Adaptive local multigrid methods for solving time-harmonic eddy-current problems

Oliver Sterz*, Andreas Hauser, Gabriel Wittum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


The efficient computation of large eddy-current problems with finite elements requires adaptive methods and fast optimal iterative solvers such as multigrid methods. This paper provides an overview of the most important implementation aspects of an adaptive multi-grid scheme for time-harmonic eddy currents. Numerical experiments show that the standard multigrid scheme can be modified to yield an O(N) complexity even for general adaptive refinement strategies, where the number of unknowns N can grow slowly from one to the next refinement level. Algorithmic details and numerical examples are given.

Original languageEnglish (US)
Pages (from-to)309-318
Number of pages10
JournalIEEE Transactions on Magnetics
Issue number2
StatePublished - Feb 2006
Externally publishedYes


  • Adaptive mesh-refinement
  • Eddy currents
  • Edge elements
  • Finite-element methods
  • Frequency domain
  • Local multigrid methods
  • Red-green refinement

ASJC Scopus subject areas

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


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