98 citations · 227 across the 32 of their papers we have counts for
4 papers · 1 filter
Numerical analysis of a constrained strain energy minimization problem
Tilman Aleman, Arnold Reusken
We consider a setting in which an evolving surface is implicitly characterized as the zero level of a level set function. Such an implicit surface does not encode any information a…
A narrow band finite element method for the level set equation
Maxim Olshanskii, Arnold Reusken, Paul Schwering
A finite element method is introduced to track interface evolution governed by the level set equation. The method solves for the level set indicator function in a narrow band aroun…
Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation
Arnold Reusken
We consider the surface Stokes equation on a smooth closed hypersurface in three-dimensional space. For discretization of this problem a generalization of the surface finite elemen…
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces
Arnold Reusken, Hauke Sass
In this paper we analyze a space-time unfitted finite element method for the discretization of scalar surface partial differential equations on evolving surfaces. For higher order…