98 citations · 227 across the 32 of their papers we have counts for
4 papers · 2 filters
Trace Finite Element Methods for PDEs on Surfaces
Maxim A. Olshanskii, Arnold Reusken
In this paper we consider a class of unfitted finite element methods for discretization of partial differential equations on surfaces. In this class of methods known as the Trace F…
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…
-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…
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…