The boundary behavior of a composite material

Maria Neuss-Radu

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 3, page 407-435
  • ISSN: 0764-583X

Abstract

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

How to cite

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Neuss-Radu, Maria. "The boundary behavior of a composite material." ESAIM: Mathematical Modelling and Numerical Analysis 35.3 (2010): 407-435. <http://eudml.org/doc/197587>.

@article{Neuss2010,
abstract = { In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order ε in the energy norm. },
author = {Neuss-Radu, Maria},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Homogenization; generalized boundary layers; energy error estimates.; homogenization; generalized boundary layers; energy error estimates; elliptic problems with periodically oscillating coefficients; domains with curved boundaries; layered medium},
language = {eng},
month = {3},
number = {3},
pages = {407-435},
publisher = {EDP Sciences},
title = {The boundary behavior of a composite material},
url = {http://eudml.org/doc/197587},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Neuss-Radu, Maria
TI - The boundary behavior of a composite material
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 3
SP - 407
EP - 435
AB - In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order ε in the energy norm.
LA - eng
KW - Homogenization; generalized boundary layers; energy error estimates.; homogenization; generalized boundary layers; energy error estimates; elliptic problems with periodically oscillating coefficients; domains with curved boundaries; layered medium
UR - http://eudml.org/doc/197587
ER -

References

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