Abstract
In this paper we deal with an inverse electromagnetic casting problem, which consists in designing a set of inductors in such a way that a liquid metal achieves a given shape. The inductors are assumed to be made of single solid-core wires with a negligible cross-section area. The inverse problem is rewritten in the form of an optimization problem. In particular, a Kohn-Vogelius based functional is minimized with respect to a set of admissible inductors, leading to a non-iterative second order optimization algorithm. Finally, several numerical examples are presented showing that the proposed approach is effective to design suitable inductors.
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Acknowledgments
The authors thank the Uruguayan Research Councils ANII and CSIC and the Brazilian Research Councils CNPq, CAPES and FAPERJ for the financial support.
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Machado, T.J., Canelas, A., Novotny, A.A. et al. Fast solution of the inverse electromagnetic casting problem. Struct Multidisc Optim 57, 2447–2455 (2018). https://doi.org/10.1007/s00158-017-1874-2
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DOI: https://doi.org/10.1007/s00158-017-1874-2