Publications in Scientific Journals:
C. Erath, S. Funken, P. Goldenits, D. Praetorius:
"Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D";
Applicable Analysis,
92
(2013),
6;
1194
- 1216.
English abstract:
A posteriori error estimation is an important tool for reliable and
efficient Galerkin boundary element computations. For hypersingular
integral equations in 2D with positive-order Sobolev space, we
analyze the mathematical relation between the (h− h/2)-error
estimator from [Ferraz-Leite, Praetorius 2008], the two-level error
estimator from [Maischak, Mund, Stephan 1997], and the averaging
error estimator from [Carstensen, Praetorius 2007]. All of these a
posteriori error estimators are simple in the following sense: First,
the numerical analysis can be done within the same mathematical
framework, namely localization techniques for the energy norm.
Second, there is almost no implementational overhead for the
realization.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1080/00036811.2012.661045
Created from the Publication Database of the Vienna University of Technology.