Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and Applications

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Springer Science & Business Media, Nov 22, 2010 - Mathematics - 347 pages
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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.

 

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Contents

1 Setting the problem
1
2 A mathematical justification of the eddy current model
20
3 Existence and uniqueness of the solution
35
4 Hybrid formulations for the electric and magnetic fields
59
5 Formulations via scalar potentials
111
6 Formulations via vector potentials
146
7 Coupled FEMBEM approaches
205
8 Voltage and current intensity excitation
235
9 Selected applications
275
Appendix
309
References
330
Index
344
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About the author (2010)

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

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