37 citations · 40 across the 4 of their papers we have counts for
4 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…
On derivations of evolving surface Navier-Stokes equations
Philip Brandner, Arnold Reusken, Paul Schwering
In recent literature several derivations of incompressible Navier-Stokes type equations that model the dynamics of an evolving fluidic surface have been presented. These derivation…
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…
Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation
Philip Brandner, Arnold Reusken
We consider a surface Stokes problem in stream function formulation on a simply connected oriented surface without boundary. This formulation leads to a cou…