• DocumentCode
    1903778
  • Title

    Hierarchical and conforming Nédélec elements for surface and volumetric cells

  • Author

    Graglia, Roberto D. ; Peterson, Andrew F.

  • Author_Institution
    Dipt. di Elettron., Politec. di Torino, Torino, Italy
  • fYear
    2011
  • fDate
    13-20 Aug. 2011
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    New families of hierarchical curl and divergence-conforming vector bases for the most commonly used two- and three-dimensional cells are directly constructed from orthogonal scalar polynomials to enhance their linear independence, which is a simpler process than an orthogonalization applied to the final vector functions. These functions span the mixed-order (or reduced) spaces of Nédélec and can be used to deal with structures meshed by a mixture of cells of different geometry.
  • Keywords
    computational electromagnetics; polynomials; vectors; Nedelec elements; divergence-conforming vector; hierarchical curl; linear independence; mixed-order spaces; orthogonal scalar polynomials; reduced spaces; surface cells; three-dimensional cells; two-dimensional cells; vector functions; volumetric cells; Antennas; Electromagnetics; Face; Geometry; Polynomials; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    General Assembly and Scientific Symposium, 2011 XXXth URSI
  • Conference_Location
    Istanbul
  • Print_ISBN
    978-1-4244-5117-3
  • Type

    conf

  • DOI
    10.1109/URSIGASS.2011.6050256
  • Filename
    6050256