98 citations · 149 across the 5 of their papers we have counts for
7 papers
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
Elena Bachini, Philip Brandner, Thomas Jankuhn +4
We study the diffusion of tangential tensor-valued data on curved surfaces. For this purpose, several finite-element-based numerical methods are collected and used to solve a tange…
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
Philip Brandner, Thomas Jankuhn, Simon Praetorius +2
In this paper we study parametric TraceFEM and parametric SurfaceFEM (SFEM) discretizations of a surface Stokes problem. These methods are applied both to the Stokes problem in vel…
Error analysis of higher order trace finite element methods for the surface Stokes equations
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken +1
The paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in three-dimensional space. The method employs generalized Taylor-Hood fini…
Higher order Trace Finite Element Methods for the Surface Stokes Equation
Thomas Jankuhn, Arnold Reusken
In this paper a class of higher order finite element methods for the discretization of surface Stokes equations is studied. These methods are based on an unfitted finite element ap…
Trace Finite Element Methods for Surface Vector-Laplace Equations
Thomas Jankuhn, Arnold Reusken
In this paper we analyze a class of trace finite element methods (TraceFEM) for the discretization of vector-Laplace equations. A key issue in the finite element discretization of…
A Trace Finite Element Method for Vector-Laplacians on Surfaces
Sven Groß, Thomas Jankuhn, Maxim A. Olshanskii +1
We consider a vector-Laplace problem posed on a 2D surface embedded in a 3D domain, which results from the modeling of surface fluids based on exterior Cartesian differential opera…
Incompressible fluid problems on embedded surfaces: Modeling and variational formulations
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken
Governing equations of motion for a viscous incompressible material surface are derived from the balance laws of continuum mechanics. The surface is treated as a time-dependent smo…