Computational anisotropic Willmore flow

  • Paola Pozzi

    Universität Duisburg-Essen, Germany

Abstract

We study a geometrically consistent formulation of anisotropic Willmore flow for parametric hypersurfaces in . After giving a mixed formulation that is suitable for discretization by piecewise linear finite elements, we provide a stable semi-discrete scheme. An experimentally stable fully discrete semi-implicit scheme is then discussed and several tests for the evolution of curves and surfaces are presented.

Cite this article

Paola Pozzi, Computational anisotropic Willmore flow. Interfaces Free Bound. 17 (2015), no. 2, pp. 189–232

DOI 10.4171/IFB/339