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How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition
Author(s) -
Křížek Michal,
Strouboulis Theofanis
Publication year - 1997
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199703)13:2<201::aid-num5>3.0.co;2-t
Subject(s) - tetrahedron , polygon mesh , mathematics , ball (mathematics) , simple (philosophy) , geometry , epistemology , philosophy
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. © 1997 John Wiley & Sons, Inc.