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Error estimates in periodic homogenization with a non-homogeneous Dirichlet condition

Article type: Research Article

Authors: Griso, G.

Affiliations: Laboratoire J.-L. Lions – CNRS, Boîte courrier 187, Université Pierre et Marie Curie, 4 place Jussieu, 75005 Paris, France. E-mail: [email protected]

Abstract: In this paper we investigate the homogenization problem with a non-homogeneous Dirichlet condition. Our aim is to give error estimates with boundary data in H1/2(∂Ω). The tools used are those of the unfolding method in periodic homogenization.

Keywords: periodic homogenization, error estimate, non-homogeneous Dirichlet condition, periodic unfolding method

DOI: 10.3233/ASY-131200

Journal: Asymptotic Analysis, vol. 87, no. 1-2, pp. 91-121, 2014

Published: 2014
Price: EUR 27.50
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