An adaptive mesh method in transient finite element analysis of magnetic field using a novel error estimator

Yanpu Zhao, Xiu Zhang, Siu Lau Ho, Weinong Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

9 Citations (Scopus)


A novel error estimator for adaptive mesh refinement in finite element analysis (FEA) of magnetic field using quadratic finite elements is presented. The method uses a novel heuristic a posteriori error estimator, which is easy to compute and simple to implement, as an indicator of the numerical errors of the computed solution. The proposed error estimator is the L2norm of the difference between the computed quadratic finite element solution and the interpolated linear solution. Throughout the time-stepping process for problems excited by periodic sinusoidal excitations, this error estimator can also be used to efficiently compute the numerical error at each time step and guide the adaptive mesh refinement in transient FEA. A multi-time-step adaptive mesh refinement method is also proposed in this paper for transient problems. The proposed method does not need to interpolate the solution from old mesh to a new adaptively refined mesh in transient FEA and hence there is no interpolation error. The effectiveness of the proposed error estimator is illustrated through several numerical examples being reported in this paper.
Original languageEnglish
Article number6332699
Pages (from-to)4160-4163
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number11
Publication statusPublished - 29 Oct 2012


  • a posteriori error estimator
  • Adaptive mesh refinement
  • finite element method (FEM)
  • magnetic field
  • numerical method

ASJC Scopus subject areas

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


Dive into the research topics of 'An adaptive mesh method in transient finite element analysis of magnetic field using a novel error estimator'. Together they form a unique fingerprint.

Cite this