# The boundary behavior of a composite material

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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 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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