Written by specialists in the modeling of electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Static, magnetodynamic and fixed formulations are first covered, before the discussion moves on to different macroscopic behavior laws of materials and their implementation in a finite element context, and to more specific formulations: the modeling of thin regions when finite elements become ill-fitting, the coupling of 2D and 3D formulations with circuit equations (taking into account the presence of eddy currents) and the treatment of geometric symmetries when the sources are not symmetric. Coupled problems are then outlined before the book concludes with coverage of different meshing methods in the context of electromagnetism and optimization techniques.
1. Introduction to Nodal Finite Elements, J.L. Coulomb.
2. Static Formulations: Electrostatic, Electrokinetic, Magnetostatics, P. Dular, F. Piriou.
3. Magnetodynamic Formulations, Z. Ren, F. Bouillault.
4. Mixed Finite Element Methods in Electromagnetism, B. Bandelier, F. Rioux-Damidau.
5. Behavior Laws of Materials,
F. Bouillault, A. Kedous-Lebouc, G. Meunier, F. Ossart, F. Piriou.
6. Modeling on Thin and Line Regions, C. Guérin.
7. Coupling with Circuit Equations, G. Meunier, Y. Lefevre, P. Lombard, Y. Le Floch.
8. Modeling of Motion: Accounting for Movement in the Modeling of Magnetic Phenomena, V. Leconte.
9. Symmetric Components and Numerical Modeling, J. Lobry, E. Nens, C. Broche.
10. Magneto-thermal Coupling, M. Féliachi, J. Fouladgar.
11. Magneto-mechanical Modeling, Y. Lefevre, G. Reyne.
12. Magnetohydrodynamics: Modeling of a Kinematic Dynamo, F. Plunian, P. Massé.
13. Mesh Generation, Y. Du Terrail Couvat, F.X. Zgainski, Y. Maréchal.
14. Optimization, J.L. Coulomb.
Gérard Meunier received his PhD from the INP Grenoble University in 1981. He joined the CNRS in 1982 in the Grenoble Electrical Engineering Research Center (G2Elab) where he is currently CNRS Research Director. His research is devoted to the numerical modeling of electromagnetic phenomena.