76 citations · 1.5k across the 82 of their papers we have counts for
6 papers · 2 filters
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…
Adaptive vertex-centered finite volume methods with convergence rates
Christoph Erath, Dirk Praetorius
We consider the vertex-centered finite volume method with first-order conforming ansatz functions. The adaptive mesh-refinement is driven by the local contributions of the weighted…
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…
Existence of -matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
We consider discretizations of the hyper-singular integral operator on closed surfaces and show that the inverses of the corresponding system matrices can be approximated by blockw…