Asymptotic Behavior of the Average of the Adjacencies of the Topological Entities in Some Simplex Partitions

Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.233-240, October 1999

MESHING
RESEARCH
CORNER

Abstract
In this communication a general kind of simplex partitions are studied. These partitions are associated to some recurrence relations. The study of these equations lead us to set some properties in 2D and 3D about the average adjacencies of the topological entities defining the mesh, when the number of refinements tends to infinite. We prove that this limit is independent of the considered partition in 2D. This is not the case for three dimensions and partitions of tetrahedra. Some simplex partitions in 2D and 3D are studied in detail.

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