44 citations · 124 across the 26 of their papers we have counts for
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Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model
Johannes Kraus, Philip L. Lederer, Maria Lymbery +1
We consider the quasi-static Biot's consolidation model in a three-field formulation with the three unknown physical quantities of interest being the displacement …
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations
Philip L. Lederer, Christian Merdon
This paper aims to improve guaranteed error control for the Stokes problem with a focus on pressure-robustness, i.e. for discretisations that compute a discrete velocity that is in…
A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions
Philip L. Lederer
We introduce a new discretization for the stream function formulation of the incompressible Stokes equations in two and three space dimensions. The method is strongly related to th…
A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators
Philip L. Lederer, Sander Rhebergen
The embedded discontinuous Galerkin (EDG) finite element method for the Stokes problem results in a point-wise divergence-free approximate velocity on cells. However, the approxima…