Speaker
Enno Igel
(TU Dresden)
Description
We consider the surface Stokes-Helfrich problem using a stream function formulation. The formulation is considered for simply connected surfaces without boundary. It is based on a splitting of the velocity field in normal and tangential components and the Helmholtz decomposition of the tangential part. For its numerical solution the surface is approximated by higher order isoparametric elements and the resulting system is solved using the evolving surface finite element method (ESFEM). We systematically compare this approach with numerical solutions of the problem in velocity-pressure formulation using the established isoparametric Taylor-Hood element.
Author
Enno Igel
(TU Dresden)