211 citations · 712 across the 40 of their papers we have counts for
6 papers · 1 filter
A Higher Order Isoparametric Fictitious Domain Method for Level Set Domains
Christoph Lehrenfeld
We consider a new fictitious domain approach of higher order accuracy. To implement Dirichlet conditions we apply the classical Nitsche method combined with a facet-based stabiliza…
Analysis of a high order Trace Finite Element Method for PDEs on level set surfaces
Jörg Grande, Christoph Lehrenfeld, Arnold Reusken
We present a new high order finite element method for the discretization of partial differential equations on stationary smooth surfaces which are implicitly described as the zero…
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…
-error analysis of an isoparametric unfitted finite element method for elliptic interface problems
Christoph Lehrenfeld, Arnold Reusken
In the context of unfitted finite element discretizations the realization of high order methods is challenging due to the fact that the geometry approximation has to be sufficientl…
Removing the stabilization parameter in fitted and unfitted symmetric Nitsche formulations
Christoph Lehrenfeld
In many situations with finite element discretizations it is desirable or necessary to impose boundary or interface conditions not as essential conditions -- i.e. through the finit…
Analysis of a high order unfitted finite element method for elliptic interface problems
Christoph Lehrenfeld, Arnold Reusken
In the context of unfitted finite element discretizations the realization of high order methods is challenging due to the fact that the geometry approximation has to be sufficientl…