Magnetostatic analysis by BEM with magnetic double layer as unknown utilizing volume magnetic charge

Kazuhisa Ishibashi*, Zoran Andjelic, Yasuhito Takahashi, Tomoaki Takamatsu, Kenta Tsuzaki, Shinji Wakao, Koji Fujiwara, Yoshiyuki Ishihara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The volume integral equation approach replaces magnetic materials with the magnetization in magnetostatic analysis. The concept of magnetic shell relates the magnetization with loop currents. The loop current is equivalent to the magnetic double layer, which gives an integral form of the scalar potential. The nonlinear magnetic field is formulated by regarding the nonlinear magnetization as volume magnetic charges. This paper presents how to utilize the volume charge to solve nonlinear problems. In the case of constant volume element we replace the volume charges with the surface loop currents to derive the nonlinear boundary integral equations having the line and surface loop currents as unknowns. The boundary integral equation is solved iteratively while improving alternately the loop and surface currents.

Original languageEnglish
Pages (from-to)711-717
Number of pages7
JournalInternational Journal of Applied Electromagnetics and Mechanics
Issue number1-4
Publication statusPublished - 2012 Oct 9


  • Boundary integral equation
  • loop currents
  • magnetic charges
  • magnetic double layer
  • nonlinear magnetostatic analysis

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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