# The boundary behavior of a composite material

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

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topNeuss-Radu, Maria. "The boundary behavior of a composite material." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.3 (2001): 407-435. <http://eudml.org/doc/194056>.

@article{Neuss2001,

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 $\{\varepsilon \}$ in the energy norm.},

author = {Neuss-Radu, Maria},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {homogenization; generalized boundary layers; energy error estimates; elliptic problems with periodically oscillating coefficients; domains with curved boundaries; layered medium},

language = {eng},

number = {3},

pages = {407-435},

publisher = {EDP-Sciences},

title = {The boundary behavior of a composite material},

url = {http://eudml.org/doc/194056},

volume = {35},

year = {2001},

}

TY - JOUR

AU - Neuss-Radu, Maria

TI - The boundary behavior of a composite material

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2001

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 ${\varepsilon }$ in the energy norm.

LA - eng

KW - homogenization; generalized boundary layers; energy error estimates; elliptic problems with periodically oscillating coefficients; domains with curved boundaries; layered medium

UR - http://eudml.org/doc/194056

ER -

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