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中文摘要：
本文讨论了周期结构复合材料特征值的多尺度计算，提出了高阶多尺度Rayleigh商校正算法，并给出了收敛性分析．最后，通过大量数值实验结果表明，新算法是有效且必要的．
英文摘要：
In this paper, we discuss the multiscale computation for the eigenvalue problem in composite materials with a periodic microstructure. We present the higher-order multiscale Rayleigh quotient correction method and derive the convergence result. Finally, the numerical experiments show that the method presented in this paper is effective and essential.
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