Finite element approximations of minimal surfaces: algorithms and mesh refinement

DOI10.1007/s13160-018-0303-2zbMath1412.65212arXiv1706.09672OpenAlexW2731550319WikidataQ129812202 ScholiaQ129812202MaRDI QIDQ1756727

Takuya Tsuchiya, Aymeric Grodet

Publication date: 21 December 2018

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09672

zbMATH Keywords

finite element methodminimal surfacesmesh refinementplateau problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

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• FINITE ELEMENT APPROXIMATIONS OF CONFORMAL MAPPINGS
• Finite Element Approximation of Conformal Mappings to Unbounded Jordan Domains
• Minimal Surfaces
• Discrete Solution of the Plateau Problem and its Convergence
• A Weak Discrete Maximum Principle and Stability of the Finite Element Method in L ∞ on Plane Polygonal Domains. I
• The discrete Plateau Problem: Algorithm and numerics
• The discrete plateau problem: Convergence results
• A Note on Discrete Solutions of the Plateau Problem

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