Stabilized bordered block diagonal form for solving nonlinear magnetic field problems

Xiaoyu Liu, Weinong Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


This paper presents an adapted multilevel Newton-Raphson method based on a stabilized bordered block diagonal form of Jacobian matrix for solving the problems of nonlinear electromagnetic field. This algorithm can reduce the computing time with parallel computation. For analyzing large-scale engineering problems using numerical methods, parallel computation is an efficient approach. Graph partitioning algorithms in the numerical parallel computation have important theoretical significance and practical applications. The proposed method is based on a parallel algorithm, and is quite competent for solving large-scale nonlinear problems for possible reduced iteration steps, which has been demonstrated by the numerical experimental results.
Original languageEnglish
Article number8070332
JournalIEEE Transactions on Magnetics
Issue number3
Publication statusPublished - 1 Mar 2018


  • Multilevel Newton-Raphson (NR) method
  • nonlinear magnetic problem
  • parallel computation
  • stabilized bordered block diagonal form (SBBDF)

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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