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This article is cited in 2 scientific papers (total in 2 papers)
Modeling of the stationary electromagnetic field based on the Maxwell equations
M. B. Markov, S. V. Parot'kin Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
Abstract:
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.
Received: 17.04.2020 Revised: 17.04.2020 Accepted: 18.05.2020
Citation:
M. B. Markov, S. V. Parot'kin, “Modeling of the stationary electromagnetic field based on the Maxwell equations”, Matem. Mod., 32:7 (2020), 113–126; Math. Models Comput. Simul., 13:2 (2021), 254–262
Linking options:
https://www.mathnet.ru/eng/mm4200 https://www.mathnet.ru/eng/mm/v32/i7/p113
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