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George G. Delaunay triangulation and meshing 1998 torrent


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Torrent added:2023-05-07 20:26:18

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Textbook in PDF format

Triangle, tetrahedron, triangulation, mesh
About the triangle
About the tetrahedron
Simplex
Triangulation
Mesh
Useful element sets
Notes
Delaunay triangulation
From Dirichlet to Delaunay
Delaunay lemma
Incremental method
Other methods
Computational aspects
About some results
Applications
Notes
Constrained triangulation
Constraints 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 triangulation
Notion of a metric
Incremental method
Computational aspects
Some results
Applications
Notes
Meshing in two dimensions
The 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 meshing
The fundamental forms and related metrics
Surface meshing "
Some results
Applications
Notes
Meshing in three dimensions
The 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
Optimizations
Mesh quality
Topological operators
Geometric operators
Remarks on surface optimization
Algorithmic aspects
Some results
Applications
Notes
Mesh adaptation
Mesh 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 structures
Useful information (tentative list)
A general data structure
A geometric data structure
Geometric representation
Mesh data structure
Notes
Boundary meshing
Boundary meshing in two dimensions
Boundary meshing in three dimensions
Results
Notes
Finite element applications
Metric definition and metric construction
Three CFD examples
Notes
Other applications
Medial axis and medial surface
Parallel computing
Delaunay triangulation of the convex hull
Minimal roughness of a surface
Notes
Appendix

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