High order numerical approximation of minimal surfaces

DOI10.1016/j.jcp.2011.03.003zbMath1220.65079OpenAlexW1993586697MaRDI QIDQ550916

Øystein Tråsdahl, Einar M. Rønquist

Publication date: 13 July 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.003

zbMATH Keywords

algorithmnumerical examplesmean curvatureminimal surfacesLaplace-Beltrami operatorexponential convergencefree surface flowevolutionary surfacesmesh update techniquesparametric interpolation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Minimal surfaces and optimization (49Q05) Variational methods applied to problems in fluid mechanics (76M30) Discrete approximations in optimal control (49M25) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (8)

A new method to construct polynomial minimal surfaces ⋮ The virtual element method for a minimal surface problem ⋮ An algorithm for prescribed mean curvature using isogeometric methods ⋮ An approximation method based on MRA for the quasi-Plateau problem ⋮ Minimal quasi-Bézier surface ⋮ The \(C^1\) and \(C^2\) quasi-Plateau problems ⋮ High-order algorithms for Laplace-Beltrami operators and geometric invariants over curved surfaces ⋮ Simulation of a Soap Film Möbius Strip Transformation

Uses Software

• Surface Evolver

Cites Work

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• The Surface Evolver
• Numerical Solution of the Minimal Surface Equation

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