Publications in Scientific Journals:

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius:
"Local inverse estimates for non-local boundary integral operators";
Mathematics of Computation, 86 (2017), 2651 - 2686.

English abstract:
We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded Lipschitz domain $\Omega$ in $\bf R^d$ for $d ≥ 2$ with piecewise smooth boundary. For piecewise polynomial ansatz spaces and $d \in \{2,3\}$, the inverse estimates are explicit in both the local mesh width and the approximation order. An application to effciency estimates in a posteriori error estimation in boundary element methods is given.

boundary element method; inverse estimates; hp-finite element spaces.

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

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