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Matem. Mod., 2011, Volume 23, Number 3, Pages 109–126 (Mi mm3091)  

This article is cited in 11 scientific papers (total in 11 papers)

The method of electromagnetic field with the given wavefront calculation

A. V. Berezin, A. A. Kryukov, B. D. Plyushchenkov

Keldysh Institute of Applied Mathematics, Russian Academy of Science

Abstract: The numerical method for solution of three-dimensional Maxwell's equations with initial data on a characteristic surface is represented. The implicit completely conservative difference scheme is constructed. The algorithm of solution of mesh equations is proposed. The results of calculation of electromagnetic field, which is generated by the given time-depended current density distribution in the region with discontinuous conductivity, are represented. The comparison of results of calculation by the presented method and with help of the explicit difference scheme in laboratory time is cited.

Keywords: numerical methods, difference scheme, electrodynamics, sparse matrix, iteration methods.

Full text: PDF file (380 kB)
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Bibliographic databases:
UDC: 519.633.2
Received: 16.12.2009

Citation: A. V. Berezin, A. A. Kryukov, B. D. Plyushchenkov, “The method of electromagnetic field with the given wavefront calculation”, Matem. Mod., 23:3 (2011), 109–126

Citation in format AMSBIB
\Bibitem{BerKryPly11}
\by A.~V.~Berezin, A.~A.~Kryukov, B.~D.~Plyushchenkov
\paper The method of electromagnetic field with the given wavefront calculation
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 3
\pages 109--126
\mathnet{http://mi.mathnet.ru/mm3091}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2849301}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Berezin, A. S. Vorontsov, I. D. Voropaev, M. B. Markov, D. N. Sadovnichii, “Difraktsiya ploskoi elektromagnitnoi volny: postanovka zadachi”, Preprinty IPM im. M. V. Keldysha, 2013, 015, 18 pp.  mathnet
    2. A. V. Berezin, A. S. Vorontsov, M. B. Markov, D. N. Sadovnichii, “Model difraktsii ploskogo elektromagnitnogo impulsa”, Matem. modelirovanie, 26:5 (2014), 33–47  mathnet  elib
    3. A. V. Berezin, D. A. Zhukov, M. E. Zhukovskii, V. V. Konyukov, V. I. Krainyukov, M. B. Markov, Yu. V. Pomazan, A. I. Potapenko, “Modelirovanie elektromagnitnykh effektov v slozhnykh konstruktsiyakh pri vozdeistvii impulsnykh izluchenii”, Mat. modelir. i chisl. metody, 2015, no. 6, 58–72  mathnet
    4. A. V. Berezin, A. S. Vorontsov, M. E. Zhukovskiy, M. B. Markov, S. V. Parot'kin, “Particle method for electrons in a scattering medium”, Comput. Math. Math. Phys., 55:9 (2015), 1534–1546  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    5. A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “The model of radiation-induced conductivity in silicon”, Math. Models Comput. Simul., 9:1 (2017), 12–23  mathnet  crossref  elib
    6. I. B. Bakholdin, A. V. Berezin, A. A. Kryukov, M. B. Markov, B. D. Plyushchenkov, D. N. Sadovnichii, “Electromagnetic wave in the medium with dispersion of dielectric permittivity”, Math. Models Comput. Simul., 9:2 (2017), 190–200  mathnet  crossref  elib
    7. Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “Model elektricheskikh i termomekhanicheskikh effektov v puchke elektronov”, Preprinty IPM im. M. V. Keldysha, 2017, 056, 20 pp.  mathnet  crossref
    8. Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “Algoritm modelirovaniya elektricheskikh i termomekhanicheskikh effektov v rasseivayuschemsya elektronnom puchke”, Preprinty IPM im. M. V. Keldysha, 2017, 064, 19 pp.  mathnet  crossref
    9. F. N. Voronin, K. K. Inozemtseva, M. B. Markov, “The electromagnetic and termomechanical effect of electron beam on the solid barrier”, Math. Models Comput. Simul., 10:4 (2018), 407–417  mathnet  crossref  elib
    10. A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “Algoritm metoda chastits v rasseivayuschei srede”, Preprinty IPM im. M. V. Keldysha, 2018, 115, 12 pp.  mathnet  crossref  elib
    11. B. D. Plyuschenkov, A. A. Nikitin, “Chislennoe modelirovanie elektroakusticheskogo karotazha s uchetom dzhouleva nagreva”, Matem. modelirovanie, 32:2 (2020), 58–76  mathnet  crossref
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