TY - GEN
T1 - Triangulation of simple 3D shapes with well-centered tetrahedra
AU - VanderZee, Evan
AU - Hirani, Anil N.
AU - Guoy, Damrong
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84867979368&partnerID=8YFLogxK
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U2 - 10.1007/978-3-540-87921-3_2
DO - 10.1007/978-3-540-87921-3_2
M3 - Conference contribution
AN - SCOPUS:84867979368
SN - 9783540879206
T3 - Proceedings of the 17th International Meshing Roundtable, IMR 2008
SP - 19
EP - 35
BT - Proceedings of the 17th International Meshing Roundtable, IMR 2008
PB - Kluwer Academic Publishers
T2 - 17th International Meshing Roundtable, IMR 2008
Y2 - 12 October 2008 through 15 October 2008
ER -