19 citations · 116 across the 13 of their papers we have counts for
5 papers · 1 filter
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs
Maximilian Brunner, Pascal Heid, Michael Innerberger +3
We consider a general nonsymmetric second-order linear elliptic PDE in the framework of the Lax-Milgram lemma. We formulate and analyze an adaptive finite element algorithm with ar…
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs
Roland Becker, Maximilian Brunner, Michael Innerberger +2
We consider scalar semilinear elliptic PDEs where the nonlinearity is strongly monotone, but only locally Lipschitz continuous. We formulate an adaptive iterative linearized finite…
-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs
Michael Innerberger, Ani Miraçi, Dirk Praetorius +1
In this work, we formulate and analyze a geometric multigrid method for the iterative solution of the discrete systems arising from the finite element discretization of symmetric s…
Plain convergence of goal-oriented adaptive FEM
Valentin Helml, Michael Innerberger, Dirk Praetorius
We discuss goal-oriented adaptivity in the frame of conforming finite element methods and plain convergence of the related a posteriori error estimator for different general markin…
MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs
Michael Innerberger, Dirk Praetorius
We present an easily accessible, object oriented code (written exclusively in Matlab) for adaptive finite element simulations in 2D. It features various refinement routines for tri…