### Abstract

A completely well-centered tetrahedral mesh is a triangulation of a three dimensional domain in which every tetrahedron and every triangle contains its circum center in its interior. Such meshes have applications in scientific computing and other fields. We show how to triangulate simple domains using completely well-centered tetrahedra. The domains we consider here are space, infinite slab, infinite rectangular prism, cube, and regular tetrahedron. We also demonstrate single tetrahedra with various combinations of the properties of dihedral acuteness, 2-well-centeredness, and 3-well-centeredness.

Original language | English (US) |
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Title of host publication | Proceedings of the 17th International Meshing Roundtable, IMR 2008 |

Publisher | Kluwer Academic Publishers |

Pages | 19-35 |

Number of pages | 17 |

ISBN (Print) | 9783540879206 |

DOIs | |

State | Published - Jan 1 2008 |

Event | 17th International Meshing Roundtable, IMR 2008 - Pittsburgh, PA, United States Duration: Oct 12 2008 → Oct 15 2008 |

### Publication series

Name | Proceedings of the 17th International Meshing Roundtable, IMR 2008 |
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### Other

Other | 17th International Meshing Roundtable, IMR 2008 |
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Country | United States |

City | Pittsburgh, PA |

Period | 10/12/08 → 10/15/08 |

### ASJC Scopus subject areas

- Engineering (miscellaneous)

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## Cite this

VanderZee, E., Hirani, A. N., & Guoy, D. (2008). Triangulation of simple 3D shapes with well-centered tetrahedra. In

*Proceedings of the 17th International Meshing Roundtable, IMR 2008*(pp. 19-35). (Proceedings of the 17th International Meshing Roundtable, IMR 2008). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-540-87921-3_2