518 citations · 1.2k across the 49 of their papers we have counts for
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Polynomial robust stability analysis for -conforming finite elements for the Stokes equations
Philip L. Lederer, Joachim Schöberl
In this work we consider a discontinuous Galerkin method for the discretization of the Stokes problem. We use -conforming finite elements as they provide major ben…
Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements
Philip L. Lederer, Alexander Linke, Christian Merdon +1
Classical inf-sup stable mixed finite elements for the incompressible (Navier-)Stokes equations are not pressure-robust, i.e., their velocity errors depend on the continuous pressu…
An analysis of the TDNNS method using natural norms
Astrid S. Pechstein, Joachim Schöberl
The Tangential-Displacement Normal-Normal-Stress (TDNNS) method is a finite element method for mixed elasticity. As the name suggests, the tangential component of the displacement…
Mapped tent pitching schemes for hyperbolic systems
J. Gopalakrishnan, J. Schöberl, C. Wintersteiger
A spacetime domain can be progressively meshed by tent shaped objects. Numerical methods for solving hyperbolic systems using such tent meshes to advance in time have been proposed…