17th International Meshing Roundtable
Pittsburgh, Pennsylvania, U.S.A.
October 12-15, 2008
Department of Mathematics
Department of Computer Science
Center for Simulation of Advanced Rockets University of Illinois at Urbana-Champaign
A completely well-centered tetrahedral mesh is a triangulation of a three dimensional
domain in which every tetrahedron and every triangle contains its circumcenter 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.
Download Full Paper (PDF Format)
Contact author(s) or publisher for availability and copyright information on above referenced article