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

Yasuhito Takahashi, Shinji Wakao

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    This paper describes large-scale magnetic field analysis by means of the hybrid finite element-boundary element (FE-BE) method. The FE-BE method is well-suited for solving open electromagnetic field problems that comprise movement, non-linear 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. To overcome the above difficulties, we introduce the fast multipole method (FMM) to the 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
    JournalIEEJ Transactions on Industry Applications
    Volume126
    Issue number3
    Publication statusPublished - 2006

    Fingerprint

    Boundary element method
    Magnetic fields
    Eddy currents
    Electromagnetic fields
    Data storage equipment
    Costs

    Keywords

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

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Industrial and Manufacturing Engineering

    Cite this

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    abstract = "This paper describes large-scale magnetic field analysis by means of the hybrid finite element-boundary element (FE-BE) method. The FE-BE method is well-suited for solving open electromagnetic field problems that comprise movement, non-linear 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. To overcome the above difficulties, we introduce the fast multipole method (FMM) to the 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.",
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    AB - This paper describes large-scale magnetic field analysis by means of the hybrid finite element-boundary element (FE-BE) method. The FE-BE method is well-suited for solving open electromagnetic field problems that comprise movement, non-linear 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. To overcome the above difficulties, we introduce the fast multipole method (FMM) to the 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.

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