55 citations · 159 across the 9 of their papers we have counts for
4 papers · 1 filter
A diffuse interface approach for vector-valued PDEs on surfaces
Michael Nestler, Axel Voigt
Approximating PDEs on surfaces by the diffuse interface approach allows us to use standard numerical tools to solve these problems. This makes it an attractive numerical approach.…
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…
A finite element approach for vector- and tensor-valued surface PDEs
Michael Nestler, Ingo Nitschke, Axel Voigt
We derive a Cartesian componentwise description of the covariant derivative of tangential tensor fields of any degree on general manifolds. This allows to reformulate any vector- a…
Orientational order on surfaces - the coupling of topology, geometry, and dynamics
Michael Nestler, Ingo Nitschke, Simon Praetorius +1
We consider the numerical investigation of surface bound orientational order using unit tangential vector fields by means of a gradient-flow equation of a weak surface Frank-Oseen…