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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.<\/jats:p>","DOI":"10.1515\/cmam-2023-0066","type":"journal-article","created":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T10:51:26Z","timestamp":1704106286000},"page":"345-362","source":"Crossref","is-referenced-by-count":2,"title":["Wave Propagation in High-Contrast Media: Periodic and Beyond"],"prefix":"10.1515","volume":"24","author":[{"given":"\u00c9lise","family":"Fressart","sequence":"first","affiliation":[{"name":"\u00c9cole Nationale des Ponts et Chauss\u00e9es (ENPC) , 6 et 8 Avenue Blaise Pascal, 77455 Marne-la-Vall\u00e9e cedex 2 , France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8286-4501","authenticated-orcid":false,"given":"Barbara","family":"Verf\u00fcrth","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Numerische Simulation , Universit\u00e4t Bonn , Friedrich-Hirzebruch-Allee 7, 53115 Bonn , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2024,1,2]]},"reference":[{"key":"2025062712372277833_j_cmam-2023-0066_ref_001","doi-asserted-by":"crossref","unstructured":"A.  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