3 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
Strictly equivalent a~posteriori error estimators for quasi-optimal nonconforming methods
Christian Kreuzer, Matthias Rott, Andreas Veeser +1
We devise a posteriori error estimators for quasi-optimal nonconforming finite element methods approximating symmetric elliptic problems of second and fourth order. These estimator…
Pressure robust finite element discretizations of the nonlinear Stokes equations
Lars Diening, Adrian Hirn, Christian Kreuzer +1
We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with -structure. Thereby the velocity-errors are indepen…
On the threshold condition for Dörfler marking
Lars Diening, Christian Kreuzer
It is an open question if the threshold condition for the Dörfler marking parameter is necessary to obtain optimal algebraic rates of adaptive finite element methods.…
Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators
Christian Kreuzer, Rüdiger Verfürth, Pietro Zanotti
We approximate the solution of the Stokes equations by a new quasi-optimal and pressure robust discontinuous Galerkin discretization of arbitrary order. This means quasi-optimality…
Convergence of an adaptive -interior penalty Galerkin method for the biharmonic problem
Alexander Dominicus, Fernando Gaspoz, Christian Kreuzer
We develop a basic convergence analysis for an adaptive method for the Biharmonic problem, which provides convergence without rates for all practically r…
Convergence of adaptive discontinuous Galerkin methods (corrected version of [Math. Comp. 87 (2018), no. 314, 2611--2640])
Christian Kreuzer, Emmanuil H. Georgoulis
We develop a general convergence theory for adaptive discontinuous Galerkin methods for elliptic PDEs covering the popular SIPG, NIPG and LDG schemes as well as all practically rel…