Convergence rates in periodic homogenization of systems of elasticity

Zhongwei Shen; Jinping Zhuge

doi:10.1090/proc/13289

Convergence rates in periodic homogenization of systems of elasticity

Zhongwei Shen, Jinping Zhuge

Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

This paper is concerned with homogenization of systems of linear elasticity with rapidly oscillating periodic coefficients. We establish sharp convergence rates in L² for the mixed boundary value problems with bounded measurable coefficients.

Original language	English
Pages (from-to)	1187-1202
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	3
DOIs	https://doi.org/10.1090/proc/13289
State	Published - 2017

Bibliographical note

Funding Information:
Both authors were supported by NSF grant DMS-1161154.

Publisher Copyright:
© 2016 American Mathematical Society.

Keywords

Convergence rates
Homogenization
Systems of elasticity

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

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10.1090/proc/13289

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title = "Convergence rates in periodic homogenization of systems of elasticity",

abstract = "This paper is concerned with homogenization of systems of linear elasticity with rapidly oscillating periodic coefficients. We establish sharp convergence rates in L2 for the mixed boundary value problems with bounded measurable coefficients.",

keywords = "Convergence rates, Homogenization, Systems of elasticity",

author = "Zhongwei Shen and Jinping Zhuge",

note = "Funding Information: Both authors were supported by NSF grant DMS-1161154. Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2017",

doi = "10.1090/proc/13289",

language = "English",

volume = "145",

pages = "1187--1202",

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AU - Zhuge, Jinping

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KW - Systems of elasticity

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JF - Proceedings of the American Mathematical Society

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Convergence rates in periodic homogenization of systems of elasticity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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