Publications in Scientific Journals:
M. Feischl, G. Gantner, A. Haberl, D. Praetorius:
"Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations";
Numerische Mathematik,
136
(2017),
147
- 182.
English abstract:
In a recent work [Eng. Anal. Bound. Elem., 62 (2016), 141-153], 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.
Keywords:
isogeometric analysis, boundary element method, IGABEM, adaptive algo- rithm, convergence, optimal convergence rates.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s00211-016-0836-8
Created from the Publication Database of the Vienna University of Technology.