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Meshing, Geometric Modeling and Numerical Simulation 3
Cover
Title page
Copyright
Foreword
Introduction
Chapter 1. Data and Basic Techniques
1.1. Basic data structures and basic techniques
1.2. Internal data structures
1.3. External data structures
1.4. Data structures and memory access
Chapter 2. Mesh Transformations, Patching, Merging and Immersion
2.1. Geometric transformations
2.2. Reconnection
2.3. Merging
2.4. Immersion
Chapter 3. Renumbering and Memory
3.1. Vertex and node renumbering
3.2. Renumbering of the elements
3.3. Some examples
Chapter 4. High-Degree Mesh Visualization
4.1. Geometric operators and topological operators
4.2. Representation of curved meshes
4.3. Quick introduction to OpenGL and to the design of a graphics software program
4.4. Some examples
Chapter 5. Visualization of a Solution Field Related to a High-Degree Mesh
5.1. Element recursive subdivision
5.2. Recursive subdivision of a solution field
5.3. Classic or adaptive tessellation
5.4. Toward the design of graphic software based on OpenGL
5.5. Some examples
Chapter 6. Meshes and Finite Element Calculations
6.1. From continuous formulation to discrete notation
6.2. Calculation of an elementary matrix
6.3. Matrix or right-hand side assembly
Chapter 7. Meshes and Finite Volume Calculation
7.1. Presentation of the finite volume method with a first-order problem
7.2. Finite volume methods for two-dimensional Euler equations
7.3. From theory to practice
7.4. Numerical examples
Chapter 8. Examples Through Practice
8.1. Reading, writing and manipulating a mesh
8.2. Programming a hashing algorithm
8.3. One point insertion operator per cavity, application to image compression
8.4. Retrieving a connected component
8.5. Exercises on metrics
Chapter 9. Some Algorithms and Formulas
9.1. Bernstein polynomials and Bézier forms
9.2. Localization problems in a curved mesh
9.3. Space-filling curves
Conclusion and Perspectives
Bibliography
Index
End User License Agreement
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Meshing, Geometric Modeling and Numerical Simulation 3
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