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, 2019, Volume 59, Number 12, Pages 2007–2023
DOI: https://doi.org/10.1134/S0044466919120081 (Mi zvmmf10993) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Why do we need Voronoi cells and Delaunay meshes? Essential properties of the Voronoi finite volume method

K. Gärtner, L. Kamenski

m4sim GmbH, Seydelstr. 31, Berlin, Germany
Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919120081
Abstract: Unlike other schemes that locally violate the essential stability properties of the analytic parabolic and elliptic problems, Voronoi finite volume methods (FVM) and boundary conforming Delaunay meshes provide good approximation of the geometry of a problem and are able to preserve the essential qualitative properties of the solution for any given resolution in space and time as well as changes in time scales of multiple orders of magnitude. This work provides a brief description of the essential and useful properties of the Voronoi FVM, application examples, and a motivation why Voronoi FVM deserve to be used more often in practice than they are currently.
Key words: finite volume method, boundary conforming Delaunay triangulation, Voronoi cells.
Received: 26.06.2019
Revised: 26.06.2019
Accepted: 05.08.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 12, Pages 1930–1944
DOI: https://doi.org/10.1134/S096554251912008X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: K. Gärtner, L. Kamenski, “Why do we need Voronoi cells and Delaunay meshes? Essential properties of the Voronoi finite volume method”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019), 2007–2023; Comput. Math. Math. Phys., 59:12 (2019), 1930–1944
Citation in format AMSBIB
\Bibitem{GarKam19}
\by K.~G\"artner, L.~Kamenski
\paper Why do we need Voronoi cells and Delaunay meshes? Essential properties of the Voronoi finite volume method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 12
\pages 2007--2023
\mathnet{http://mi.mathnet.ru/zvmmf10993}
\crossref{https://doi.org/10.1134/S0044466919120081}
\elib{https://elibrary.ru/item.asp?id=41240354 }
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 12
\pages 1930--1944
\crossref{https://doi.org/10.1134/S096554251912008X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000514816500002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85079730433}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10993
  • https://www.mathnet.ru/eng/zvmmf/v59/i12/p2007
    • This publication is cited in the following 3 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:70
    References:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024