• DocumentCode
    778027
  • Title

    Discrete constitutive equations in A-χ geometric eddy-current formulation

  • Author

    Specogna, Ruben ; Trevisan, Francesco

  • Author_Institution
    Dipt. di Ingegneria Elettrica, Udine Univ., Italy
  • Volume
    41
  • Issue
    4
  • fYear
    2005
  • fDate
    4/1/2005 12:00:00 AM
  • Firstpage
    1259
  • Lastpage
    1263
  • Abstract
    Using a geometric formulation for eddy currents, we present a geometric approach to constructing approximations of the discrete magnetic and Ohm´s constitutive matrices. In the case of Ohm´s matrix, we also show how to make it symmetric. We compared the impact on the solution of the proposed Ohm´s matrices, and an iterative technique to obtain a consistent right-hand-side term in the final system is described.
  • Keywords
    eddy currents; iterative methods; matrix algebra; Ohm constitutive matrices; cell complexes; cell method; discrete constitutive equations; discrete magnetic matrices; eddy currents; geometric formulation; iterative technique; Benchmark testing; Conductors; Convergence of numerical methods; Differential algebraic equations; Eddy currents; Finite element methods; Geometry; Helium; Nondestructive testing; Symmetric matrices; Cell complexes; cell method; constitutive matrices; eddy currents;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2005.844841
  • Filename
    1420681