Skip to main content
SpringerLink
Log in

Finite Element Micromagnetics

  • Conference paper
Computational Electromagnetics

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 28))

Summary

The development of advanced magnetic materials such as magnetic sensors, recording heads, and magneto-mechanic devices requires a precise understanding of the magnetic behavior. As the size of the magnetic components approach the nanometer regime, detailed predictions of the magnetic properties becomes possible using micromagnetic simulations. Micromagnetics combines Maxwell’s equations for the magnetic field with an equation of motion describing the time evolution of the magnetization. The local arrangement of the magnetic moments follows from the complex interaction between intrinsic magnetic properties such as the magnetocrystalline anisotropy and the physical/chemical microstructure of the material.

This paper reviews the basic numerical methods used in finite element micromagnetic simulations and presents numerical examples in the field of soft magnetic sensor elements, polycrystalline thin film elements, and magnetic nanowires.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aharoni A. (1996) Introduction to the Theory of Ferromagnetism. Oxford University Press, New York

    Google Scholar 

  2. Dahlberg, E. D., Zhu, J. G. (1995) Micromagnetic Microscopy and Modeling. Physics Today 48, 34–40

    Article  Google Scholar 

  3. Schabes, M. E., Fullerton, E. E., Margulies, D. T. (2001) Theory of Antiferromagnetically Coupled Magnetic Recording Media. J. Appl. Phys., in press

    Google Scholar 

  4. Johnson, M. (2000) Magnetoelectronic memories last and last …. IEEE Spectrum 37, 33–40

    Article  Google Scholar 

  5. Brown Jr., W. F. (1963) Micromagnetics, Interscience, New York

    Google Scholar 

  6. Kinderlehrer, D., Ma, L. (1994) Computational Hysteresis in Modeling Magnetic Systems. IEEE Trans. Magn. 30, 4380–4382

    Article  Google Scholar 

  7. He L., Doyle W. D. et al. (1996) High-speed switching in magnetic recording media. J. Magn. Magn. Mat. 155, 6–12

    Article  Google Scholar 

  8. Akagi F., Nakamura A. et al. (2000) Computer Simulation of Magnetization Switching Behavior in High-Data-Rate Hard-Disk Media Masukazu Igarashi, IEEE. Trans. Magn. 36, 154–158

    Article  Google Scholar 

  9. Harrell, R. W. (2001) Orientation dependence of the dynamic coercivity of Stoner-Wohlfarth particles. IEEE Trans. Magn. 37, 533–537

    Article  Google Scholar 

  10. Gilbert, T. L. (1955) A Lagrangian formulation of gyromagnetic equation of the magnetization field, Phys. Rev. 100, 1243

    Google Scholar 

  11. Chen, Q., Konrad, A. (1997) A review of finite element open boundary techniques for static and quasi-static electromagnetic field problems. IEEE Trans. Magn. 33, 663–676

    Article  Google Scholar 

  12. Fredkin, D. R., Koehler, T. R. (1990) Hybrid method for computing demagnetizing fields. IEEE Trans. Magn. 26, 415–417

    Article  Google Scholar 

  13. Bruaset, A. M. (1997) Krylov subspace iterations for sparse linear systems. In: Morten Daehlen, M., Tveito, A. (Eds.) Numerical Meth and Software Tools in Industrial Mathematics. Birkhauser, Boston, 21

    Google Scholar 

  14. Gadbois, J., and Zhu, J. G. (1995) Effect of Edge Roughness in Nano-Scale Magnetic Bar Switching. IEEE Trans. Magn. 31, 3802–3804

    Article  Google Scholar 

  15. Toussaint, J. C., Kevorkian, B., Givord, D., and Rossignol, M. F. (1996) Micromagnetic Modeling of Magnetization Reversal in Permanent Magnets. In: Proceedings of the 9th International Symposium Magnetic Anisotropy and Coercivity In Rare-Earth Transition Metal Alloys, World Scientific, Singapore, 59–68

    Google Scholar 

  16. Yang, B., Fredkin, D.R. (1998) Dynamical micromagnetics by the finite element method. IEEE Trans. Magn. 34, 3842–3852

    Article  Google Scholar 

  17. Cohen, S. D., and Hindmarsh, A. C. (1996) CVODE, A Stiff/Nonstiff ODE Solver in C. Computers in Physics, 10 138–143.

    Google Scholar 

  18. Saad, Y. (1996) Iterative methods for sparse linear systems, PWS Publishing Company, Boston

    MATH  Google Scholar 

  19. Kirk, K. J., Chapman, J. N., Wilkinson, C. D. W. (1997) Switching fields and magnetostatic interactions of thin film magnetic nanoelements. Appl. Phys. Lett. 71, 539–541

    Article  Google Scholar 

  20. Rave, W., Ramstock, K., Hubert, A. (1998) Corners and Nucleation in Micromagnetics. J. Magn. Magn. Mater. 183, 329–333

    Article  Google Scholar 

  21. Hertel, R., Kronmuller, H. (1998) Adaptive finite element mesh refinement techniques in three-dimensional micromagnetic modeling. IEEE Trans. Magn. 34, 3922–3930

    Article  Google Scholar 

  22. Schrefl T., Forster H. et al. (2001) Micromagnetic Simulation of Switching Events, In: Kramer, B. (Ed.) Advances in Solid State Physics 41. Springer, Berlin Heidelberg, 623–635

    Chapter  Google Scholar 

  23. Cowburn, R. P., Welland, M. E. (2000) Room temperature magnetic quantum cellular automata, Science 287, 1466–1468

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied and Technical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, A-1040, Vienna, Austria

    Thomas Schrefl, Dieter Suess, Werner Scholz, Hermann Forster, Vassilios Tsiantos & Josef Fidler

Authors
  1. Thomas Schrefl
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dieter Suess
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Werner Scholz
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hermann Forster
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Vassilios Tsiantos
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Josef Fidler
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19717, USA

    Peter Monk

  2. Institute for Applied Mathematics, Vienna University of Technology, Wiedner HauptstraĂźe 8-10, 1040, Vienna, Austria

    Carsten Carstensen

  3. Institute of Mathematics, University of Erlangen-NĂĽrnberg, BismarckstraĂźe 1 1/2, 91054, Erlangen, Germany

    Stefan Funken

  4. Max-Planck-Institute for Mathematics in the Sciences, InselstraĂźe 22, 04103, Liepzig, Germany

    Wolfgang Hackbusch

  5. Department of Mathematics, University of Augsburg, Universitätsstraße 14, 86159, Augsburg, Germany

    Ronald H. W. Hoppe

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Schrefl, T., Suess, D., Scholz, W., Forster, H., Tsiantos, V., Fidler, J. (2003). Finite Element Micromagnetics. In: Monk, P., Carstensen, C., Funken, S., Hackbusch, W., Hoppe, R.H.W. (eds) Computational Electromagnetics. Lecture Notes in Computational Science and Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55745-3_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-55745-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44392-6

  • Online ISBN: 978-3-642-55745-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation