Ren, XiaotaoHannukainen, AnttiBelahcen, Anouar2019-09-042019-09-042019-09-042019-09-0110.1109/TMAG.2019.2917400https://infoscience.epfl.ch/handle/20.500.14299/160799WOS:000481985000001A 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.Engineering, Electrical & ElectronicPhysics, AppliedEngineeringPhysicshomogenizationorthogonal projectionquasi-static maxwell's equationstext::journal::journal article::research article