Some modifications of the classic five point finite-difference scheme for the mixed problem for the Laplace equation
D. Radunović (1984)
Matematički Vesnik
Similarity:
D. Radunović (1984)
Matematički Vesnik
Similarity:
Whiteman, J. R., Barnhill, R. E.
Similarity:
Maria Neuss-Radu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
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.
Zlámal, Miloš
Similarity:
Dagmar Medková (2008)
Applicationes Mathematicae
Similarity:
The Dirichlet problem for the Laplace equation for a planar domain with piecewise-smooth boundary is studied using the indirect integral equation method. The domain is bounded or unbounded. It is not supposed that the boundary is connected. The boundary conditions are continuous or p-integrable functions. It is proved that a solution of the corresponding integral equation can be obtained using the successive approximation method.
J. B. Díaz, R. B. Ram (1979)
Collectanea Mathematica
Similarity: