All discretizations considered in this monograph are based on partitions of \(\varOmega \) . After having introduced notations in Sect. 4.1, simplicial triangulations and their special properties are discussed in Sect. 4.2. Section 4.3 considers families of triangulations. Finally, in Sect. 4.4, Voronoi diagrams are presented and their relation to Delaunay triangulations is explained.

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Partitions of the Domain

  • Gabriel R. Barrenechea,
  • Volker John,
  • Petr Knobloch

摘要

All discretizations considered in this monograph are based on partitions of \(\varOmega \) . After having introduced notations in Sect. 4.1, simplicial triangulations and their special properties are discussed in Sect. 4.2. Section 4.3 considers families of triangulations. Finally, in Sect. 4.4, Voronoi diagrams are presented and their relation to Delaunay triangulations is explained.