Standard 3D mesh generation algorithms may produce a low quality tetrahedral mesh, i.e., a mesh where the tetrahedra have very small dihedral angles. In this paper, we propose a series of operations to recover these badly-shaped tetrahedra. In particular, we will focus on the shape of these undesired mesh elements by proposing a novel method to distinguish and classify them. For each of these configurations, we apply a suitable sequence of operations to get a higher mesh quality. Finally, we employ a random algorithm to avoid locks and loops in the procedure. The reliability of the proposed mesh optimization algorithm is numerically proved with several examples.
Dassi, F., Zonca, S., & Formaggia, L. (2016). Degenerate tetrahedra removal. APPLIED NUMERICAL MATHEMATICS, 110, 1-13 [10.1016/j.apnum.2016.07.013].
Citazione: | Dassi, F., Zonca, S., & Formaggia, L. (2016). Degenerate tetrahedra removal. APPLIED NUMERICAL MATHEMATICS, 110, 1-13 [10.1016/j.apnum.2016.07.013]. | |
Tipo: | Articolo in rivista - Review Essay | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | Degenerate tetrahedra removal | |
Autori: | Dassi, F; Zonca, S; Formaggia, L | |
Autori: | ||
Data di pubblicazione: | 2016 | |
Lingua: | English | |
Rivista: | APPLIED NUMERICAL MATHEMATICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.apnum.2016.07.013 | |
Appare nelle tipologie: | 01 - Articolo su rivista |