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

UR - http://www.scopus.com/inward/citedby.url?scp=84867979368&partnerID=8YFLogxK

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 -