Abstract

The refinement of tetrahedral meshes is a significant task in many numerical and discretizations methods. The computational aspects for implementing refinement of meshes with complex geometry need to be carefully considered in order to have real-time and optimal results. In this paper we enumerate the relevant computational aspects of tetrahedral refinement algorithms. For local and adaptive refinement we give numerical results of the computational propagation cost of a general class of longest edge based refinement and show the implications of the complex geometry in the global process.

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