Publications in Scientific Journals:

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius:
"Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, Part I: Weakly-singular integral equation";
Calcolo, 51 (2014), 4; 531 - 562.

English abstract:
We analyze an adaptive boundary element method for Symm´s integral equation in 2D and 3D which incorporates the approximation of the Dirichlet data g into the adaptive scheme. We prove quasi-optimal convergence rates for any H^1/2-stable projection used for data approximation.

boundary element method, weakly-singular integral equation, a posteriori error estimate, adaptive algorithm, convergence, optimality

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

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