• DocumentCode
    1414761
  • Title

    Curl-Conforming Hierarchical Vector Bases for Triangles and Tetrahedra

  • Author

    Graglia, Roberto D. ; Peterson, Andrew F. ; Andriulli, Francesco P.

  • Author_Institution
    Dipt. di Elettron., Politec. di Torino, Torino, Italy
  • Volume
    59
  • Issue
    3
  • fYear
    2011
  • fDate
    3/1/2011 12:00:00 AM
  • Firstpage
    950
  • Lastpage
    959
  • Abstract
    A new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions span the curl-conforming reduced-gradient spaces of Nédélec. The bases are constructed from orthogonal scalar polynomials to enhance their linear independence, which is a simpler process than an orthogonalization applied to the final vector functions. Specific functions are tabulated to order 6.5. Preliminary results confirm that the new bases produce reasonably well-conditioned matrices.
  • Keywords
    Helmholtz equations; function approximation; polynomials; vectors; curl-conforming; hierarchical vector bases; linear independence; orthogonal scalar polynomials; triangles and tetrahedra; Basis functions; finite element methods; hierarchical basis functions; method of moments;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/TAP.2010.2103012
  • Filename
    5677430
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1414761