Geodesic
The numerical simulation for quasi-stationary electromagnetic fields in multiply connected regions and regions with time-changing boundaries
Matematičeskoe modelirovanie, Tome 19 (2007) no. 4, pp. 3-18

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The space-homogeneous models and algorithms for quasi-stationary electromagnetic fields description has been worked out. Time-changing conducting and nonconducting subregions has been taken into consideration. The preferences of proposed algorithms application were demonstrated. The solution stability of difference task for different simulation ways has been studied. The algorithms for unique solution obtaining of quasi-stationary Maxwell equations in three-dimensional region with multiply connected conducting and nonconducting subregions have been worked out. 
@article{MM_2007_19_4_a0,
     author = {M. P. Galanin and Yu. P. Popov and S. S. Urazov},
     title = {The numerical simulation for quasi-stationary electromagnetic fields in multiply connected regions and regions with time-changing boundaries},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--18},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_4_a0/}
}
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M. P. Galanin; Yu. P. Popov; S. S. Urazov. The numerical simulation for quasi-stationary electromagnetic fields in multiply connected regions and regions with time-changing boundaries. Matematičeskoe modelirovanie, Tome 19 (2007) no. 4, pp. 3-18. http://geodesic.mathdoc.fr/item/MM_2007_19_4_a0/