76 citations · 1.5k across the 82 of their papers we have counts for
6 papers · 1 filter
Optimal additive Schwarz methods for the -BEM: the hypersingular integral operator in 3D on locally refined meshes
Thomas Führer, Jens Markus Melenk, Dirk Praetorius +1
We propose and analyze an overlapping Schwarz preconditioner for the and boundary element method for the hypersingular integral equation in 3D. We consider surface triangu…
A three-dimensional spin-diffusion model for micromagnetics
Claas Abert, Michele Ruggeri, Florian Bruckner +4
We implement a finite-element scheme that solves the Landau-Lifshitz-Gilbert equation coupled to a diffusion equation accounting for spin-polarized currents. The latter solves for…
Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations
Michael Feischl, Gregor Gantner, Dirk Praetorius
We consider the Galerkin boundary element method (BEM) for weakly-singular integral equations of the first-kind in 2D. We analyze some residual-type a posteriori error estimator wh…
Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without h-weighting factor
Michael Feischl, Thomas Führer, Gregor Mitscha-Eibl +2
We analyze adaptive mesh-refining algorithms in the frame of boundary element methods (BEM) and the coupling of finite elements and boundary elements (FEM-BEM). Adaptivity is drive…
Adaptive Boundary Element Methods
Michael Feischl, Thomas Führer, Norbert Heuer +2
This paper reviews the state of the art and discusses very recent mathematical developments in the field of adaptive boundary element methods. This includes an overview of availabl…
Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
Claas Abert, Gino Hrkac, Marcus Page +3
We propose and analyze a decoupled time-marching scheme for the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation for the spin accumulation. Th…