Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves

We propose and analyze stable finite element approximations for Willmore flow of planar curves. The presented schemes are based on a novel weak formulation which combines an evolution equation for curvature with the curvature formulation originally proposed by Barrett, Garcke and Nürnberg (BGN) in (...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 105; no. 2; p. 45
Main Authors:	Garcke, Harald, Nürnberg, Robert, Zhao, Quan
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2025 Springer Nature B.V
Subjects:	Algorithms Apexes Applied mathematics Approximation Computational Mathematics and Numerical Analysis Curvature Energy Finite element method Lagrange multiplier Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical Finite element method 65M15 Planar curves Willmore flow Energy stability Equidistribution 35R01 65M60 65M12
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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