Large-scale magnetic field analysis by the hybrid finite element-boundary element method combined with the fast multipole method

Yasuhito Takahashi, Shinji Wakao

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    1 Citation (Scopus)


    This paper describes a large-scale magnetic field analysis by means of the hybrid finite element-boundary element (FE-BE) method. The hybrid FE-BE method is well-suited for solving open electromagnetic field problems that comprise movement, nonlinear media, and eddy current. In general, however, large memory and computational costs are required due to the dense blocks in the system matrix generated by the BE part of the hybrid formulation. In order to overcome the above difficulties, we introduce the fast multipole method (FMM) to the hybrid FE-BE formulation developed by ourselves. Furthermore, we propose a novel preconditioning technique suitable for the hybrid FE-BE method with the FMM. Some numerical results that demonstrate the effectiveness of the proposed approach are also presented.

    Original languageEnglish
    Pages (from-to)73-80
    Number of pages8
    JournalElectrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)
    Issue number1
    Publication statusPublished - 2008 Jan 15



    • Eddy current
    • Fast multipole method
    • Hybrid finite element-boundary element method
    • Large-scale problems

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

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