3-D Transient Magneto-Thermal Field Analysis Using Adaptive Degrees-of-Freedom Finite-Element Method

Yunpeng Zhang, Xiaoyu Liu, Huihuan Wu, Siu Lau Ho, Weinong Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review


In this article, an adaptive degrees-of-freedom (DoFs) finite-element method (FEM) is proposed for the 3-D transient magneto-thermal field analysis. The indirect coupling between these two fields is implemented based on one set of mesh, and the DoFs of each field are adapted separately according to the different requirements of discretization. With the proposed method, the data transfer between fields is readily accomplished, and optimal FE spaces can be produced for both fields without using a second mesh. In this adaptive method, these DoFs with sufficiently small estimated errors are constrained by the surrounding active DoFs and removed from the FE space using the slave-master technique. This DoF elimination process has the same effect as mesh coarsening, while the subsequent operations after mesh coarsening and the interpolation errors from fine mesh to coarse mesh are avoided. The effectiveness of the proposed method is showcased through the comparison of conventional methods.

Original languageEnglish
Article number8957365
JournalIEEE Transactions on Magnetics
Issue number3
Publication statusPublished - Mar 2020


  • Adaptive method
  • constrained degrees of freedom (DoFs)
  • finite-element method (FEM)
  • magnetic field
  • thermal field

ASJC Scopus subject areas

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


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