TY - JOUR
T1 - Mesh Optimization Based on the Centroidal Voronoi Tessellation
AU - D. Wang & Q. Du
JO - International Journal of Numerical Analysis and Modeling
VL - 0
SP - 100
EP - 113
PY - 2005
DA - 2005/11
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/950.html
KW - 
AB - <p style="text-align: justify;">The subject of mesh generation and optimization is very
important in many scientific applications. In this paper, we investigate
the issue of mesh optimization via the construction of Centroidal
Voronoi Tessellations. Given some initial Delaunay meshes with only
average quality, it is shown that the CVT based mesh optimization
generates a robust, high quality mesh which does not rely critically on
the choice of the initial mesh. In comparison, other smoothing
techniques, such as the classical Laplacian smoothing, tend to be more
sensitive to the initial distributions of vertices. Thus, the CVT based
optimization may be advocated as a preferred choice for mesh optimization
and smoothing.</p>