A finite element error analysis for axisymmetric mean curvature flow

DOI10.1093/IMANUM/DRAA020OpenAlexW2986549395MaRDI QIDQ5077043

John W. Barrett, Robert Nürnberg, Klaus Deckelnick

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05398

zbMATH Keywords

mean curvature flowfinite element methoderror analysisaxisymmetryangenent torus

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

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Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow ⋮ A symmetrized parametric finite element method for simulating solid-state dewetting problems ⋮ A novel finite element approximation of anisotropic curve shortening flow ⋮ Unnamed Item ⋮ Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces ⋮ Convergence of Dziuk's Fully Discrete Linearly Implicit Scheme for Curve Shortening Flow ⋮ Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds ⋮ Numerically computing the index of mean curvature flow self-shrinkers

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