[Zurück]


Zeitschriftenartikel:

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



Kurzfassung englisch:
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.


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/BF01400890


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.