We present equilibrated flux a posteriori error estimates in a unified setting for conforming,
nonconforming, discontinuous Galerkin, and mixed finite element discretizations of the two …

We derive a unified framework for goal-oriented a posteriori estimation covering in particular
higher-order conforming, nonconforming, and discontinuous Galerkin finite element …

We consider discretizations of the stationary Stokes equation in three spatial dimensions by
non-conforming Crouzeix-Raviart elements. The original definition in the seminal paper by …

We devise variants of classical nonconforming methods for symmetric elliptic problems.
These variants differ from the original ones only by transforming discrete test functions into …

In this paper, we prove that Crouzeix-Raviart finite elements of polynomial order p≥ 5, p
odd, are inf-sup stable for the Stokes problem on triangulations. For p≥ 4, p even, the …

We give an overview of our recent progress in developing a framework for the derivation of
fully computable guaranteed posteriori error bounds for finite element approximation …

We derive a posteriori error estimates for the hybridizable discontinuous Galerkin (HDG)
methods, including both the primal and mixed formulations, for the approximation of a linear …

In this paper, we consider the discretization of the two-dimensional stationary Stokes
equation by Crouzeix-Raviart elements for the velocity of polynomial order k≥ 1 on …

In this paper we introduce and analyze the residual-based a posteriori error estimation of the
partially penalized immersed finite element method for solving elliptic interface problems …

In this paper, we consider a posteriori error estimators for obstacle problems. The variational
inequality is reformulated as a mixed problem in terms of a discrete nodewise defined but …