Homogenization of Multiscale Eddy Current Problem by Localized Orthogonal Decomposition Method

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2019-09
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Mcode
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Language
en
Pages
4
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IEEE Transactions on Magnetics, Volume 55, issue 9
Abstract
A homogenization approach for the solution of multiscale eddy current problem is proposed. The method is based on the subspace decomposition and it involves a coarse space and a nested fine space. The homogenized problem is posed in the coarse space with the help of a projection operator acting between the coarse space and a space of rapidly oscillating functions. A Helmholtz decomposition is applied to treat the null-space of the curl operator so that the projection can be locally calculated. The results are illustrated in a 2-D numerical example.
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Keywords
Homogenization, Orthogonal projection, Quasi-static Maxwell's equations
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Citation
Ren , X , Hannukainen , A & Belahcen , A 2019 , ' Homogenization of Multiscale Eddy Current Problem by Localized Orthogonal Decomposition Method ' , IEEE Transactions on Magnetics , vol. 55 , no. 9 , 7500204 . https://doi.org/10.1109/TMAG.2019.2917400