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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
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.
Received: 04.11.2020 Revised: 29.01.2021 Accepted: 14.07.2021
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
Linking options:
https://www.mathnet.ru/eng/sjvm787 https://www.mathnet.ru/eng/sjvm/v24/i4/p383
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Abstract page: | 93 | Full-text PDF : | 23 | References: | 27 | First page: | 5 |
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