Loading [MathJax]/jax/output/SVG/config.js
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 1, Pages 90–104
DOI: https://doi.org/10.31857/S0044466922010045 (Mi zvmmf11346) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Partial Differential Equations

Highly accurate methods for solving one-dimensional Maxwell equations in stratified media

A. A. Belovab, Zh. O. Dombrovskayaa

a Moscow State University, 119991, Moscow, Russia
b Peoples' Friendship University of Russia (RUDN University), 117198, Moscow, Russia
Citations (5)
DOI: https://doi.org/10.31857/S0044466922010045
Abstract: Earlier, a bicompact difference scheme was constructed for stationary and nonstationary Maxwell equations. Its stencil includes only one step of the spatial grid. A grid node is placed at each interface, and the other nodes may be placed arbitrarily. This scheme explicitly takes into account interface conditions on the interfaces. This makes it possible to compute generalized solutions with discontinuities of the solution and its derivatives. A novel spectral decomposition method is used for solving nonstationary problems that can take into account an arbitrary medium dispersion law. A new form of the bicompact scheme is proposed, which allows one to reduce the complexity of computations by a factor of four, which is a significant improvement. For the first time, a rigorous substantiation of the proposed scheme is given.
Key words: Maxwell equations, bicompact schemes, stratified media, interface conditions, material dispersion.
Funding agency Grant number
Russian Science Foundation 20-71-00097
This work was supported by the Russian Science Foundation, project no. 20-71-00097.
Received: 15.04.2021
Revised: 15.04.2021
Accepted: 17.09.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 1, Pages 84–97
DOI: https://doi.org/10.1134/S0965542522010043
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Belov, Zh. O. Dombrovskaya, “Highly accurate methods for solving one-dimensional Maxwell equations in stratified media”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 90–104; Comput. Math. Math. Phys., 62:1 (2022), 84–97
Citation in format AMSBIB
\Bibitem{BelDom22}
\by A.~A.~Belov, Zh.~O.~Dombrovskaya
\paper Highly accurate methods for solving one-dimensional Maxwell equations in stratified media
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 1
\pages 90--104
\mathnet{http://mi.mathnet.ru/zvmmf11346}
\crossref{https://doi.org/10.31857/S0044466922010045}
\elib{https://elibrary.ru/item.asp?id=47423719}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 1
\pages 84--97
\crossref{https://doi.org/10.1134/S0965542522010043}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000755152200007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85124951073}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11346
  • https://www.mathnet.ru/eng/zvmmf/v62/i1/p90
    • This publication is cited in the following 5 articles:
    1. A. A. Belov, Zh. O. Dombrovskaya, “Generalization of the Method of Scattering Matrices to Problems in Nonlinear Dispersion Media”, Comput. Math. and Math. Phys., 64:7 (2024), 1491  crossref
    2. A. A. Belov, Zh. O. Dombrovskaya, “Generalization of the method of scattering matrices to problems in nonlinear dispersion media”, Comput. Math. Math. Phys., 64:7 (2024), 1491–1503  mathnet  mathnet  crossref  crossref
    3. A. A. Belov, Zh. O. Dombrovskaya, “The method of optical paths for the numerical solution of integrated photonics problems”, Comput. Math. Math. Phys., 63:6 (2023), 1137–1154  mathnet  mathnet  crossref  crossref
    4. Aleksandr Belov, Zhanna Dombrovskaya, “The Optical Path Method for the Problem of Oblique Incidence of a Plane Electromagnetic Wave on a Plane-Parallel Scatterer”, Mathematics, 11:2 (2023), 466  crossref
    5. A. A. Belov, Zh. O. Dombrovskaya, “Testing bicompact schemes for the one-dimensional Maxwell equations in stratified media”, Comput. Math. Math. Phys., 62:9 (2022), 1496–1514  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:118
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025