On the numerical approximation and computation of minimal surface continua bounded by one-parameter families of polygonal contours

DOI10.1016/S0168-9274(97)00045-7zbMath0883.65057OpenAlexW2084108269MaRDI QIDQ1369212

Michael Hinze

Publication date: 29 March 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00045-7

zbMATH Keywords

minimal surfacepolygonal contours

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Minimal surfaces and optimization (49Q05)

Uses Software

• ALCON
• Surface Evolver

Cites Work

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• Über eine Verallgemeinerung des plateauschen Problems
• An algorithm for evolutionary surfaces
• Die zweite Variation von Minimalflächen im \({\mathbb{R}}^ p\) mit polygonalem Rand
• The cusp catastrophe of Thom in the bifurcation of minimal surfaces
• On the Morse index of minimal surfaces in \({\mathbb{R}}^ p\) with polygonal boundaries
• Bifurkation von Minimalflächen und elementare Katastrophen. (Bifurcation of minimal surfaces and elementary catastrophes)
• Eine Bemerkung zu den Marx-Shiffmanschen Minimalvektoren bei Polygonen
• Consistency, stability, a priori and a posteriori errors for Petrov- Galerkin methods applied to nonlinear problems
• Minimalflächen mit polygonalem Rand
• On the approximation of unstable parametric minimal surfaces
• On the numerical approximation of unstable minimal surfaces with polygonal boundaries
• Contours bounding at least three solutions of Plateau's problem
• The Surface Evolver and the stability of liquid surfaces
• On the classification of unstable minimal surfaces with polygonal boundaries
• Ein Eindeutigkeitssatz für Minimalflächen im Rp mit polygonalem Rand.
• Efficient Numerical Pathfollowing Beyond Critical Points
• Discrete Solution of the Plateau Problem and its Convergence
• On the Numerical Treatment of Quasiminimal Surfaces
• Computing Discrete Minimal Surfaces and Their Conjugates
• A Note on Discrete Solutions of the Plateau Problem
• Zum Marx-Shiffmanschen Variationsproblem.
• The Surface Evolver

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