Contributions to Books:
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";
in: "ASC Report 24/2013",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2013,
ISBN: 978-3-902627-06-3,
1
- 26.
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.
Keywords:
boundary element method, weakly-singular integral equation, a posteriori error estimate, adaptive algorithm, convergence, optimality
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2013/asc24x2013.pdf
Created from the Publication Database of the Vienna University of Technology.