Constrained 2D Space-Time Meshing With All Tetrahedra

Alper Üngör, Cinda Heeren, Xiang-Yang Li, Alla Sheffer, Robert Haber, and Shang-Hua Teng

16th IMACS World Congress on Scientific Computation,Applied Mathematics and Simulation, Lausanne, Switzerland August 21-25, 2000

Abstract:

Space-time discontinuous Galerkin (DG) methods provide a solution for elastodynamic analysis, a problem that serves as a model for DG approximations of second-order hyperbolic problems. A direct element-by-element solution motivates the generation of a two dimensional (2D) space-time mesh with a cone constraint, the faces connecting two time slabs can not be steeper than a specified angle $\alpha$ with respect to the 2D space. This paper presents a solution to this constrained 2D space-time meshing problem using only simplicial elements.