50 citations · 247 across the 11 of their papers we have counts for
12 papers
Detection of weak signals under arbitrary noise distributions
J. Zschetzsche, M. Weimar, O. Lang +7
Detecting weak signals buried in complex, non-Gaussian noise is a fundamental challenge in science and engineering, with applications ranging from radar systems and communications…
ReFlow6D: Refraction-Guided Transparent Object 6D Pose Estimation via Intermediate Representation Learning
Hrishikesh Gupta, Stefan Thalhammer, Jean-Baptiste Weibel +2
Transparent objects are ubiquitous in daily life, making their perception and robotics manipulation important. However, they present a major challenge due to their distinct refract…
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver
Alexander Haberl, Dirk Praetorius, Stefan Schimanko +1
We consider a second-order elliptic boundary value problem with strongly monotone and Lipschitz-continuous nonlinearity. We design and study its adaptive numerical approximation in…
Rate optimality of adaptive finite element methods with respect to the overall computational costs
Gregor Gantner, Alexander Haberl, Dirk Praetorius +1
We consider adaptive finite element methods for second-order elliptic PDEs, where the arising discrete systems are not solved exactly. For contractive iterative solvers, we formula…
Trace operators of the bi-Laplacian and applications
Thomas Führer, Alexander Haberl, Norbert Heuer
We study several trace operators and spaces that are related to the bi-Laplacian. They are motivated by the development of ultraweak formulations for the bi-Laplace equation with h…
Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra
Timo Betcke, Alexander Haberl, Dirk Praetorius
The accurate computation of the electrostatic capacity of three dimensional objects is a fascinating benchmark problem with a long and rich history. In particular, the capacity of…
Adaptive BEM with optimal convergence rates for the Helmholtz equation
Alex Bespalov, Timo Betcke, Alexander Haberl +1
We analyze an adaptive boundary element method for the weakly-singular and hypersingular integral equations for the 2D and 3D Helmholtz problem. The proposed adaptive algorithm is…
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…
Rate optimal adaptive FEM with inexact solver for nonlinear operators
Gregor Gantner, Alexander Haberl, Dirk Praetorius +1
We prove convergence with optimal algebraic rates for an adaptive finite element method for nonlinear equations with strongly monotone operator. Unlike prior works, our analysis al…
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems
Alex Bespalov, Alexander Haberl, Dirk Praetorius
We prove that for compactly perturbed elliptic problems, where the corresponding bilinear form satisfies a Garding inequality, adaptive mesh-refinement is capable of overcoming the…
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 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…