A novel adaptive mesh finite element method for nonlinear magnetic field analysis

Yanpu Zhao, Siu Lau Ho, Weinong Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

14 Citations (Scopus)


A novel adaptive finite element method for the numerical simulation of magnetic fields with nonlinear materials is presented. The proposed method incorporates functions of both mesh refinement and mesh coarsening. Instead of explicitly eliminating unnecessary nodes in the mesh, the proposed mesh coarsening algorithm only needs a single mesh. The procedure is to apply constraints to those degrees of freedom with small estimated error. This process avoids solution interpolation errors due to changes from a fine mesh to a coarse mesh and can be implemented readily. The slave-master technique is adopted to eliminate the constrained degrees of freedom in the linear system, which has the same effect as mesh coarsening. Implementation details of the algorithm are presented and numerical examples are tested to showcase the effectiveness of the proposed method.
Original languageEnglish
Article number6514514
Pages (from-to)1777-1780
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number5
Publication statusPublished - 22 May 2013


  • Adaptive mesh
  • constrained degree of freedom
  • finite element
  • magnetic field
  • mesh coarsening

ASJC Scopus subject areas

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


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