Some modifications of the classic five point finite-difference scheme for the mixed problem for the Laplace equation
D. Radunović (1984)
Matematički Vesnik
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Displaying similar documents to “Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation”
Some modifications of the classic five point finite-difference scheme for the mixed problem for the Laplace equation
Finite element methods for elliptic mixed boundary value problems containing singularities
Whiteman, J. R., Barnhill, R. E.
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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.