• DocumentCode
    1227688
  • Title

    Point Collocation Mesh-Free Method Using FMLSRKM for Solving Axisymmetric Laplace Equation

  • Author

    Lee, Chany ; Kim, Do Wan ; Park, Sang-Hun ; Kim, Hong-Kyu ; Im, Chang-Hwan ; Jung, Hyun-Kyo

  • Author_Institution
    Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., Seoul
  • Volume
    44
  • Issue
    6
  • fYear
    2008
  • fDate
    6/1/2008 12:00:00 AM
  • Firstpage
    1234
  • Lastpage
    1237
  • Abstract
    In this paper, the fast moving least square reproducing kernel method (FMLSRKM) for solving the axisymmetric Laplace problem is proposed. To maximize the advantages of FMLSRKM, a point collocation scheme is used. The accuracy of the proposed method is verified by applying it to a test electrostatic model with analytic solution, and the electric potential distribution in the arc region of a gas circuit breaker is also analyzed as a practical application.
  • Keywords
    Laplace equations; electric potential; gas blast circuit breakers; least squares approximations; FMLSRKM; arc region; axisymmetric Laplace equation; electric potential distribution; electrostatic model; fast moving least square reproducing kernel method; gas circuit breaker; mesh-free method; point collocation; Axisymmetric; fast moving least square reproducing kernel method (FMLSRKM); gas circuit breaker; mesh-free;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2007.914859
  • Filename
    4526930