✦ LIBER ✦

How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition

✍ Scribed by Michal Křížek; Theofanis Strouboulis

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 207 KB
Volume: 13
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199703)13:2<201::aid-num5>3.0.co;2-t

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✦ Synopsis

A simple algorithm that generates local refinements of tetrahedral meshes is proposed. Refinements are made by tetrahedra, which are subdivided into eight, four, three, or two smaller tetrahedra. We prove that a regularity ball condition is satisfied for the refined mesh. This guarantees that tetrahedra do not become flat when the mesh size tends to zero.