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)
http://dx.doi.org/10.1007/BF01400890
Created from the Publication Database of the Vienna University of Technology.