• DocumentCode
    27472
  • Title

    Preconditioning of Periodic Fast Multipole Method for Solving Volume Integral Equations

  • Author

    Misawa, Ryota ; Nishimura, Nozomi ; Mei Song Tong

  • Author_Institution
    Dept. of Appl. Anal. & Complex Dynamical Syst., Kyoto Univ., Kyoto, Japan
  • Volume
    62
  • Issue
    9
  • fYear
    2014
  • fDate
    Sept. 2014
  • Firstpage
    4799
  • Lastpage
    4804
  • Abstract
    Application of FMM to the volume integral equations for periodic boundary value problem for Maxwell´s equations is investigated. We propose effective preconditioners for the discretized volume integral equations. We confirm the accuracy and high performances of the proposed method in several numerical examples including periodic problems near Wood´s anomalies.
  • Keywords
    Maxwell equations; boundary integral equations; boundary-value problems; FMM; Maxwell equations; Wood anomalies; discretized volume integral equations; periodic boundary value problem; periodic fast multipole method; periodic problems; Acceleration; Boundary value problems; Equations; Green´s function methods; Integral equations; Lattices; Time-frequency analysis; Fast multipole methods; integral equations; periodic structures; preconditioner;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/TAP.2014.2327652
  • Filename
    6823635