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K. Le, M. Page, D. Praetorius, T. Tran:
"On a decoupled linear FEM integrator for Eddy-Current-LLG";
in: "ASC Report 15/2013", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2013, ISBN: 978-3-902627-06-3, 1 - 13.

We propose a linear scheme for the numerical solution of the eddy-current equation coupled with the Landau{Lifshitz{Gilbert equation where the e ective eld contains some general energy including anisotropy elds and applied elds. At each time-step, our suggested algorithm solves successively two linear systems, one for the magnetization eld and another one for the magnetic eld. Convergence to the weak solution is proved. Numerical experiments with a micromagnetic benchmark problem underline the performance
of the proposed algorithm.

quasi-static Maxwell-LLG, eddy-current equation, nite element, ferromagnetism.

http://www.asc.tuwien.ac.at/preprint/2013/asc15x2013.pdf