Geodesic
Modeling of the stationary electromagnetic field based on the Maxwell equations
Matematičeskoe modelirovanie, Tome 32 (2020) no. 7, pp. 113-126

Voir la notice de l'article provenant de la source Math-Net.Ru

The generation of an electromagnetic field in a region with a perfectly conducting boundary by a long duration pulse of ionizing radiation is considered. The problem of calculating the field by numerically solving the complete system of Maxwell equations is posed. The approximations of the large and small radiation conductivity of the medium in the region are formulated. Аnalytical estimates of the solution of Maxwell's equations are constructed for approximations in simplified formulations. By analyzing them, methods for calculating the electromagnetic field in the framework of a model based on the Maxwell equations in the full formulation are substantiated. An approach to modeling the field in the formulations that require an unacceptable amount of computation for the stable solution of the Maxwell difference equations is proposed. The approach makes it possible to simulate the generation of an electromagnetic field by radiation from outer space in apparatus blocks using programs that solve Maxwell's equations in a complete formulation.
Keywords: electromagnetic field, radiation belt, bremsstrahlung, Maxwell equations, radiation conductivity, external current. 
@article{MM_2020_32_7_a6,
     author = {M. B. Markov and S. V. Parot'kin},
     title = {Modeling of the stationary electromagnetic field based on the {Maxwell} equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {113--126},
     publisher = {mathdoc},
     volume = {32},
     number = {7},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_7_a6/}
}
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M. B. Markov; S. V. Parot'kin. Modeling of the stationary electromagnetic field based on the Maxwell equations. Matematičeskoe modelirovanie, Tome 32 (2020) no. 7, pp. 113-126. http://geodesic.mathdoc.fr/item/MM_2020_32_7_a6/