76 citations · 469 across the 30 of their papers we have counts for
5 papers · 2 filters
Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements
Michael Feischl, Thomas Führer, Dirk Praetorius +1
We analyze a multilevel diagonal additive Schwarz preconditioner for the adaptive coupling of FEM and BEM for a linear 2D Laplace transmission problem. We rigorously prove that the…
Efficient additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations
Michael Feischl, Thomas Führer, Dirk Praetorius +1
For non-preconditioned Galerkin systems, the condition number grows with the number of elements as well as the quotient of the maximal and the minimal mesh-size. Therefore, reliabl…
ZZ-type aposteriori error estimators for adaptive boundary element methods on a curve
Michael Feischl, Thomas Führer, Michael Karkulik +1
In the context of the adaptive finite element method (FEM), ZZ-error estimators named after Zienkiewicz and Zhu are mathematically well-established and widely used in practice. In…
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…
Convergence and Quasi-Optimality of Adaptive FEM with Inhomogeneous Dirichlet Data
Michael Feischl, Marcus Page, Dirk Praetorius
We consider the solution of a second order elliptic PDE with inhomogeneous Dirichlet data by means of adaptive lowest-order FEM. As is usually done in practice, the given Dirichlet…