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 Volume 1, the theoretical foundations relating to triangulations, finite element shape functions and their interpretations as geometric patches were explored. This has made it possible to build tools that make the geometric modeling of any object possible. These elements are used in Volume 2 to treat meshing problems in their different implementations.
Meshing, Geometric Modeling and Numerical Simulation 3 offers technical additions to the methods seen in the first two volumes and a significant portion of this book is dedicated to mesh visualization problems and solutions, especially those with a high degree of complexity.
1. Data and Basic Techniques.
2. Mesh Transformations, Patching, Merging and Immersion.
3. Renumbering and Memory.
4. High-Degree Mesh Visualization.
5. Visualization of a Solution Field Related to a High-Degree Mesh.
6. Meshes and Finite Element Calculations.
7. Meshes and Finite Volume Calculation.
8 .Examples Through Practice.
9. Some Algorithms and Formulas.
Paul Louis George is Emeritus Director of Research at the French Institute for Research in Computer Science and Automation (Inria), France, and one of the most internationally recognized experts in meshing.
Frédéric Alauzet and Adrien Loseille are researchers at Inria, both with particular expertise in meshing adaptation, error estimators, solution methods (advanced solvers in fluid mechanics), remeshing methods and high order methods, among other things.
Loïc Maréchal is a long-time collaborator at Inria as an engineer and a leading authority on hexahedra. He is also an expert on data structures and problems related to memory management.
Table of Contents
PDF File 48 Kb