An efficient two-grid finite-element method of 3-D nonlinear magnetic-field computation

Ningning Chen, Siu Lau Ho, Weinong Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


A two-grid finite-element method to reduce the computing time of nonlinear magnetic problems is presented. It is shown that the initial solution of the nonlinear iteration on the fine grid can be derived from the solutions of the coarse grid, thereby saving the computation time for iterations on the fine grid. A numerical technique based on the nonlinear functional is proposed to reduce the complexity of the discretization of the nonlinear term. The interpolation method from coarse grid to fine grid is discussed in this paper. A method to optimize the relaxation factor of Newton-Raphson iteration is also reported. The proposed method is applied to TEAM Workshop problem 13, and the results obtained by using the proposed algorithm are compared with those by using conventional methods.
Original languageEnglish
Article number5257103
Pages (from-to)4797-4800
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number10
Publication statusPublished - 1 Oct 2009


  • Finite-element Method (FEM)
  • Magnetic field
  • Nonlinear
  • Two-grid method

ASJC Scopus subject areas

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


Dive into the research topics of 'An efficient two-grid finite-element method of 3-D nonlinear magnetic-field computation'. Together they form a unique fingerprint.

Cite this