Homogenization of a variational problem in three-dimension space

Cuiping Guo and Weiyu Liu

Applied Mathematics and Computation, 2014, vol. 232, issue C, 261-271

Abstract: In this paper, we investigate the variational problem for a sequence of 3-dimensional domains with highly oscillating boundaries. Using the unfolding method and the averaging method, we obtain the result of the homogenization problem, that is, a sequence of solutions of Eq. (3.1) converges to the solution of Eq. (3.4) as the periodic length approaches zero. It is noteworthy that the convergence is in the strong sense.

Keywords: Homogenization; Unfolding operator; Unfolding method (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:261-271

DOI: 10.1016/j.amc.2014.01.072

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