On degenerating tetrahedra resulting from red refinements of tetrahedral partitions
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 383-392
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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.
@article{SJVM_2021_24_4_a3,
author = {S. Korotov and M. K\v{r}{\'\i}\v{z}ek},
title = {On degenerating tetrahedra resulting from red refinements of tetrahedral partitions},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {383--392},
publisher = {mathdoc},
volume = {24},
number = {4},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a3/}
}
TY - JOUR AU - S. Korotov AU - M. Křížek TI - On degenerating tetrahedra resulting from red refinements of tetrahedral partitions JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2021 SP - 383 EP - 392 VL - 24 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a3/ LA - ru ID - SJVM_2021_24_4_a3 ER -
%0 Journal Article %A S. Korotov %A M. Křížek %T On degenerating tetrahedra resulting from red refinements of tetrahedral partitions %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2021 %P 383-392 %V 24 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a3/ %G ru %F SJVM_2021_24_4_a3
S. Korotov; M. Křížek. On degenerating tetrahedra resulting from red refinements of tetrahedral partitions. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 383-392. http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a3/