The finite element method for electromagnetic modeling

Written by specialists of modeling in electromagnetism, this book presents a large review on the finite element method for low frequency applications. General 2D and 3D static and dynamic formulations associated with different macroscopic behavior laws of magnetic and electric material are first presented. Specific formulations are then proposed : the modeling of thin regions and infinite domains, the coupling of 2D and 3D formulations with the circuits equations, the taking into account of the movement, the treatment of geometrical symmetries, the modeling of coupled problems (magneto-thermal coupling, magneto mechanical coupling and magneto-hydro-dynamical coupling). The adaptation of CAD techniques in the context of the finite element method in electromagnetism is then developed : automatic meshing, adaptive mesh refinement procedure and optimization of devices.

Contents 

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,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,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.