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.
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     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/}
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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/