Hermes, 1998. — 431 p.
Triangle, tetrahedron, triangulation, meshAbout the triangle
About the tetrahedron
Simplex
Triangulation
Mesh
Useful element sets
Notes
Delaunay triangulationFrom Dirichlet to Delaunay
Delaunay lemma
Incremental method
Other methods
Computational aspects
About some results
Applications
Notes
Constrained triangulationConstraints and triangulation
Some definitions
Constrained triangulation problems
The two-dimensional case
Constrained Delaunay triangulation
The three-dimensional case
Higher dimensions
Computational aspects in three dimensions
Some application examples
Applications
Notes Ill
Anisotropic triangulationNotion of a metric
Incremental method
Computational aspects
Some results
Applications
Notes
Meshing in two dimensionsThe empty mesh construction
Field points (creation)
Control space
Creation along the edges, classical case
Creation along the edges, isotropic case
Creation along the edges, anisotropic case
Advancing-front type creation
Field points (insertion)
Optimization
General scheme for the mesh generator
Some results
Notes
Parametric surface meshingThe fundamental forms and related metrics
Surface meshing "
Some results
Applications
Notes
Meshing in three dimensionsThe empty mesh construction
Field points (creation)
Several methods for field points creation
Control space
Creation along the edges, classical case
Creation along the edges, isotropic case
Creation along the edges, anisotropic case
Advancing-front type creation
Field points (insertion)
Specified internal edges and faces
Optimization
General scheme of the mesh generator
About some results
Notes
OptimizationsMesh quality
Topological operators
Geometric operators
Remarks on surface optimization
Algorithmic aspects
Some results
Applications
Notes
Mesh adaptationMesh adaptivity methods
Modification versus reconstruction
General scheme for an adaptation loop
Control space
Boundary meshing (or remeshing)
Domain meshing
Solution interpolation
General scheme of an adaptive loop
Some results
Notes
Data structuresUseful information (tentative list)
A general data structure
A geometric data structure
Geometric representation
Mesh data structure
Notes
Boundary meshingBoundary meshing in two dimensions
Boundary meshing in three dimensions
Results
Notes
Finite element applicationsMetric definition and metric construction
Three CFD examples
Notes
Other applicationsMedial axis and medial surface
Parallel computing
Delaunay triangulation of the convex hull
Minimal roughness of a surface
Notes
Appendix