FFT-based solution of 2D and 3D magnetization problems in type-II superconductivity
Abstract
We consider the Fast Fourier Transform (FFT) based numerical method for thin film magnetization problems [Vestg{\aa}rden and Johansen, SuST, 25 (2012) 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.
Cite
@article{arxiv.1801.04869,
title = {FFT-based solution of 2D and 3D magnetization problems in type-II superconductivity},
author = {Leonid Prigozhin and Vladimir Sokolovsky},
journal= {arXiv preprint arXiv:1801.04869},
year = {2018}
}
Comments
16 pages