Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9511800 | Applied Numerical Mathematics | 2005 | 15 Pages |
Abstract
In this paper we show empirical evidence on the non-degeneracy property of the tetrahedral meshes obtained by iterative application of the 8-tetrahedra longest-edge (8T-LE) partition. The 8T-LE partition of an initial tetrahedron t yields an infinite sequence of tetrahedral meshes Ï1={t},Ï2={ti2},Ï3={ti3},â¦â. We give numerical experiments showing that for a standard shape measure introduced by Liu and Joe (η), the non-degeneracy convergence to a fixed positive value is guaranteed, that is, for any tetrahedron tin in Ïn, n⩾1, η(tin)⩾cη(t) where c is a positive constant independent of i and n. Based on our experiments, estimates of c are provided.
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Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Angel Plaza, Miguel A. Padrón, José P. Suárez,