Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/51611
Title: Average adjacencies for tetrahedral skeleton-regular partitions
Authors: Plaza, A. 
Rivara, M. C.
UNESCO Clasification: 120601 Construcción de algoritmos
Keywords: Adjacencies
Partitions
Tetrahedral meshes
Issue Date: 2005
Journal: Journal of Computational and Applied Mathematics 
Abstract: For any conforming mesh, the application of a skeleton-regular partition over each element in the mesh, produces a conforming mesh such that all the topological elements of the same dimension are subdivided into the same number of child-elements. Every skeleton-regular partition has associated special constitutive (recurrence) equations. In this paper the average adjacencies associated with the skeleton-regular partitions in 3D are studied. In three-dimensions different values for the asymptotic number of average adjacencies are obtained depending on the considered partition, in contrast with the two-dimensional case [J. Comput. Appl. Math. 140 (2002) 673]. In addition, a priori formulae for the average asymptotic adjacency relations for any skeleton-regular partition in 3D are provided.
URI: http://hdl.handle.net/10553/51611
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.09.013
Source: Journal of Computational and Applied Mathematics [ISSN 0377-0427], v. 177 (1), p. 141-158
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