76 citations · 469 across the 30 of their papers we have counts for
4 papers · 1 filter
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
Michael Feischl, Gregor Gantner, Alexander Haberl +1
In a recent work, we analyzed a weighted-residual error estimator for isogeometric boundary element methods in 2D and proposed an adaptive algorithm which steers the local mesh-ref…
An abstract analysis of optimal goal-oriented adaptivity
Michael Feischl, Dirk Praetorius, Kristoffer G. van der Zee
We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of [Carstensen et al., Comput. Math. App…
Adaptive 2D IGA boundary element methods
Michael Feischl, Gregor Gantner, Alexander Haberl +1
We derive and discuss a posteriori error estimators for Galerkin and collocation IGA boundary element methods for weakly-singular integral equations of the first-kind in 2D. While…
Local inverse estimates for non-local boundary integral operators
Markus Aurada, Michael Feischl, Thomas Führer +3
We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded d-dimensional Lipschitz domain Omega for…