Abstract
We present a refinement algorithm for unstructured tetrahedral grids which generates possibly highly non-uniform but nevertheless consistent (closed) and stable triangulations. Therefore we first define somelocal regular and irregular refinement rules that are applied to single elements. Theglobal refinement algorithm then describes how these local rules can be combined and rearranged in order to ensure consistency as well as stability. It is given in a rather general form and includes also grid coarsening.
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