Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow

DOI10.1007/s00211-022-01309-9zbMath1496.65163OpenAlexW4291307679WikidataQ114231014 ScholiaQ114231014MaRDI QIDQ2168064

Buyang Li, Jiashun Hu

Publication date: 31 August 2022

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-022-01309-9

zbMATH Keywords

mean curvature flowfinite element methodsmesh qualityWillmore flow

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Surfaces in Euclidean and related spaces (53A05) PDEs on manifolds (35R01)

Related Items (7)

Convergence of a scheme for an elastic flow with tangential mesh movement ⋮ A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow ⋮ Unfitted finite element methods for axisymmetric two-phase flow ⋮ An ALE meshfree method for surface PDEs coupling with forced mean curvature flow ⋮ Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry ⋮ Numerical Surgery for Mean Curvature Flow of Surfaces ⋮ New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution

Uses Software

• NGSolve

Cites Work

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