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The boundary behavior of a composite material

Published online by Cambridge University Press:  15 April 2002

Maria Neuss-Radu
Maria Neuss-Radu*
Affiliation:
Institut für Angewandte Mathematik, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany. (Maria.Neuss-Radu@iwr.uni-heidelberg.de)
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Abstract

In this paper, we study how solutions to elliptic problems withperiodically oscillating coefficients behave inthe neighborhood of the boundary of a domain. We extend theresults known for flat boundaries to domains with curved boundariesin the case of a layered medium. This is done by generalizing thenotion of boundary layer and by defining boundary correctors whichlead to an approximation of order ε in the energy norm.

Keywords

Homogenizationgeneralized boundary layersenergy error estimates.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 3 , May 2001 , pp. 407 - 435
Copyright
© EDP Sciences, SMAI, 2001

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