-40769, series={Konstanzer Schriften in Mathematik}, title={POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena}, year={2017}, number={370}, author={Banholzer, Stefan and Makarov, Eugen and Volkwein, Stefan} }

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