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1-irregular element tessellation in mixed element meshes for the control volume discretization method

Hitschfeld, Nancy and Rodrigo Farias

5th International Meshing Roundtable, Sandia National Laboratories, pp.195-204, October 1996


This paper presents an algorithm to compute the minimal tessellation of 1- irregular elements such as cuboids, rectangular prisms and pyramids. The minimal tessellation is the one that contains the minimum number of terminal elements. Terminal elements are the elements that compose the final mesh. The complete mesh fulfills the Delaunay condition and is adequate for the control volume discretization method (Box-method). An Irregular element is the one that contains at most one additional vertex (Steiner point) on each element edge. Since these additional vertices can be located in any position on the respective edge, it is not possible to use the known strategies for the tessellation of elements whose edges are bisected.

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