Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure
Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure
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DOI：
10.1360/02ys9171
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发表时间：
2002-12
期刊：
影响因子：
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通讯作者：
Cao Li-qun;Junzhi Cui;Dechao Zhu;Jianlan Luo
中科院分区：
文献类型：
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作者：
Cao Li-qun;Junzhi Cui;Dechao Zhu;Jianlan Luo
本文讨论了具有快速振荡系数的二阶椭圆算子在可能含有周期为ε的周期分布小腔的区域中的谱性质和数值模拟。通过适当构造边界层，得到了该问题的多尺度渐近分析公式。最后给出了数值结果，为分析估计提供了有力的支持
This paper discusses the spectral properties and numerical simulation for the second order elliptic operators with rapidly oscillating coefficients in the domains which may contain small cavities distributed periodically with period ε. A multiscale asymptotic analysis formula for this problem is obtained by constructing properly the boundary layer. Finally, numerical results are given, which provide a strong support for the analytical estimates