32 citations · 76 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
Quasi-best approximation in optimization with PDE constraints
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1
We consider finite element solutions to quadratic optimization problems, where the state depends on the control via a well-posed linear partial differential equation. Exploiting th…
Oscillation in a posteriori error estimation
Christian Kreuzer, Andreas Veeser
In a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to re…
Quasi-optimal and pressure robust discretizations of the Stokes equations by new augmented Lagrangian formulations
Christian Kreuzer, Pietro Zanotti
We approximate the solution of the stationary Stokes equations with various conforming and nonconforming inf-sup stable pairs of finite element spaces on simplicial meshes. Based o…