Introduction
Finite element method
What is finite element mesh generation?
Why finite element mesh generation?
Problem definition, scope and philosophy, science or art?
General strategies, robustness, difficulties and methodologies
Mathematics
Historical development
So far achieved and what lies ahead
Topics discussed in the chapters
Fundamentals
Introduction
Notations, symbols and abbreviations
Terminologies and data structures
Geometrical operations and formulas
Topological operations and algorithms
Sorting
Background grid
Mesh generation on planar domain
Introduction
Structured mesh on planar domain
Unstructured mesh on planar domain
Meshing by quadtree decomposition
Delaunay triangulation (DT)
Advancing front approach
Meshing by a combined scheme of DT and ADF approach
Enhanced quadtree meshing
Quadrilateral mesh
Mesh generation over curved surfaces
Introduction
Parametric mapping method
Mesh generation by packing ellipses
Direct mesh generation on surface
Mesh generation by surface intersection
Quadrilateral surface mesh
Mesh generation in three dimensions
Introduction
Delaunay triangulation (3D)
Boundary recovery for 3D DT
Boundary protection in DT
Generation of tetrahedral mesh by ADF approach
Delaunay–ADF meshing
Generation of tetrahedral mesh by sphere packing
Generation of hexahedral mesh
Mesh optimisation
Introduction
Shape measure and quality coefficient
Optimisation by shifting of nodes
Optimisation by topological operations
Mesh generation by parallel processing
Introduction
Fundamentals and strategies
Parallel Delaunay triangulation in 2D
Parallel Delaunay triangulation in 3D
Partition of discretised surface for parallel processing
Auxiliary meshing techniques
Surface verification and preparation
Multi-grid insertion of non-uniform point distributions (2D)
Multi-grid insertion of non-uniform point distributions (3D)
Mesh generation and adaptation by edge refinement
Meshing volume bounded by analytical curved surfaces
Merging of tetrahedral meshes
Merging of hexahedral meshes
Curvilinear finite element mesh
Adaptive refinement analysis
References
Appendix
Index
Biography
Daniel S.H. Lo received his Doc-Ing from L’Ecole Nationale des Ponts et Chaussees in France. He is currently a professor at the Department of Civil Engineering of the University of Hong Kong, and has been working on mesh generation for more than 30 years. Apart from numerous journal papers on mesh generation and finite element technology, Lo has also been the guest editor for two special issues on finite element mesh adaptation, co-author of a book on the finite element method, and author of book chapters on mesh generation.
"… the present monograph fills a gaping hole in the literature on scientific computing… it could be subtitled by 'All you want to know about mesh generation'."
—Zentralblatt MATH, 2015"This book provides a well-structured and thorough treatment of very recent research on mesh generation, in a single well organized document. The descriptions of methods and algorithms are complete and provide readers with all the necessary information needed to implement on their own the algorithms and methods discussed in the book. Numerical examples provide concrete measures of the performance of the algorithms and can serve as a reference for those interested in validating their own implementations."
—Francois Guibault, Polytechnique Montreal, Canada
"…there are very few books on this subject. Daniel Lo’s book (examining the contents) offers a practical point of view and gives details on some topics which, I think, are not cover[ed] by the other books on meshing techniques."
—Houman Borouchaki, Université de Technologie de Troyes, France
"This book brings together the major propulsion system components with control oriented models and actuators to enable software and hardware-in-the-loop simulations. … This book will provide students with a detailed set of component models and simulation tools to learn Rapid Control Prototyping methods."
—Douglas J. Nelson, Professor of Mechanical Engineering, Virginia Tech"This book is aimed at those who want a comprehensive overview of the techniques of finite-element mesh generation. The techniques and algorithms are clearly explained and there are good references to follow up where greater detail is required. However, there is probably a broader readership among practising engineers, who use the finite-element method on a daily basis, and who want a better understanding of the tools they rely on as a basis for their calculations."
—Stephen Hendry, Engineering and Computational Mechanics
