Oberhuber, Tomáš Numerical solution for the Willmore flow of graphs. (English) Zbl 1145.65323 Beneš, Michal (ed.) et al., Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005, Kuju, Japan, September 15–18, 2005. Fukuoka: Kyushu University, The 21st Century COE Program “DMHF”. COE Lecture Note 3, 126-138 (2006). Summary: In this article we present a numerical scheme for the Willmore flow of graphs. It is based on the method of lines. Resulting ordinary differential equations are solved using the fourth-order Runge-Kutta-Merson solver. We show basic properties of the semi-discrete scheme and present several computational studies of evolving graphs.For the entire collection see [Zbl 1141.65001]. Cited in 1 ReviewCited in 4 Documents MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 35K55 Nonlinear parabolic equations 35K35 Initial-boundary value problems for higher-order parabolic equations 53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010) 74H15 Numerical approximation of solutions of dynamical problems in solid mechanics PDF BibTeX XML Cite \textit{T. Oberhuber}, COE Lect. Note 3, 126--138 (2006; Zbl 1145.65323)