On degenerating tetrahedra resulting from red refinements of tetrahedral partitions

0548756 - MÚ 2022 RIV RU eng J - Journal Article
Křížek, Michal - Korotov, S.
On degenerating tetrahedra resulting from red refinements of tetrahedral partitions.
Numerical Analysis and Applications. Roč. 14, č. 4 (2021), s. 335-342. ISSN 1995-4239. E-ISSN 1995-4247
R&D Projects: GA ČR(CZ) GA20-01074S
Institutional support: RVO:67985840
Keywords : Zhang tetrahedra * dihedral angle * measure of degeneracy
OECD category: Pure mathematics
Method of publishing: Limited access
https://doi.org/10.1134/S1995423921040030

We analyze red refinements of tetrahedral partitions and prove that the measure of degeneracy of some produced tetrahedra may tend to infinity if the refinements are constructed in an inappropriate way. The maximum angle condition is shown to be violated in these cases, as well.
Permanent Link: http://hdl.handle.net/11104/0324821