BOUNDED FLATNESS IN Q-TRIANGULATED REGULAR N-SIMPLEXES

Authors
JONCKHEERE EA CHU CK
Citation
Ea. Jonckheere et Ck. Chu, BOUNDED FLATNESS IN Q-TRIANGULATED REGULAR N-SIMPLEXES, Applied mathematics and computation, 88(2-3), 1997, pp. 177-198
Citations number
28
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
88
Issue
2-3
Year of publication
1997
Pages
177 - 198
Database
ISI
SICI code
0096-3003(1997)88:2-3<177:BFIQRN>2.0.ZU;2-R
Abstract
Bounded flatness of simplexes is crucial for simplicial algorithms to provide solutions of satisfactory accuracy. By using combinatorial arg uments we show that iterative Q-refinement with arbitrary mesh of Eucl idean simplexes, a crucial step in the implementation of simplicial al gorithms, yields subsimplexes of bounded flatness. The flatness is bou nded by ([(n + 1)/2])(n/2) . F-n(r), where F-n(r) is the flatness of t he regular unit n-simplex. (C) Elsevier Science Inc., 1997.