Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations

  title={Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations},
  author={Qiang Du and Desheng Wang},
The centroidal Voronoi tessellation based Delaunay triangulation (CVDT) provides an optimal distribution of generating points with respect to a given density function and accordingly generates a high-quality mesh. In this paper, we discuss algorithms for the construction of the constrained CVDT from an initial Delaunay tetrahedral mesh of a three-dimensional domain. By establishing an appropriate relationship between the density function and the speci ed sizing eld and applying the Lloyd’s… CONTINUE READING
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