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 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}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11450
  • https://www.mathnet.ru/eng/zvmmf/v62/i9/p1532
    • This publication is cited in the following 3 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, “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
    3. 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
    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:94
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025