IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-88-470-2089-4_77.html

Mortar element coupling between global scalar and local vector potentials to solve eddy current problems

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Y. Maday

    (CNRS & Paris 6 University, Laboratoire J.-L. Lions)

  • F. Rapetti

    (UMR CNRS, Laboratoire J. A. Dieudonné)

  • B. I. Wohlmuth

    (Universität Stuttgart, Mathematisches Institut A)

Abstract

Summary The T — Ω formulation of the magnetic field has been introduced in many papers for the approximation of the magnetic quantities modeled by the eddy current equations. This decomposition allows us to use a scalar function in the main part of the computational domain, reducing the use of vector quantities in the conducting parts. We propose here to approximate these two quantities on different and non-matching grids so as. e.g., to tackle a problem where the conducting part can move in the global domain. The connection between the two grids is managed with mortar element tools. The numerical analysis is presented, resulting in error bounds for the solution.

Suggested Citation

  • Y. Maday & F. Rapetti & B. I. Wohlmuth, 2003. "Mortar element coupling between global scalar and local vector potentials to solve eddy current problems," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 847-865, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_77
    DOI: 10.1007/978-88-470-2089-4_77
    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
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:sprchp:978-88-470-2089-4_77. 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.