Geometry and topology for mesh generation (Q2735984)

This book combines topics in mathematics, computer science and engineering devoted to grid or mesh generation. To solving problems of mesh generation the author develops a meaningful combination of concepts from combinatorial topology with numerical algorithms. State-of the-art methods and algorithms as well as modern mathematical description of physical situations are presented. NEWLINENEWLINENEWLINEThe book is a graduate text for courses on mesh generation. The chapters are divided into sections completed by exercises; each section corresponds to a lecture of about 75 minutes. The 23 open problems are collected in the last chapter. The reading is easy and many figures facilitate the understanding. NEWLINENEWLINENEWLINEThe author limits attention to meshes composed of triangles and tetrahedra. The book starts with Delaunay triangulations for finite point sets in the plane. The combinatorial topology is introduced to be used for surface simplification and then, to generalize two-dimensional Delaunay triangulations to three-dimensional Delaunay tetrahedrizations.