MS&A

Eddy Current Approximation of Maxwell Equations

Theory, Algorithms and Applications

Authors: Alonso Rodriguez, Ana, Valli, Alberto

  • 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
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eBook $109.00
price for USA (gross)
  • ISBN 978-88-470-1506-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-88-470-1505-0
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $149.00
price for USA
  • ISBN 978-88-470-5584-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

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

Reviews

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)

Table of contents (9 chapters)

  • Setting the problem

    Rodríguez, Ana Alonso (et al.)

    Pages 1-19

  • A mathematical justification of the eddy current model

    Rodríguez, Ana Alonso (et al.)

    Pages 21-34

  • Existence and uniqueness of the solution

    Rodríguez, Ana Alonso (et al.)

    Pages 35-57

  • Hybrid formulations for the electric and magnetic fields

    Rodríguez, Ana Alonso (et al.)

    Pages 59-110

  • Formulations via scalar potentials

    Rodríguez, Ana Alonso (et al.)

    Pages 111-145

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-88-470-1506-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-88-470-1505-0
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $149.00
price for USA
  • ISBN 978-88-470-5584-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Eddy Current Approximation of Maxwell Equations
Book Subtitle
Theory, Algorithms and Applications
Authors
Series Title
MS&A
Series Volume
4
Copyright
2010
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer-Verlag Milan
eBook ISBN
978-88-470-1506-7
DOI
10.1007/978-88-470-1506-7
Hardcover ISBN
978-88-470-1505-0
Softcover ISBN
978-88-470-5584-1
Series ISSN
2037-5255
Edition Number
1
Number of Pages
XIII, 347
Topics