IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-0-387-34221-4_8.html
   My bibliography  Save this book chapter

On the control of an evolutionary equilibrium in micromagnetics

In: Optimization with Multivalued Mappings

Author

Listed:
  • Michal Kočvara

    (Academy of Sciences of the Czech Republic)

  • Martin Kružík

    (Academy of Sciences of the Czech Republic
    Czech Technical University)

  • Jiří V. Outrata

    (Academy of Sciences of the Czech Republic)

Abstract

Summary Optimal control of magnetization in a ferromagnet is formulated as a mathematical program with evolutionary equilibrium constraints. To this purpose, we construct an evolutionary infinite-dimensional model which is discretized both in the space as well as in time variables. The evolutionary nature of this equilibrium is due to the hysteresis behavior of the respective magnetization process. To solve the problem numerically, we adapted the implicit programming technique. The adjoint equations, needed to compute subgradients of the composite objective, are derived using the generalized differential calculus of B. Mordukhovich. We solve two test examples and discuss numerical results.

Suggested Citation

  • Michal Kočvara & Martin Kružík & Jiří V. Outrata, 2006. "On the control of an evolutionary equilibrium in micromagnetics," Springer Optimization and Its Applications, in: Stephan Dempe & Vyacheslav Kalashnikov (ed.), Optimization with Multivalued Mappings, pages 143-168, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-34221-4_8
    DOI: 10.1007/0-387-34221-4_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:spochp:978-0-387-34221-4_8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.