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Free boundary optimization—A constructive iterative method

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Abstract

We present an existence and approximation theory for certain free boundary optimization problems involving capacity. Our method is based on a class of area-preserving domain perturbation operators which tend to diminish capacity.

Zusammenfassung

Wir geben eine Existenz- und Approximationstheorie für bestimmte freie Randoptimierungsaufgaben bzgl. Kapazität. Unsere Methode stützt sich auf eine Klasse flächenerhaltender Gebiets-Perturbationsoperatoren welche zu Kapazitätsminderung neigen.

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Authors and Affiliations

  1. Mathematisches Institut I, Universität Karlsruhe (TH), Karlsruhe, Germany

    Andrew Acker

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  1. Andrew Acker
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Acker, A. Free boundary optimization—A constructive iterative method. Journal of Applied Mathematics and Physics (ZAMP) 30, 885–900 (1979). https://doi.org/10.1007/BF01590487

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  • DOI: https://doi.org/10.1007/BF01590487

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