76 citations · 315 across the 31 of their papers we have counts for
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Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods
Thomas Führer, Gregor Gantner, Dirk Praetorius +1
We define and analyze (local) multilevel diagonal preconditioners for isogeometric boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly-singular…
Optimal quasi-diagonal preconditioners for pseudodifferential operators of order minus two
Thomas Führer, Norbert Heuer
We present quasi-diagonal preconditioners for piecewise polynomial discretizations of pseudodifferential operators of order minus two in any space dimension. Here, quasi-diagonal m…
Adaptive BEM with inexact PCG solver yields almost optimal computational costs
Thomas Führer, Alexander Haberl, Dirk Praetorius +1
We consider the preconditioned conjugate gradient method (PCG) with optimal preconditioner in the frame of the boundary element method (BEM) for elliptic first-kind integral equati…
Fully discrete DPG methods for the Kirchhoff-Love plate bending model
Thomas Führer, Norbert Heuer
We extend the analysis and discretization of the Kirchhoff-Love plate bending problem from [T. Führer, N. Heuer, A.H. Niemi, An ultraweak formulation of the Kirchhoff-Love plate be…
An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation
Thomas Führer, Norbert Heuer, Antti H. Niemi
We develop and analyze an ultraweak variational formulation for a variant of the Kirchhoff-Love plate bending model. Based on this formulation, we introduce a discretization of the…
New a priori analysis of first-order system least-squares finite element methods for parabolic problems
Thomas Führer, Michael Karkulik
We provide new insights into the a priori theory for a time-stepping scheme based on least-squares finite element methods for parabolic first-order systems. The elliptic part of th…
First-Order Least-Squares Method for the Obstacle Problem
Thomas Führer
We define and analyse a least-squares finite element method for a first-order reformulation of the obstacle problem. Moreover, we derive variational inequalities that are based on…