Journal
NUMERISCHE MATHEMATIK
Volume 136, Issue 1, Pages 147-182Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00211-016-0836-8
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Funding
- TU Wien (TUW)
- Austrian Science Fund (FWF) [P27005, P29096]
- FWF doctoral school Dissipation and Dispersion in Nonlinear PDEs [W1245]
- Australian Research Council [DP160101755]
- Austrian Science Fund (FWF) [P 29096, P 27005] Funding Source: researchfish
- Austrian Science Fund (FWF) [P29096, P27005] Funding Source: Austrian Science Fund (FWF)
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In a recent work (Feischl et al. in Eng Anal Bound Elem 62:141-153, 2016), 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. Technical contributions include a novel mesh-size function which also monitors the knot multiplicity as well as inverse estimates for NURBS in fractional-order Sobolev norms.
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