Contributions to Books:

C. Erath, S. Funken, P. Goldenits, D. Praetorius:
"Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D";
in: "ASC Report 20/2009", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2009, ISBN: 978-3-902627-02-5.

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 2008]. All of these
aposteriori 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. In particular, this is very
much different to other aposteriori error estimators proposed in the
literature. As model example serves the hypersingular integral equation
associated with the 2D Laplacian, and numerical experiments underline the
mathematical results.

Electronic version of the publication:

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