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Discovery Projects - Grant ID: DP160101755

Title
Discovery Projects - Grant ID: DP160101755
Funding
ARC | Discovery Projects
Contract (GA) number
DP160101755
Start Date
2016/01/01
End Date
2020/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP160101755

 

  • Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations

    Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk (2016)
    Projects: FWF | Optimal adaptivity for BEM and FEM-BEM coupling (P 27005), ARC | Discovery Projects - Grant ID: DP160101755 (DP160101755)
    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 functi...
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