Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties

By H. Moulinec, Pierre Suquet. 2003

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Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients (2010, methodology): “As clearly demonstrated in a numerical study by Moulinec and Suquet [6], both methods converge considerably faster than the original variant; the number of iterations is proportional to the square root of the phase contrast instead of the linear increase for the basic scheme.”
Elastic behavior of composites containing Boolean random sets of inhomogeneities (2009, background): “Attention must be paid to the highest frequencies (e.g. q = ±(L/2 + 1), where L is the number of voxels along each direction, see Moulinec, Suquet (23)), at which point the Green function lacks its usual symmetry (i.e.”