Meshing Geometric Modeling and Numerical Simulation Volume 2 1st Edition by Houman Borouchaki, Frederic Alauzet, Patrick Laug, Paul Louis George, Adrien Loseille, Loic Marechal ISBN 9781119384366 1119384362

Meshing Geometric Modeling and Numerical Simulation Volume 2 1st Edition by Houman Borouchaki, Frederic Alauzet, Patrick Laug, Paul Louis George, Adrien Loseille, Loic Marechal – Ebook PDF Instant Download/Delivery: 9781119384366 ,1119384362
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Product details:

ISBN 10: 1119384362
ISBN 13: 9781119384366
Author: Houman Borouchaki, Frederic Alauzet, Patrick Laug, Paul Louis George, Adrien Loseille, Loic Marechal

Meshing Geometric Modeling and Numerical Simulation Volume 2 1st Edition Table of contents:

Chapter 1: Metrics, Definitions and Properties

1.1. Definitions and properties

1.2. Metric interpolation and intersection

1.3. Geometric metrics

1.4. Meshing metrics

1.5. Metric gradation

1.6. Element metric

1.7. Element shape and metric quality

1.8. Practical computations in the presence of a metric

Chapter 2: Interpolation Errors and Metrics

2.1. Some properties

2.2. Interpolation error of a quadratic function

2.3. Bézier formulation and interpolation error

2.4. Computations of discrete derivatives

Chapter 3: Curve Meshing

3.1. Parametric curve meshing

3.2. Discrete curve meshing

3.3. Remeshing a meshed curve

Chapter 4: Simplicial Meshing

4.1. Definitions

4.2. Variety (surface) meshing

4.3. The meshing of a plane or of a volume domain

4.4. Other generation methods?

Chapter 5: Non-simplicial Meshing

5.1. Definitions

5.2. Variety meshing

5.3. Construction methods for meshing a planar or volume domain

5.4. Other generation methods

5.5. Topological invariants (quadrilaterals and hexahedra)

Chapter 6: High-order Mesh Construction

6.1. Straight meshes

6.2. Construction of curved meshes

6.3. Curved meshes on a variety, curve or surface

Chapter 7: Mesh Optimization

7.1. Toward a definition of quality

7.2. Optimization process

7.3. Planar mesh

7.4. Surface mesh

7.5. Volume meshing

7.6. High-degree meshing

Chapter 8: Mesh Adaptation

8.1. Generic framework for adaptive computation, the continuous mesh

8.2. Optimal control of the interpolation error in Lp-norm

8.3. Generic scheme of stationary adaptation

8.4. Unsteady adaptation

8.5. Mobile geometry with or without deformation

Chapter 9: Meshing and Parallelism

9.1. Renumbering via a filling curve

9.2. Parallelism: two memory paradigms and different strategies

9.3. Algorithm parallelization for mesh construction

9.4. Parallelization of a mesh construction process, partition then meshing

9.5. Mesh parallelization, meshing then partition

Chapter 10: Applications

10.1. Surface meshing

10.2. In computational fluid dynamics

10.3. Computational solid mechanics

10.4. Computational electromagnetism

10.5. Renumbering and parallelism

10.6. Other more exotic applications

Chapter 11: Some Algorithms and Formulas

11.1. Local numbering of nodes of high-order elements

11.2. Length computations etc., in the presence of a metric field

11.3. Quality

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