RUS  ENG
Full version
JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2021 Volume 24, Number 4, Pages 383–392 (Mi sjvm787)

This article is cited 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.

MSC: 65N50, 65N30

Received: 04.11.2020
Revised: 29.01.2021
Accepted: 14.07.2021

DOI: 10.15372/SJNM20210403


 English version:
Numerical Analysis and Applications, 2021, 14:4, 335–342

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024