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arXiv · 1801.04869

FFT-based solution of 2D and 3D magnetization problems in type-II superconductivity

Leonid Prigozhin·Vladimir Sokolovsky
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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.

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Leonid Prigozhin, Vladimir Sokolovsky. 2018-01-15. FFT-based solution of 2D and 3D magnetization problems in type-II superconductivity. https://doi.org/10.1088/1361-6668/aab75d

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