Error analysis for the approximation of axisymmetric Willmore flow by \(C^{1}\)-finite elements

DOI10.4171/IFB/245zbMath1227.65079OpenAlexW2088992153MaRDI QIDQ629822

Friedhelm Schieweck, Klaus Deckelnick

Publication date: 10 March 2011

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/245

zbMATH Keywords

error estimatesfinite elementsnumerical examplesDirichlet boundary conditionssemidiscretizationWillmore flownonlinear fourth order parabolic equation

Mathematics Subject Classification ID

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (6)

A stable numerical method for the dynamics of fluidic membranes ⋮ A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow ⋮ Variational discretization of axisymmetric curvature flows ⋮ Stable approximations for axisymmetric Willmore flow for closed and open surfaces ⋮ Finite element methods for fourth order axisymmetric geometric evolution equations ⋮ A $C^1$–finite element method for the Willmore flow of two-dimensional graphs

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