On the numerical approximation of unstable minimal surfaces with polygonal boundaries

DOI10.1007/s002110050186zbMath0858.65060OpenAlexW2088232860MaRDI QIDQ1923335

Michael Hinze

Publication date: 11 March 1997

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/271723

zbMATH Keywords

convergenceNewton's methoderror estimatelinear finite elementspolygonal minimal surfaces

Mathematics Subject Classification ID

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

Related Items (6)

An approximation method based on MRA for the quasi-Plateau problem ⋮ On the numerical approximation and computation of minimal surface continua bounded by one-parameter families of polygonal contours ⋮ Variational convergence of discrete minimal surfaces ⋮ Variational Methods for Discrete Geometric Functionals ⋮ A numerical method for computing minimal surfaces in arbitrary dimension ⋮ Nonlinear hyperbolic equations in surface theory: Integrable discretizations and approximation results

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