• DocumentCode
    751855
  • Title

    Source Field Modeling by Mesh Incidence Matrices

  • Author

    Badics, Zsolt ; Cendes, Zoltan J.

  • Author_Institution
    Ansoft Corp., Pittsburgh, PA
  • Volume
    43
  • Issue
    4
  • fYear
    2007
  • fDate
    4/1/2007 12:00:00 AM
  • Firstpage
    1241
  • Lastpage
    1244
  • Abstract
    In this paper, an algorithm using mesh incidence matrices is developed for the fast generation of source magnetic fields. The mesh incidence matrices arise by applying cohomology concepts to the discrete form of the topological laws for source magnetic fields. The algorithm admits a unique and very fast integer Gaussian elimination procedure. The same algorithm is used to generate solenoidal current density in stranded conductors
  • Keywords
    Gaussian processes; conductors (electric); current density; magnetic fields; matrix algebra; solenoids; cohomology concepts; integer Gaussian elimination methods; mesh incidence matrices; solenoidal current density; source field modeling; source magnetic field generation; Conductors; Current density; Differential equations; Finite element methods; Geometry; Magnetic fields; Magnetostatics; Maxwell equations; Sparse matrices; Vectors; Current vector potential; finite-element methods; mesh incidence matrices; source magnetic field modeling; stranded conductors;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2006.890967
  • Filename
    4137669