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Matematicheskoe modelirovanie, 2010, Volume 22, Number 3, Pages 145–160 (Mi mm2954)  

This article is cited in 3 scientific papers (total in 3 papers)

The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes

N. B. Petrovskayaab, A. V. Wolkovab

a Central Aerohydrodynamic Institute
b University of Birmingham, United Kingdom
References:
Abstract: We discuss the issues of a higher-order finite-volume and finite-element discretization on anisotropic grids. It will be shown that high order finite-volume schemes are inferior to finite-element schemes in terms of accuracy when stretched meshes are considered. The poor accuracy of finite-volume schemes is discussed based on the idea of numerically distant points that are present in a reconstruction stencil on stretched meshes.
Received: 04.12.2008
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. B. Petrovskaya, A. V. Wolkov, “The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes”, Matem. Mod., 22:3 (2010), 145–160
Citation in format AMSBIB
\Bibitem{PetVol10}
\by N.~B.~Petrovskaya, A.~V.~Wolkov
\paper The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 3
\pages 145--160
\mathnet{http://mi.mathnet.ru/mm2954}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676356}
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  • https://www.mathnet.ru/eng/mm2954
  • https://www.mathnet.ru/eng/mm/v22/i3/p145
  • 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
    Математическое моделирование
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    References:63
    First page:18
     
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