(Ebook) Mesh Generation 1st edition by Pascal Frey, Paul Louis George 1848210299 9781848210295

(Ebook) Mesh Generation 1st edition by Pascal Frey, Paul Louis George 1848210299 9781848210295

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Product details:

ISBN-10 :  1848210299 

ISBN-13 : 9781848210295

Author: Pascal Frey, Paul-Louis George 

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.

Mesh Generation 1st Table of contents:

Chapter 1: General Definitions
1.1 Covering-up and triangulation
1.2 Mesh, mesh element, finite element mesh
1.3 Mesh data structures
1.4 Control space and neighborhood space
1.5 Mesh quality and mesh optimality
Chapter 2: Basic Structures and Algorithms
2.1 Why use data structures?
2.2 Elementary structures
2.3 Basic notions about complexity
2.4 Sorting and searching
2.5 One-dimensional data structures
2.6 Two and three-dimensional data structures
2.7 Topological data structures
2.8 Robustness
2.9 Optimality of an implementation
2.10 Examples of generic algorithms
Chapter 3: A Comprehensive Survey of Mesh Generation Methods
3.1 Classes of methods
3.2 Structured mesh generators
3.3 Unstructured mesh generators
3.4 Surface meshing
3.5 Mesh adaptation
3.6 Parallel unstructured meshing
Chapter 4: Algebraic, PDE and Multiblock Methods
4.1 Algebraic methods
4.2 PDE-based methods
4.3 Multiblock method
Chapter 5: Quadtree-octree Based Methods
5.1 Overview of spatial decomposition methods
5.2 Classical tree-based mesh generation
5.3 Governed tree-based method
5.4 Other approaches
5.5 Extensions
Chapter 6: Advancing-front Technique for Mesh Generation
6.1 A classical advancing-front technique
6.2 Governed advancing-front method
6.3 Application examples
6.4 Combined approaches
6.5 Extensions
Chapter 7: Delaunay-based Mesh Generation Methods
7.1 Voronoï diagram and Delaunay triangulation
7.2 Constrained triangulation
7.3 Classical Delaunay meshing
7.4 Other methods
7.5 Isotropic governed Delaunay meshing
7.6 Extensions
Chapter 8: Other Types of Mesh Generation Methods
8.1 Product method
8.2 Grid or pattern-based methods
8.3 Optimization-based method
8.4 Quads by means of triangle combination
8.5 Quads by means of a direct method
8.6 Hex meshing
8.7 Miscellaneous
Chapter 9: Delaunay Admissibility, Medial Axis and Applications
9.1 Delaunay-admissible set of segments in R2
9.2 Delaunay-admissible set of segments in R3
9.3 Delaunay-admissible set of triangular faces
9.4 Medial axis
9.5 Mid-surface
9.6 Applications
Chapter 10: Quadratic Forms and Metrics
10.1 Bilinear and quadratic forms
10.2 Distances and lengths
10.3 Metric-based operations
10.4 Metric construction
Chapter 11: Differential Geometry
11.1 Metric properties of curves and arcs
11.2 Metric properties of a surface
11.3 Computational issues about surfaces
11.4 Non-linear problems
Chapter 12: Curve Modeling
12.1 Interpolation and smoothing techniques
12.2 Lagrange and Hermite interpolation
12.3 Explicit construction of a composite curve
12.4 Control polygon based methods
12.5 Bézier curves
12.6 From composite curves to B-splines
12.7 Rational curves
12.8 Curve definitions and numerical issues
12.9 Towards a “pragmatic” curve definition?
Chapter 13: Surface Modeling
13.1 Specific surfaces
13.2 Interpolation-based surfaces
13.3 Tensor product and control polyhedron
13.4 Triangular patches and Bezier triangles
13.5 Other types of patches
13.6 Composite surfaces
13.7 Explicit construction of a composite surface
Chapter 14: Curve Meshing
14.1 Meshing a segment
14.2 Meshing a parametric curve
14.3 Curve meshing using a discrete definition
14.4 Re-meshing algorithm
14.5 Curves in R3
Chapter 15: Surface Meshing and Re-meshing
15.1 Curve meshing (curve member of a surface)
15.2 First steps in surface meshing
15.3 A single patch
15.4 Multi-patches surface (patch-dependent)
15.5 Multi-patches surface (patch-independent)
15.6 Ill-defined multi-patches surface
15.7 Molecular surfaces
15.8 Surface reconstruction
15.9 Discrete surface (re-meshing process)
Chapter 16: Meshing Implicit Curves and Surfaces
16.1 Review of implicit functions
16.2 Implicit function and meshing
16.3 Implicit curve meshing
16.4 Implicit surface meshing
16.5 Extensions
Chapter 17: Mesh Modifications
17.1 Mesh (geometric) modifications
17.2 Merging two meshes
17.3 Node creation and node labeling
17.4 Renumbering issues
17.5 Miscellaneous
Chapter 18: Mesh Optimization
18.1 About element measurement
18.2 Mesh quality (classical case)
18.3 Mesh quality (isotropic and anisotropic case)
18.4 Tools for mesh optimization
18.5 Strategies for mesh optimization
18.6 Computational issues
18.7 Application examples
Chapter 19: Surface Mesh Optimization
19.1 Quality measures
19.2 Discrete evaluation of surface properties
19.3 Constructing a geometric support
19.4 Optimization operators
19.5 Optimization methods
19.6 Application examples
Chapter 20: A Touch of Finite Elements
20.1 Introduction to a finite element style computation
20.2 Definition and first examples of finite elements
20.3 Error estimation and convergence
20.4 Stiffness matrix and right-hand side
20.5 A few examples of popular finite elements
Chapter 21: Mesh Adaptation and H-methods
21.1 Control space (background mesh)
21.2 Adaptation by local modifications
21.3 Global isotropic adaptation method
21.4 Global anisotropic adaptation method
21.5 Adaptation
21.6 Application examples
Chapter 22: Mesh Adaptation and P or Hp-methods
22.1 P2 mesh
22.2 P-compatibility
22.3 Construction of P2 elements
22.4 Elements of higher degree
22.5 P-methods and Hp-methods
Chapter 23: Moving or Deformable Meshing Techniques
23.1 Rigid body motion
23.2 ALE methods
23.3 Mesh deformation
23.4 Interface tracking
Chapter 24: Parallel Computing and Meshing Issues
24.1 Partition of a domain
24.2 Parallel meshing process
24.3 Parallel meshing techniques

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