• DocumentCode
    1412944
  • Title

    Scale Factors and Matrix Conditioning Associated With Triangular-Cell Hierarchical Vector Basis Functions

  • Author

    Peterson, Andrew F. ; Graglia, Roberto D.

  • Author_Institution
    Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    9
  • fYear
    2010
  • fDate
    7/2/1905 12:00:00 AM
  • Firstpage
    40
  • Lastpage
    43
  • Abstract
    Several families of hierarchical vector basis functions for triangular cells are reviewed, and the matrix condition numbers associated with their use are compared. Scale factors are introduced to optimize the linear independence of each set and are shown to provide substantial improvement for most families.
  • Keywords
    boundary-elements methods; electromagnetic field theory; finite element analysis; method of moments; boundary elements; electromagnetics; finite element methods; linear independence; matrix conditioning; moment methods; triangular-cell hierarchical vector basis functions; Basis functions; boundary elements; finite element methods; moment methods;
  • fLanguage
    English
  • Journal_Title
    Antennas and Wireless Propagation Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1536-1225
  • Type

    jour

  • DOI
    10.1109/LAWP.2010.2042423
  • Filename
    5409570
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1412944