Approximation of minimal surfaces with free boundaries

DOI10.4171/IFB/412zbMath1448.53010OpenAlexW2905392163WikidataQ128759325 ScholiaQ128759325MaRDI QIDQ1729844

Paola Pozzi, Ulrich Dierkes, Tristan Jenschke

Publication date: 28 February 2019

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/412

zbMATH Keywords

convergencefree boundary problemfinite element approximationminimal surfacesDirichlet integralharmonic extensionharmonic solutionstationary surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Multiple integrals in the calculus of variations
• Minimal Surfaces
• Regularity of Minimal Surfaces
• Global Analysis of Minimal Surfaces
• Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces
• The discrete Plateau Problem: Algorithm and numerics
• The discrete plateau problem: Convergence results
• 𝐿²-estimate for the discrete Plateau Problem
• Approximation of minimal surfaces with free boundaries: convergence results
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