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On degeneration of tetrahedra under longest-edge n-section refinement

Korotov, Sergey
arXiv (All) · Papers
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numerical-analysis
For every integer $n \ge 2$, we construct explicit tetrahedral counterexamples showing that repeated longest-edge (LE) n-section refinement does not, in general, preserve shape regularity, contrary to long-standing conjectural expectations. For $n = 2$, the construction disproves the finite-family c
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