Degenerate Tetrahedra Recovering
Wednesday 23rd April 2014
Dassi, F.; Formaggia, L.; Zonca, S.
Many mesh generation or optimization algorithms could produce a low quality tetrahedral mesh, i.e. a mesh where the tetrahedra have very small solid or dihedral angles. In this paper, we propose a series of operations to recover these degenerate tetrahedra. In particular, we will focus on the standard shapes of these undesired mesh elements (sliver, cap, wedge and spade) and, for each of these configurations, we apply a suitable sequence of classical mesh modification procedures to get a higher quality mesh. The reliability of the proposed mesh optimization algorithm is numerically proved with some examples.