Advances in Numerical Mathematics

Computational Micromagnetism

Authors: Prohl, Andreas

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About this Textbook

Ferromagnetic materials are widely used as recording media.
Their magnetic patterns are described by the well-accepted model of Landau and Lifshitz. Over the last years, different strategies habe been developed to tackle the related non-convex minimization problem: direct minimization, convexification, and relaxation by using Young measures. Nonstationary effects are considered in the extended models of Landau, Lifshitz and Gilbert for (electrically conducting) ferromagnets.
The objective of this monograph is a numerical analysis of these models. Part I discusses convergence behavior of different finite element schemes for solving the stationary problem. Part II deals with numerical analyses of different penalization / projection strategies in nonstationary micromagnetism; it closes with a chapter on nematic liquid crystals to show applicability of these new methods to further applications.

About the authors

Dr. Andreas Prohl, Universit├Ąt Kiel

Table of contents (7 chapters)

  • Direct Minimization

    Prohl, Andreas

    Pages 15-41

  • Convexified Micromagnetism

    Prohl, Andreas

    Pages 43-100

  • Relaxed Micromagnetism using Young Measures

    Prohl, Andreas

    Pages 101-117

  • The Landau-Lifshitz-Gilbert Equation

    Prohl, Andreas

    Pages 135-196

  • The Maxwell-Landau-Lifshitz-Gilbert Equations

    Prohl, Andreas

    Pages 197-232

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-663-09498-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-519-00358-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Computational Micromagnetism
Authors
Series Title
Advances in Numerical Mathematics
Copyright
2001
Publisher
Vieweg+Teubner Verlag
Copyright Holder
Springer Fachmedien Wiesbaden
eBook ISBN
978-3-663-09498-2
DOI
10.1007/978-3-663-09498-2
Softcover ISBN
978-3-519-00358-8
Series ISSN
1616-2994
Edition Number
1
Number of Pages
XVIII, 304
Number of Illustrations and Tables
93 b/w illustrations
Topics