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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 510, Pages 52–56
DOI: https://doi.org/10.31857/S2686954323600088 (Mi danma380) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On one approach to the assessment of a triangular element degeneration in a triangulation

Yu. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia
Citations (1)
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DOI: https://doi.org/10.31857/S2686954323600088
Abstract: A quantitative estimate of a triangular element quality is proposed – the triangle degeneration index. To apply this estimate, the simplest model triangulation is constructed, in which the coordinates of the nodes are formed as the sum of the corresponding coordinates of the nodes of some given regular grid and random increments to them. For different values of the parameters, the empirical distribution function of the triangle degeneration index is calculated, which is considered as a quantitative characteristic of the quality of triangular elements in the constructed triangulation.
Keywords: regular grid, random vector, triangulation, degeneracy index, empirical distribution function.
Received: 14.02.2023
Revised: 19.04.2023
Accepted: 20.04.2023
English version:
Doklady Mathematics, 2023, Volume 107, Issue 2, Pages 126–129
DOI: https://doi.org/10.1134/S106456242370076X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: Yu. A. Kriksin, V. F. Tishkin, “On one approach to the assessment of a triangular element degeneration in a triangulation”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023), 52–56; Dokl. Math., 107:2 (2023), 126–129
Citation in format AMSBIB
\Bibitem{KriTis23}
\by Yu.~A.~Kriksin, V.~F.~Tishkin
\paper On one approach to the assessment of a triangular element degeneration in a triangulation
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 510
\pages 52--56
\mathnet{http://mi.mathnet.ru/danma380}
\crossref{https://doi.org/10.31857/S2686954323600088}
\elib{https://elibrary.ru/item.asp?id=53986712}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 2
\pages 126--129
\crossref{https://doi.org/10.1134/S106456242370076X}
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  • https://www.mathnet.ru/eng/danma380
  • https://www.mathnet.ru/eng/danma/v510/p52
    • This publication is cited in the following 1 articles:
    1. Yu. A. Kriksin, V. F. Tishkin, “Degeneration estimation of a tetrahedral in a tetrahedral partition of the three-dimensional space”, Dokl. Math., 108:3 (2023), 459–465  mathnet  crossref  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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    Abstract page:149
    References:25
     
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