Homogenization of Multiscale Eddy Current Problem by Localized Orthogonal Decomposition Method
Loading...
Access rights
openAccess
acceptedVersion
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Date
Major/Subject
Mcode
Degree programme
Language
en
Pages
4
Series
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.Description
Other note
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