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, 2020, Volume 60, Number 5, Pages 917–932
DOI: https://doi.org/10.31857/S0044466920050099 (Mi zvmmf11085) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Parallel mosaic-skeleton algorithm for the numerical solution of a three-dimensional scalar scattering problem in integral form

A. A. Kashirin, S. I. Smagin, M. Yu. Timofeenko

Computing Center, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, 680000 Russia
Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S0044466920050099
Abstract: A three-dimensional scalar stationary scattering problem is considered. It is formulated in the form of a weakly singular Fredholm boundary integral equation of the first kind with a single unknown function. The equation is approximated by a system of linear algebraic equations, which is then solved numerically by an iterative method. The mosaic-skeleton method is used at the stage of the approximate solution of this system in order to reduce the computational complexity of the approach.
Key words: scattering problem, integral equation, numerical solution, fast method, mosaic-skeleton method, incomplete cross approximation.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00682
20-01-00450
Ministry of Science and Higher Education of the Russian Federation 18-5-100
This work was supported by the Russian Foundation for Basic Research (project nos. 17-01-00682, 20-01-00450) and by the Far Eastern Branch of the Russian Academy of Sciences (basic research program, project no. 18-5-100).
Received: 11.05.2018
Revised: 11.09.2019
Accepted: 14.01.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 5, Pages 895–910
DOI: https://doi.org/10.1134/S0965542520050097
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: A. A. Kashirin, S. I. Smagin, M. Yu. Timofeenko, “Parallel mosaic-skeleton algorithm for the numerical solution of a three-dimensional scalar scattering problem in integral form”, Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020), 917–932; Comput. Math. Math. Phys., 60:5 (2020), 895–910
Citation in format AMSBIB
\Bibitem{KasSmaTim20}
\by A.~A.~Kashirin, S.~I.~Smagin, M.~Yu.~Timofeenko
\paper Parallel mosaic-skeleton algorithm for the numerical solution of a three-dimensional scalar scattering problem in integral form
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2020
\vol 60
\issue 5
\pages 917--932
\mathnet{http://mi.mathnet.ru/zvmmf11085}
\crossref{https://doi.org/10.31857/S0044466920050099}
\elib{https://elibrary.ru/item.asp?id=42687711}
\transl
\jour Comput. Math. Math. Phys.
\yr 2020
\vol 60
\issue 5
\pages 895--910
\crossref{https://doi.org/10.1134/S0965542520050097}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000544378300013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85087213911}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11085
  • https://www.mathnet.ru/eng/zvmmf/v60/i5/p917
    • This publication is cited in the following 2 articles:
    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:103
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024