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How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition (1997)

Křížek, Michal ; Strouboulis, Theofanis

New York, NY [u.a.] : Wiley-Blackwell

Numerical Methods for Partial Differential Equations 13 (1997), S. 201-214

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ISSN: 0749-159X

Keywords: tetrahedral meshes ; local refinements ; finite elements ; Mathematics and Statistics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: 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.

Additional Material: 9 Ill.

Type of Medium: Electronic Resource

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