Fast Fourier transform-based solution of 2D and 3D magnetization problems in type-II superconductivity

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18 Scopus citations

Abstract

We consider the fast Fourier transform (FFT) based numerical method for thin film magnetization problems (Vestgården and Johansen 2012 Supercond. Sci. Technol. 25 104001), compare it with the finite element methods, and evaluate its accuracy. Proposed modifications of this method implementation ensure stable convergence of iterations and enhance its efficiency. A new method, also based on the FFT, is developed for 3D bulk magnetization problems. This method is based on a magnetic field formulation, different from the popular h-formulation of eddy current problems typically employed with the edge finite elements. The method is simple, easy to implement, and can be used with a general current-voltage relation; its efficiency is illustrated by numerical simulations.

Original languageEnglish
Article number055018
JournalSuperconductor Science and Technology
Volume31
Issue number5
DOIs
StatePublished - 13 Apr 2018

Keywords

  • fast Fourier transform
  • magnetization problems
  • numerical modeling
  • type-II superconductors

ASJC Scopus subject areas

  • Ceramics and Composites
  • Condensed Matter Physics
  • Metals and Alloys
  • Electrical and Electronic Engineering
  • Materials Chemistry

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