• DocumentCode
    1226791
  • Title

    Flexible Approximation Schemes With Adaptive Grid Refinement

  • Author

    Dai, Jianhua ; Tsukerman, Igor

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Akron, Akron, OH
  • Volume
    44
  • Issue
    6
  • fYear
    2008
  • fDate
    6/1/2008 12:00:00 AM
  • Firstpage
    1206
  • Lastpage
    1209
  • Abstract
    The numerical accuracy of the recently developed flexible local approximation method (FLAME)-a generalized finite-difference technique-is improved by adaptive grid refinement. A natural error indicator in FLAME is the discrepancy between the numerical solution over two overlapping ldquopatchesrdquo (subdomains carrying local analytical approximations of the solution). Electrostatic problems and wave scattering by dielectric particles are used as examples of the substantial accuracy improvement.
  • Keywords
    electrostatics; finite difference methods; FLAME technique; adaptive grid refinement; dielectric particles; electrostatic problems; finite difference technique; flexible approximation schemes; flexible local approximation method; wave scattering; Adaptive grid refinement; difference schemes; electrostatics; error indicator; flexible approximation; multiparticle problems; wave scattering;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2007.916367
  • Filename
    4526836