Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients

Details Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients

2010-04-07

arxiv.org/abs/1004.1122v2

Journal of Computational Physics, 29(21), 8065-8071, 2010

Physics

Computational Physics

13 pages, 4 figures

Scientific paper

10.1016/j.jcp.2010.07.010

In this short note, we present a new technique to accelerate the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet in 1994. The approach proceeds from discretization of the governing integral equation by the trigonometric collocation method due to Vainikko (2000), to give a linear system which can be efficiently solved by conjugate gradient methods. Computational experiments confirm robustness of the algorithm with respect to its internal parameters and demonstrate significant increase of the convergence rate for problems with high-contrast coefficients at a low overhead per iteration.

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