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Error estimates similar to those for linear homogenization problems are obtained here.<\/jats:p>","DOI":"10.1137\/060654207","type":"journal-article","created":{"date-parts":[[2008,1,11]],"date-time":"2008-01-11T20:48:06Z","timestamp":1200084486000},"page":"260-279","source":"Crossref","is-referenced-by-count":16,"title":["Analysis of the Multiscale Finite Element Method for Nonlinear and Random Homogenization Problems"],"prefix":"10.1137","volume":"46","author":[{"given":"Zhangxin","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tatyana Y.","family":"Savchuk","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,1,11]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142902406636"},{"key":"R2","unstructured":"A. Benssousan, J. L. Lions, and G. 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