On degenerating tetrahedra resulting from red refinements of tetrahedral partitions
S. Korotov1, M. KЕ™бЅ·Еѕek2
1Western Norway University of Applied Sciences, Bergen, Norway
2Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic
Keywords: Zhang tetrahedra, dihedral angle, measure of degeneracy, red refinement, maximum angle condition
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.
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