GMSHs Approach to Robust Mesh Generation of Surfaces with Irregular Parametrizations

This paper proposes a robust and effective approach to overcome a major difficulty associated to surface finite element mesh generation: the handling surfaces with irregular (singular) parametrizations such as spheres, cones or other surfaces of revolution produced by common Computer Aided Design tools. The main idea is to represent triangles incident to irregular points as trapezoids with one degenerated edge. This new approach has been implemented in Gmsh and examples containing thousands of surfaces with irregular points are presented at the end of the paper.