A robust construction of minimal surface from a general initial mesh

DOI10.1007/S11766-015-3330-7zbMath1340.49042MaRDI QIDQ904139

Suleman Muhammad, Yang Yu, Min-Hong Chen, Qing-Biao Wu

Publication date: 15 January 2016

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

zbMATH Keywords

minimal surfacevariational methodmesh optimizationdiscrete mean curvature

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Uses Software

• Surface Evolver

Cites Work

• Unnamed Item
• A discussion on relationships between minimal energy and curve shapes
• Bézier surfaces of minimal area: the Dirichlet approach
• Data Dependent Triangulations for Piecewise Linear Interpolation
• The discrete Plateau Problem: Algorithm and numerics
• Computing Discrete Minimal Surfaces and Their Conjugates
• The Surface Evolver
• Mathematics of Surfaces

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