Email this article Theoretical Analysis of the Magnetic Cloaking Problem Based on an Optimization Method
- Authors: Alekseev G.V.1,2, Spivak Y.E.2
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Affiliations:
- Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences
- Far Eastern Federal University
- Issue: Vol 54, No 9 (2018)
- Pages: 1125-1136
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154824
- DOI: https://doi.org/10.1134/S001226611809001X
- ID: 154824
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Abstract
Control problems are considered for a model of magnetic scattering on a permeable anisotropic obstacle shaped as a spherical layer. Such problems arise in developing technologies for designing magnetic cloaking devices when the corresponding inverse problems are solved by an optimization method. The solvability of the direct and extremal problems for the model in question is proved and the optimality system is derived. Its analysis permits obtaining sufficient conditions on the initial data which ensure the local uniqueness and stability of the optimal solutions.
About the authors
G. V. Alekseev
Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences; Far Eastern Federal University
Author for correspondence.
Email: alekseev@iam.dvo.ru
Russian Federation, Vladivostok, 690041; Vladivostok, 690090
Yu. E. Spivak
Far Eastern Federal University
Email: alekseev@iam.dvo.ru
Russian Federation, Vladivostok, 690090
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