An energy-stable parametric finite element method for the planar Willmore flow

Nonlinear parabolic equations (35K55) 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) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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The total squared curvature of closed curves
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[https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
Analysis of a Variational Approach to Progressive Lens Design
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An energy-stable parametric finite element method for simulating solid-state dewetting
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New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution
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