Well-centered meshing

Abstract

A well-centered simplex is a simplex whose circumcenter lies in its interior, and a well-centered mesh is a simplicial mesh in which every simplex is well-centered. We examine properties of the well-centered simplex and well-centered meshes, present experimental results from an optimization method designed to make meshes well-centered, and give examples of well-centered tetrahedral meshes of a variety of three-dimensional regions