Average adjacencies for tetrahedral skeleton-regular partitions

  • Authors:
  • A. Plaza;M. C. Rivara

  • Affiliations:
  • Department of Mathematics, University of Las Palmas de Gran Canaria (ULPGC), Tafira, Baja, 35017 Las Palmas de Gran Canaria, Spain;Department of Computer Science, University of Chile, Santiago, Chile

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2005

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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.