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On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions

✍ Scribed by Jan Brandts; Sergey Korotov; Michal Křížek

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
293 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this note we examine several regularity criteria for families of simplicial finite element partitions in R d , d ∈ {2, 3}. These are usually required in numerical analysis and computer implementations. We prove the equivalence of four different definitions of regularity often proposed in the literature. The first one uses the volume of simplices. The others involve the inscribed and circumscribed ball conditions, and the minimal angle condition.

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