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Eddy current approximation of Maxwell equations. Theory, algorithms and applications. (English) Zbl 1204.78001
MS&A. Modeling, Simulation and Applications 4. Milano: Springer (ISBN 978-88-470-1505-0/hbk; 978-88-470-1506-7/ebook). xiii, 347 p. (2010).
This book deals with the mathematical analysis and the numerical approximation of time-harmonic eddy current problems. It is self-contained and suitable for mathematicians and engineers working in the field, and also accessible for beginners. Depending on the choice of the physical unknowns, these problems are formulated in different variational ways, with specific attention to the topology of the computational domain. Finite elements of nodal or edge type are used for numerical approximation, and a complete analysis of convergence is performed. A specific feature of the book is the emphasis given to saddle-point formulations in terms of the magnetic and electric fields. New results for voltage or current intensity excitation problems are also presented.

MSC:
78-02 Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
78M15 Boundary element methods applied to problems in optics and electromagnetic theory
78A25 Electromagnetic theory (general)
78A55 Technical applications of optics and electromagnetic theory
78A70 Biological applications of optics and electromagnetic theory
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