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Publications in Scientific Journals:

W. Auzinger:
"A quantitative discrete H^2-regularity estimate for the Shortley-Weller scheme in convex domains";
Numerische Mathematik, 52 (1988), 523 - 537.

English abstract:
We investigate the discrete H^2-regularity properties of the Shortley-Weller discretization of Poisson's equation (with homogeneous Dirichlet boundary conditions) in bounded convex domains \Omega \in R^2. It is shown that the regularity constant is 1 independent of the mesh size h if the H^2-seminorm is defined in a way assigning less weight to the (unsymmetric) differences near the boundary.

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.