Fast Fourier Transform Methods for computing the moduli and fields in composites
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By considering the model two-dimensional example of a conducting composite comprised of a square array of squares occupying a volume fraction of 1/4, which Obnosov solved exactly, we gain insight into the number of Fast Fourier Transform iterations beyond which there is there is little improvement in the results. Also we see how the spectrum influences the rate of convergence of different methods. This leads us to a new method that uses information about the spectrum and has superior convergence.
