Centroidal Voronoi Tessellations, Meshes and PDEs

(Abstract)

Centroidal Voronoi Tessellation has become a useful tool in many applications ranging from image and data analysis to physics and biology. In this talk, we first introduce the concept of centroidal Voronoi tessellations and then discuss the relevant mathematical theory and related applications. We focus, in particular, on the optimal unstructured meshing and draw connections with various issues in the numerical solution of PDEs.