Degenerate tetrahedra removal

作者：Dassi Franco; Formaggia Luca; Zonca Stefano^*

来源：Applied Numerical Mathematics, 2016, 110: 1-13.

DOI：10.1016/j.apnum.2016.07.013

• Tetrahedral mesh
• Mesh quality
• Mesh adaptation

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.

• 出版日期2016-12