Speed-up of nonlinear magnetic field analysis using a modified fixed-point method

Norio Takahashi, Kousuke Shimomura, Daisuke Miyagi, Hiroyuki Kaimori

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Purpose - The purpose of this paper is to propose the speed-up of the fixed-point method by updating the reluctivity at each iteration (this is called a modified fixed-point method). Design/methodology/approach - A modified fixed-point method, which updates the derivative of reluctivity at each iteration, is proposed. It is shown that the formulation of the fixed-point method using the derivative of reluctivity is almost the same as that of the Newton-Raphson method. The convergence characteristic of the newly proposed fixed-point method is compared with those of the Newton-Raphson method. Findings - The modified fixed-point method has an advantage that the programming is easy and it has a similar convergence property to the Newton-Raphson method for an isotropic nonlinear problem. Originality/value - This paper presents the formulation and convergence characteristic of the modified fixed-point method are almost the same as those of the Newton-Raphson method.

Original languageEnglish
Article number17095996
Pages (from-to)1749-1759
Number of pages11
JournalCOMPEL - The international journal for computation and mathematics in electrical and electronic engineering
Issue number5
Publication statusPublished - 2013


  • Finite element analysis
  • Finite element methods
  • Fixed-point method
  • Magnetic fields
  • Newton-Raphson method
  • Non-linear analysis

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics
  • Electrical and Electronic Engineering


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