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We consider the Fast Fourier Transform (FFT) based numerical method for thinfilm 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 convergenceof 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 amagnetic field formulation, different from the popular h-formulation of eddycurrent problems typically employed with the edge finite elements. The methodis simple, easy to implement, and can be used with a general current-voltagerelation; its efficiency is illustrated by numerical simulations.

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