高对比度介质中的波传播：周期性和超越
Wave propagation in high-contrast media: periodic and beyond
摘要：
本文研究了空间导数算子中具有高对比系数的经典波动方程。我们首先处理周期性的情况下，我们在一维的情况下得到一个新的限制。的行为进行了数值说明，并与高维的情况下。对于一般的非结构化高对比度系数，我们提出了局部正交分解，并显示了适当加权范数的先验误差估计。数值实验说明了在各种设置的收敛速度。
英文摘要：
This work is concerned with the classical wave equation with a high-contrast coefficient in the spatial derivative operator. We first treat the periodic case, where we derive a new limit in the one-dimensional case. The behavior is illustrated numerically and contrasted to the higher-dimensional case. For general unstructured high-contrast coefficients, we present the Localized Orthogonal Decomposition and show a priori error estimates in suitably weighted norms. Numerical experiments illustrate the convergence rates in various settings.
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