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K. Roppert, F. Toth, M. Kaltenbacher:
"Modelling Nonlinear Steady State Induction Heating Processes";
IEEE Transactions on Magnetics, 1 (2020), 1.

In this work, an efficient simulation strategy for a fully coupled nonlinear magnetic thermal problem is presented. The solution dependent magnetic subproblem is solved with a harmonic balancing scheme, with the main focus on the correct choice of the material model (magnetization curve). To further increase computational efficiency, a non-conforming interface approach is used, based on jump operators and penalty terms. This method drastically decreases the meshing time because different mesh sizes can be combined without taking care of element distortions in transition layers between fine and coarse parts of the mesh.

http://dx.doi.org/10.1109/TMAG.2019.2957343