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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2021, Volume 24, Number 4, Pages 383–392
DOI: https://doi.org/10.15372/SJNM20210403 (Mi sjvm787) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On degenerating tetrahedra resulting from red refinements of tetrahedral partitions

S. Korotova, M. Křížekb

a Department of Computer Science, Electrical Engineering and Mathematical Sciences, Faculty of Engineering and Science, Western Norway University of Applied Sciences, Bergen, Norway
b Institute of Mathematics, Czech Academy of Sciences, Prague 1, Czech Republic
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DOI: https://doi.org/10.15372/SJNM20210403
Abstract: We analyse red refinements of tetrahedral partitions and prove that the measure of degeneracy of some produced tetrahedra may tend to infinity if refinements are constructed in an inappropriate way. The maximum angle condition is shown to be violated in these cases as well.
Key words: Zhang tetrahedra, dihedral angle, measure of degeneracy, red refinement, maximum angle condition.
Funding agency Grant number
Grantová Agentura České Republiky 20-01074S
Academy of Sciences of the Czech Republic RVO 67985840
This paper was supported by grant no.В 20-01074S of the Grant Agency of the Czech Republic and RVO 67985840 of the Czech Republic.
Received: 04.11.2020
Revised: 29.01.2021
Accepted: 14.07.2021
English version:
Numerical Analysis and Applications, 2021, Volume 14, Issue 4, Pages 335–342
DOI: https://doi.org/10.1134/S1995423921040030
Bibliographic databases:
Document Type: Article
MSC: 65N50, 65N30
Language: Russian
Citation: S. Korotov, M. Křížek, “On degenerating tetrahedra resulting from red refinements of tetrahedral partitions”, Sib. Zh. Vychisl. Mat., 24:4 (2021), 383–392; Num. Anal. Appl., 14:4 (2021), 335–342
Citation in format AMSBIB
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\pages 383--392
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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