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arXiv · 2303.15151

Wave propagation in high-contrast media: periodic and beyond

Élise Fressart·Barbara Verfürth
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Abstract

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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Élise Fressart, Barbara Verfürth. 2023-03-27. Wave propagation in high-contrast media: periodic and beyond. https://arxiv.org/abs/2303.15151

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