|Title:||The 8-tetrahedra longest-edge partition of right-type tetrahedra||Authors:||Plaza, A.
Padrón, M. A.
Suárez, J. P.
|UNESCO Clasification:||12 Matemáticas
120601 Construcción de algoritmos
|Keywords:||8-tetrahedra longest-edge partition
Maximum angle condition
Similarity, et al
|Issue Date:||2004||Journal:||Finite Elements in Analysis and Design||Abstract:||A tetrahedron t is said to be a right-type tetrahedron, if its four faces are right triangles. For any right-type initial tetrahedron t, the iterative 8-tetrahedra longest-edge partition of t yields into a sequence of right-type tetrahedra. At most only three dissimilar tetrahedra are generated and hence the non-degeneracy of the meshes is simply proved. These meshes are of acute type and then satisfy trivially the maximum angle condition. All these properties are highly favorable in finite element analysis. Furthermore, since a right prism can be subdivided into six right-type tetrahedra, the combination of hexahedral meshes and right tetrahedral meshes is straightforward.||URI:||http://hdl.handle.net/10553/42516||ISSN:||0168-874X||DOI:||10.1016/j.finel.2004.04.005||Source:||Finite Elements in Analysis and Design [ISSN 0168-874X], v. 41 (3), p. 253-265||URL:||https://api.elsevier.com/content/abstract/scopus_id/12444277295|
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