36 citations · 57 across the 2 of their papers we have counts for
4 papers
Local inverse estimates for non-local boundary integral operators
Markus Aurada, Michael Feischl, Thomas Führer +3
We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded d-dimensional Lipschitz domain Omega for…
Each H^{1/2}-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in R^d
Markus Aurada, Michael Feischl, Josef Kemetmüller +2
We consider the solution of second order elliptic PDEs in with inhomogeneous Dirichlet data by means of an -adaptive FEM with fixed polynomial order . As model ex…
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…