44 citations · 124 across the 26 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…
Higher order unfitted FEM for Stokes interface problems
Philip Lederer, Carl-Martin Pfeiler, Christoph Wintersteiger +1
We consider the discretization of a stationary Stokes interface problem in a velocity-pressure formulation. The interface is described implicitly as the zero level of a scalar func…