A Bicriterial Optimization Problem of Antenna Design

Authors:
Arno Jüschke;Johannes Jahn;Andreas Kirsch
Affiliations:
Institut für Angewandte Mathematik, Universität Erlangen-Nürnberg, Martensstraße 3, 91058 Erlangen, Germany;Institut für Angewandte Mathematik, Universität Erlangen-Nürnberg, Martensstraße 3, 91058 Erlangen, Germany;Mathematisches Institut II, Universität Karlsruhe, Englerstraße 2, 76128 Karlsruhe, Germany
Venue:
Computational Optimization and Applications
Year:
1997

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Abstract

In this paper we consider a special optimization problem withtwo objectives which arises in antenna theory. It is shown that thisabstract bicriterial optimization problem has at least one solution.Discretized versions of this problem are also discussed, and therelationships between these finite dimensional problems and the infinitedimensional problem are investigated. Moreover, we presentnumerical results for special parameters using a multiobjectiveoptimization method.