Contributions to Books:

M. Feischl, M. Karkulik, J. Melenk, D. Praetorius:
"Quasi-optimal convergence rate for an adaptive boundary element method";
in: "ASC Report 28/2011", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9.

English abstract:
For the simple layer potential V
that is associated with the 3D Laplacian, we consider the weakly
singular integral equation V\phi=f.
This equation is discretized by the lowest order Galerkin boundary
element method.
We prove convergence of an h-adaptive algorithm that is driven by a
weighted residual error estimator. Moreover, we identify the
approximation class for which the adaptive algorithm converges
quasi-optimally with respect to the number of elements. In particular,
we prove that adaptive mesh refinement is superior to uniform mesh

Electronic version of the publication:

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