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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 9, Pages 1532–1550
DOI: https://doi.org/10.31857/S0044466922070031 (Mi zvmmf11450) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical physics

Testing bicompact schemes for the one-dimensional Maxwell equations in stratified media

A. A. Belovab, Zh. O. Dombrovskayaa

a Lomonosov Moscow State University, Moscow, Russia
b Peoples' Friendship University of Russia, Moscow, Russia
Citations (3)
DOI: https://doi.org/10.31857/S0044466922070031
Abstract: Bicompact schemes for the system of one-dimensional Maxwell equations in the stationary and nonstationary cases are tested. A number of representative benchmark problems that have exact generalized solutions are solved numerically. Some of them are considered for the first time. Comparison with the most popular well-known approaches–finite difference method in the time domain and the finite element method–is made. These computations convincingly demonstrate advantages of bicompact schemes in problems with stratified media.
Key words: Maxwell equations, bicompact schemes, stratified media, interface conditions, material dispersion.
Funding agency Grant number
RUDN University Strategic Academic Leadership Program R.1‑A/N-2021
This publication has been supported by the RUDN University Scientific Projects Grant System, project no. R.1‑A/N-2021.
Received: 26.01.2021
Revised: 11.02.2022
Accepted: 11.03.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 9, Pages 1496–1514
DOI: https://doi.org/10.1134/S096554252207003X
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Belov, Zh. O. Dombrovskaya, “Testing bicompact schemes for the one-dimensional Maxwell equations in stratified media”, Zh. Vychisl. Mat. Mat. Fiz., 62:9 (2022), 1532–1550; Comput. Math. Math. Phys., 62:9 (2022), 1496–1514
Citation in format AMSBIB
\Bibitem{BelDom22}
\by A.~A.~Belov, Zh.~O.~Dombrovskaya
\paper Testing bicompact schemes for the one-dimensional Maxwell equations in stratified media
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 9
\pages 1532--1550
\mathnet{http://mi.mathnet.ru/zvmmf11450}
\crossref{https://doi.org/10.31857/S0044466922070031}
\elib{https://elibrary.ru/item.asp?id=49273357}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 9
\pages 1496--1514
\crossref{https://doi.org/10.1134/S096554252207003X}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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