This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.

It is self-contained and suitable for mathematicians and engineers working in the field, and also accessible for beginners A specific feature of the book is the emphasis given to saddle-point formulations in terms of the magnetic and electric fields

Autorentext

Since more than ten years the authors have performed researches in the field of numerical approximation of partial differential equations, especially the finite element approximation of problems in electromagnetics. They have published many papers on numerical approximation of partial differential equations on some of the most important journal devoted to this topic. The second author has written two other books on the subject: A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations, Springer, 1997 (second edition); A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations, Oxford University Press, 1999

Inhalt
Setting the problem.- A mathematical justification of the eddy current model.- Existence and uniqueness of the solution.- Hybrid formulations for the electric and magnetic fields.- Formulations via scalar potentials.- Formulations via vector potentials.- Coupled FEM-BEM approaches.- Voltage and current intensity excitation.- Selected applications.