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20122025
most citedAdaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems

76 citations · 1.5k across the 82 of their papers we have counts for

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Showing 2014 · math.NAShow all

5 papers · 2 filters

math.NA2014★ 8 cited

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…

math.NA2014★ 32 cited

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…

math.NA2014★ 12 cited

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…

math.NA2014★ 39 cited

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…

math.NA2014★ 35 cited

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…