Talks and Poster Presentations (without Proceedings-Entry):
D. Praetorius, M. Ruggeri, E. Stephan:
"The saturation assumption yields optimal convergence of two-level adaptive BEM";
Talk: 17th workshop on Fast boundary element methods in industrial applications,
We consider the convergence of adaptive BEM for weakly-singular and hypersingular integral equations associated with the Laplacian and the Helmholtz operator in 2D and 3D. The local mesh-refinement is driven by some two-level error estimator. We show that the adaptive algorithm drives the underlying error estimates to zero. Moreover, we prove that the saturation assumption implies linear convergence of the error with optimal algebraic rates.
Created from the Publication Database of the Vienna University of Technology.