518 citations · 1.2k across the 49 of their papers we have counts for
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Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods
P. L. Lederer, C. Merdon, J. Schöberl
Recent works showed that pressure-robust modifications of mixed finite element methods for the Stokes equations outperform their standard versions in many cases. This is achieved b…
Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I
Philip L. Lederer, Christoph Lehrenfeld, Joachim Schöberl
We propose a new discretization method for the Stokes equations. The method is an improved version of the method recently presented in [C. Lehrenfeld, J. Schöberl, Comp. Meth. Appl…
An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods
Dietrich Braess, Astrid S. Pechstein, J. Schöberl
We develop an a posteriori error estimator for the Interior Penalty Discontinuous Galerkin approximation of the biharmonic equation with continuous finite elements. The error bound…
The TDNNS method for Reissner-Mindlin plates
Astrid Pechstein, Joachim Schöberl
A new family of locking-free finite elements for shear deformable Reissner-Mindlin plates is presented. The elements are based on the "tangential-displacement normal-normal-stress"…