Phase-field models for the approximation of the willmore functional and flow

DOI10.1051/proc/201445012zbMath1332.53008OpenAlexW2123944931MaRDI QIDQ3465138

Elie Bretin, Edouard Oudet, Simon Masnou

Publication date: 29 January 2016

Published in: ESAIM: Proceedings and Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc/201445012

zbMATH Keywords

numerical approximation\(L^2\)-flows

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

• Phase-field approximations of the Willmore functional and flow
• A phase-field approximation of the Willmore flow with volume constraint
• Saddle solutions of the bistable diffusion equation
• Quasi-optimal error estimates for the mean curvature flow with a forcing term
• On the approximation of the elastica functional in radial symmetry
• A Phase-Field Approximation of the Willmore Flow with Volume and Area Constraints
• Approximation of Helfrich's Functional via Diffuse Interfaces
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