• DocumentCode
    1273744
  • Title

    Generating Whitney forms of polynomial degree one and higher

  • Author

    Bossavit, Alain

  • Author_Institution
    Electricite de France, Clamart, France
  • Volume
    38
  • Issue
    2
  • fYear
    2002
  • fDate
    3/1/2002 12:00:00 AM
  • Firstpage
    341
  • Lastpage
    344
  • Abstract
    A rationale for Whitney forms is proposed; they are seen as a device to approximate manifolds, with approximation of differential forms as a byproduct. A recursive generating formula is derived. A natural way to build higher-degree forms then follows
  • Keywords
    convergence of numerical methods; electromagnetic field theory; mesh generation; polynomial approximation; Whitney form generation; Whitney forms; convergence; differential forms approximation; edge elements; electromagnetism; manifold approximation; polynomial degree Whitney forms; recursive generating formula; Error analysis; Geometry; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.996092
  • Filename
    996092
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1273744