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Křížek, Michal; Strouboulis, Theofanis

How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition. (English) Zbl 0879.65078

Numer. Methods Partial Differ. Equations 13, No. 2, 201-214 (1997).
The authors solve the problem of the division of an arbitrary polyhedron into a set of tetrahedra with local refinement of the obtained tetrahedral meshes. Their main result states that the refined tetrahedra satisfy a so-called regularity ball condition, i.e., they do not degenerate when the discretization parameter tends to zero.
Reviewer: C.I.Gheorghiu (Cluj-Napoca)

Cited in 20 Documents

MSC:

65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

finite elements; local refinement; tetrahedral meshes; regularity ball condition
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References:

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