76 citations · 469 across the 30 of their papers we have counts for
6 papers · 2 filters
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems
Michael Feischl, Thomas Führer, Michael Karkulik +1
We consider symmetric as well as non-symmetric coupling formulations of FEM and BEM in the frame of nonlinear elasticity problems. In particular, the Johnson-Nédélec coupling is an…
Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM
Markus Aurada, Michael Feischl, Thomas Führer +3
We prove inverse-type estimates for the four classical boundary integral operators associated with the Laplace operator. These estimates are used to show convergence of an h-adapti…
Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
Markus Aurada, Michael Feischl, Thomas Führer +3
We consider a (possibly) nonlinear interface problem in 2D and 3D, which is solved by use of various adaptive FEM-BEM coupling strategies, namely the Johnson-Nédélec coupling, the…
Adaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems
Michael Feischl, Thomas Führer, Dirk Praetorius
We analyze adaptive mesh-refining algorithms for conforming finite element discretizations of certain non-linear second-order partial differential equations. We allow continuous po…
Multiscale modeling in micromagnetics: existence of solutions and numerical integration
Florian Bruckner, Michael Feischl, Thomas Führer +5
Various applications ranging from spintronic devices, giant magnetoresistance sensors, and magnetic storage devices, include magnetic parts on very different length scales. Since t…
Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data
Michael Feischl, Marcus Page, Dirk Praetorius
In this work, we show the convergence of adaptive lowest-order FEM (AFEM) for an elliptic obstacle problem with non-homogeneous Dirichlet data, where the obstacle χ is restricted o…