Geodesic
Taking account of the hysteresis effects in the calculation of eddy currents
Numerical methods and programming, Tome 20 (2019) no. 1, pp. 67-74.

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An approach that allows one to take into account the residual magnetization and the eddy currents simultaneously during the numerical simulation of electromagnetic processes is considered. The efficiency of the proposed approach is verified by comparing with the results of experimental measurements for a magnet with an O-shaped magnetic core.
Keywords: mathematical modeling, numerical modeling, electromagnetism, eddy currents, hysteresis, finite element method, boundary element method. 
@article{VMP_2019_20_1_a6,
     author = {I. M. Stupakov and M. \`E. Royak and N. S. Kondratyeva and A. V. Zelenskiy and N. A. Vinokurov},
     title = {Taking account of the hysteresis effects in the calculation of eddy currents},
     journal = {Numerical methods and programming},
     pages = {67--74},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2019_20_1_a6/}
}
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I. M. Stupakov; M. È. Royak; N. S. Kondratyeva; A. V. Zelenskiy; N. A. Vinokurov. Taking account of the hysteresis effects in the calculation of eddy currents. Numerical methods and programming, Tome 20 (2019) no. 1, pp. 67-74. http://geodesic.mathdoc.fr/item/VMP_2019_20_1_a6/