Convergence of FFT‐based homogenization for strongly heterogeneous media
Convergence of FFT‐based homogenization for strongly heterogeneous media
复制标题
强异构介质基于 FFT 均质化的收敛
DOI：
10.1002/mma.3259
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发表时间：
2015
影响因子：
2.9
通讯作者：
M. Schneider
中科院分区：
文献类型：
--
作者：
M. Schneider
基于FFT的Moulinec-Suquet均匀化方法因其适用范围广、计算时间短而受到近年来的广泛关注。本文推导了Moulinec-Suquet均匀化方法的最优先验误差估计，该方法可以解释为谱搭配法。众所周知，对于足够光滑的系数，这种方法是收敛的。我们把这个结果推广到粗糙系数。更准确地说，我们证明了黎曼可积强制系数所涉及的域的收敛性，而不需要先验正则化。
The FFT‐based homogenization method of Moulinec–Suquet has recently attracted attention because of its wide range of applicability and short computational time. In this article, we deduce an optimal a priori error estimate for the homogenization method of Moulinec–Suquet, which can be interpreted as a spectral collocation method. Such methods are well‐known to converge for sufficiently smooth coefficients. We extend this result to rough coefficients. More precisely, we prove convergence of the fields involved for Riemann‐integrable coercive coefficients without the need for an a priori regularization.
影响因子：
4.4
作者：
Andrae, Heiko;Combaret, Nicolas;Zhan, Xin
通讯作者：
Zhan, Xin