Mesh Generation Application to Finite Elements

The aim of the second edition of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction. In addition, several aspects are given full coverage, such as mesh modification tools, mesh evaluation criteria, mesh optimization, adaptive mesh construction and parallel meshing techniques. This new edition has been comprehensively updated and also includes a new chapter on mobile or deformable meshes.

Pascal Jean Frey, UPMC Paris 6, France

Paul-Louis George, INRIA, France

General definitions
Basic structures and algorithms
A comprehensive survey of mesh generation methods
Algebraic, PDE and multibloc methods
Quadtree-octree-based methods
Advancing front technique for mesh generation
Delaunay-based mesh generation methods
Other types of mesh generation methods
Delaunay admissibility, media axis, mid-surface and other applications
Quadratic forms and metrics
Differential geometry
Curve modeling
Surface modeling
Surface meshing and re-meshing
Meshing implicit curves and surfaces
Mesh modifications
Mesh optimization
Surface mesh optimization
A touch of finite elements
Mesh adaptation and h-methods
Mesh adaptation and p or hp-methods
Mobile or deformable meshes
Parallel computing and meshing issues
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Mesh Generation Application to Finite Elements

Summary

Author Biography

Table of Contents

Supplemental Materials