Meshing, Geometric Modeling and Numerical Simulation 1 Form Functions, Triangulations and Geometric Modeling

Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between the meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this meshing vision.

Paul-Louis George, French Institute for Research in Computer Science and Automation, France.

1. Finite Elements and Shape Functions.

2. Lagrange and Bézier Interpolants.

3. Geometric Elements and Geometric Validity.

4. Triangulation.

5. Delaunay Triangulation.

6. Triangulation and Constraints.

7. Geometric Modeling: Methods.

8. Geometric Modeling: Examples.

9. A Few Basic Algorithms and Formulae.

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.