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The \(C^1\) and \(C^2\) quasi-Plateau problems

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Publication:1675366
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DOI10.1016/j.cam.2017.04.039zbMath1378.49044OpenAlexW2610165029MaRDI QIDQ1675366

Chong-Jun Li, Yong-Xia Hao

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.04.039


zbMATH Keywords

minimal surfacemulti-resolution analysisDirichlet functionalminimal area\(C^k\) quasi-Plateau problem


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05)


Related Items (1)

A new method to construct polynomial minimal surfaces



Cites Work

  • Unnamed Item
  • High order numerical approximation of minimal surfaces
  • Quintic parametric polynomial minimal surfaces and their properties
  • Discrete Coons patches
  • Explicit form of parametric polynomial minimal surfaces with arbitrary degree
  • An approximation method based on MRA for the quasi-Plateau problem
  • Bézier surfaces of minimal area: the Dirichlet approach
  • Concerning my paper on the boundary behavior of minimal surfaces
  • A theory for multiresolution signal decomposition: the wavelet representation
  • The discrete Plateau Problem: Algorithm and numerics
  • Mathematics of Surfaces
  • A practical guide to splines.


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