Partial homogenization of discrete models

Authors: Etoughe, M. Betoue¹; Panasenko, G.¹

Source: Applicable Analysis, Volume 87, Number 12, December 2008 , pp. 1425-1442(18)

Abstract:

This article is devoted to the approximation of discrete models by semi-discrete (and semi-continuous) models. The partial homogenization method is applied to this end. The interface conditions between the discrete part and the continuous part are discussed. The error estimates for the solutions of discrete and semi-discrete models are proved.

Keywords: semi-discrete models; partial asymptotic domain decomposition; strongly oscillating coefficients; finite element method; quasicontinuum method

Document Type: Research article

DOI: 10.1080/00036810802378638

Affiliations: 1: LaMUSE EA 3989, University Jean Monnet, Saint Etienne, France

Links for this article

http://www.ingentaconnect.com/tandf/gapa/2008/00000087/00000012/art00010
http://openurl.ingenta.com/content?genre=article&issn=0003-6811&volume=87&issue=12&spage=1425&epage=1442
http://dx.doi.org/10.1080/00036810802378638