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.
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.
From the reviews:
"A comprehensive survey of the magneto-quasistatic reduction of Maxwell's equations-usually called the eddy current approximation. ? There is a comprehensive bibliography of almost 250 items that provides an excellent coverage of the current literature. ? It provides a unique description of some important problems that the authors have studied in recent years and will, I am sure, stimulate a lot more research on related phenomena. The authors are to be commended for their broad perspective and their innovative coverage of these topics." (Giles Auchmuty, SIAM Review, Vol. 53 (4), 2011)
