Numerical approximation of curve evolutions in Riemannian manifolds

DOI10.1093/IMANUM/DRZ012zbMath1466.65121arXiv1809.01973OpenAlexW2890562106WikidataQ115274902 ScholiaQ115274902MaRDI QIDQ5857326

Robert Nürnberg, Harald Garcke, John W. Barrett

Publication date: 31 March 2021

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

Full work available at URL: https://arxiv.org/abs/1809.01973

zbMATH Keywords

Riemannian manifoldsfinite element approximationequidistributionhyperbolic planecurvature flowelastic flowelliptic planehyperbolic disccurve diffusioncurve evolution equationsgeodesic curve evolutions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Geometric evolution equations (53E99)

Related Items (4)

A novel finite element approximation of anisotropic curve shortening flow ⋮ Stable approximations for axisymmetric Willmore flow for closed and open surfaces ⋮ Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds ⋮ Stable Discretizations of Elastic Flow in Riemannian Manifolds

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