Talks and Poster Presentations (without Proceedings-Entry):

M. Feischl, G. Gantner, A. Haberl, D. Praetorius:
"A posteriori error estimation for adaptive IGA boundary element methods";
Talk: 3rd International Conference on Isogeometric Analysis, Trondheim; 2015-06-01 - 2015-06-03.

English abstract:
A posteriori error estimation and adaptive mesh-refinement are well-established and important tools for standard boundary element methods (BEM) for polygonal boundaries and piecewise polynomial ansatz functions.
However, the mathematically reliable a posteriori error analysis for isogeometric BEM (IGABEM) is still in its infancy.
In our talk, we discuss recent results on reliable a posteriori error estimators and on convergence of corresponding adaptive IGABEM algorithms.
As model example we consider the weakly-singular integral equation for the Laplacian.
We consider numerically computable error estimators providing at least upper bounds for the (in general, non-computable and unknown) error in the H^{−1/2} norm.
The estimators can be used to monitor the error decay if the mesh is refined.
Moreover, their local con- tributions can be used for adaptive IGABEM computations to steer adaptive algorithms which automatically detect singularities of the solution and adapts the mesh accordingly.
If compared to uniform mesh refinement, this dramatically reduces the storage requirements as well as the computing time needed to achieve a certain prescribed accuracy.

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