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.
Original language | English |
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Article number | 7500204 |
Number of pages | 4 |
Journal | IEEE Transactions on Magnetics |
Volume | 55 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sep 2019 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Homogenization
- Orthogonal projection
- Quasi-static Maxwell's equations