98 citations · 227 across the 32 of their papers we have counts for
4 papers · 1 filter
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems
Christoph Lehrenfeld, Arnold Reusken
In the past decade, a combination of unfitted finite elements (or XFEM) with the Nitsche method has become a popular discretization method for elliptic interface problems. This dev…
A trace finite element method for a class of coupled bulk-interface transport problems
Sven Gross, Maxim A. Olshanskii, Arnold Reusken
In this paper we study a system of advection-diffusion equations in a bulk domain coupled to an advection-diffusion equation on an embedded surface. Such systems of coupled partial…
A space-time FEM for PDEs on evolving surfaces
Joerg Grande, Maxim Olshanskii, Arnold Reusken
The paper studies a finite element method for computing transport and diffusion along evolving surfaces. The method does not require a parametrization of a surface or an extension…
Error analysis of a space-time finite element method for solving PDEs on evolving surfaces
Maxim A. Olshanskii, Arnold Reusken
In this paper we present an error analysis of an Eulerian finite element method for solving parabolic partial differential equations posed on evolving hypersurfaces in $\mathbb{R}^…