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A Bicriterial Optimization Problem of Antenna Design
Authors:Arno Jüschke  Johannes Jahn  Andreas Kirsch
Affiliation:(1) Institut für Angewandte Mathematik, Universität Erlangen-Nürnberg, Martensstraße 3, 91058 Erlangen, Germany;(2) Mathematisches Institut II, Universität Karlsruhe, Englerstraße 2, 76128 Karlsruhe, Germany
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.
Keywords:multiobjective optimization  antenna theory
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