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A finite element approach for vector-and tensor-valued surface PDEs
M Nestler, I Nitschke, A Voigt - Journal of Computational Physics, 2019 - Elsevier
We derive a Cartesian componentwise description of the covariant derivative of tangential
tensor fields of any degree on Riemannian manifolds. This allows to reformulate any vector …
tensor fields of any degree on Riemannian manifolds. This allows to reformulate any vector …
Hydrodynamic interactions in polar liquid crystals on evolving surfaces
I Nitschke, S Reuther, A Voigt - Physical Review Fluids, 2019 - APS
We consider the derivation and numerical solution of the flow of passive and active polar
liquid crystals, whose molecular orientation is subjected to a tangential anchoring on an …
liquid crystals, whose molecular orientation is subjected to a tangential anchoring on an …
A tangential and penalty-free finite element method for the surface Stokes problem
Surface Stokes and Navier–Stokes equations are used to model fluid flow on surfaces. They
have attracted significant recent attention in the numerical analysis literature because …
have attracted significant recent attention in the numerical analysis literature because …