Eddy Current Approximation of Maxwell Equations

Theory, algorithms and applications

  • Ana Alonso Rodríguez
  • Alberto Valli

Part of the MS&A book series (MS&A, volume 4)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Ana Alonso Rodríguez, Alberto Valli
    Pages 1-19
  3. Ana Alonso Rodríguez, Alberto Valli
    Pages 21-34
  4. Ana Alonso Rodríguez, Alberto Valli
    Pages 35-57
  5. Ana Alonso Rodríguez, Alberto Valli
    Pages 59-110
  6. Ana Alonso Rodríguez, Alberto Valli
    Pages 111-145
  7. Ana Alonso Rodríguez, Alberto Valli
    Pages 147-204
  8. Ana Alonso Rodríguez, Alberto Valli
    Pages 205-234
  9. Ana Alonso Rodríguez, Alberto Valli
    Pages 235-274
  10. Ana Alonso Rodríguez, Alberto Valli
    Pages 275-307
  11. Back Matter
    Pages 309-347

About this book

Introduction

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.

Keywords

Computational mathematics Industrial mathematics Mathematical modeling Maxwell's equations Numerical analysis PDE finite element method

Authors and affiliations

  • Ana Alonso Rodríguez
    • 1
  • Alberto Valli
    • 1
  1. 1.Department of MathematicsUniversity of TrentoTrentoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-88-470-1506-7
  • Copyright Information Springer-Verlag Milan 2010
  • Publisher Name Springer, Milano
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-88-470-1505-0
  • Online ISBN 978-88-470-1506-7
  • Series Print ISSN 2037-5255
  • About this book