On degenerating tetrahedra resulting from red refinements of tetrahedral partitions

0548756 - MÚ 2022 RIV RU eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA20-01074S
Institucionální podpora: RVO:67985840
Klíčová slova: Zhang tetrahedra * dihedral angle * measure of degeneracy
Obor OECD: Pure mathematics
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0324821