Displaying similar documents to “Curved elements in the finite element method”

The boundary behavior of a composite material

Maria Neuss-Radu (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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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.