In polygonal finite element method

using polygons to generate meshes can describe complexity geometric shapes more accurately and can enhance the flexibility of meshes generation. In this paper the Delaunay polygon is constructed based on Delannay triangulation by incorporating the Delaunay triangulars of a shared Delaunay circumcircle. The algorithm of Delaunay polygonization for polygonal elements grids generation is presented. Each polygonal mesh generated by Delaunay polygoniztion is unique. Some geometric domains usually used in engineering are meshed using the proposed technique. Mesh examples demonstrate that the Delaunay polygoniztion technique can generate excellent polygonal networks.