Contributions to Books:

M. Feischl, G. Gantner, A. Haberl, D. Praetorius:
"Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations";
in: "ASC Report 16/2015", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2015, ISBN: 978-3-902627-08-7, 1 - 26.

English abstract:
In a recent work [FGHP15], we analyzed a weighted-residual error estimator for isogeometric boundary element methods in 2D and proposed an adaptive algorithm which steers the local mesh-refinement of the underlying partition as well as
the multiplicity of the knots. In the present work, we give a mathematical proof that this algorithm leads to convergence even with optimal algebraic rates.

isogeometric analysis, boundary element method, IGABEM, adaptive algo- rithm, convergence, optimal convergence rates.

Electronic version of the publication:

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