17 June 2025, Tuesday, 11:15, in seminar room J2.138
Title:
Error estimates for a finite element method for anisotropic mean curvature flow
Abstract:
In this talk I would like to discuss error estimates for anisotropic mean curvature flow of closed surfaces.
We will first derive the evolution equations for the anisotropic flow, which formally resemble to those for the mean curvature flow (isotropic case), yet have substantially more complicated proofs.
The discretisation in space uses evolving surface finite elements. Thanks to this formal resemblance, stability and consistency proofs are quite similar to previous works, and they will lead to optimal-order H^1-norm error estimates.
Various numerical experiments and some regularisation ideas will also be presented.
The talk is based on joint work with Harald Garcke (Regensburg) and Klaus Deckelnick (Magdeburg).