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Matematicheskoe modelirovanie, 2020, Volume 32, Number 7, Pages 113–126
DOI: https://doi.org/10.20948/mm-2020-07-07
(Mi mm4200)
 

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)
Full-text PDF (405 kB) Citations (2)
References:
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
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 2, Pages 254–262
DOI: https://doi.org/10.1134/S2070048221020101
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MarPar20}
\by M.~B.~Markov, S.~V.~Parot'kin
\paper Modeling of the stationary electromagnetic field based on the Maxwell equations
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 7
\pages 113--126
\mathnet{http://mi.mathnet.ru/mm4200}
\crossref{https://doi.org/10.20948/mm-2020-07-07}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 2
\pages 254--262
\crossref{https://doi.org/10.1134/S2070048221020101}
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  • https://www.mathnet.ru/eng/mm/v32/i7/p113
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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