{ "id": "1512.00823", "version": "v1", "published": "2015-12-02T19:55:33.000Z", "updated": "2015-12-02T19:55:33.000Z", "title": "Convergence Rates in Periodic Homogenization of Systems of Elasticity", "authors": [ "Zhongwei Shen", "Jinping Zhuge" ], "categories": [ "math.AP" ], "abstract": "This paper is concerned with homogenization of systems of linear elasticity with rapidly oscillating periodic coefficients. We establish sharp convergence rates in $L^2$ for the mixed boundary value problems with bounded measurable coefficients.", "revisions": [ { "version": "v1", "updated": "2015-12-02T19:55:33.000Z" } ], "analyses": { "keywords": [ "periodic homogenization", "establish sharp convergence rates", "mixed boundary value problems", "linear elasticity", "rapidly oscillating periodic coefficients" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151200823S" } } }