Computation of open Willmore-type surfaces

DOI10.1016/S0168-9274(00)00049-0zbMath0976.65016OpenAlexW2082424073MaRDI QIDQ5932828

Lydia Peres Hari, Dan Givoli, Jacob Rubinstein

Publication date: 19 December 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00049-0

zbMATH Keywords

numerical examplesbiological membranesC1 elementfinite element schemeopen Willmore-type surfacesshell mechanics

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Biophysics (92C05) Computer-aided design (modeling of curves and surfaces) (65D17)

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Uses Software

• DLEARN

Cites Work

• Comparison surfaces for the Willmore problem
• Willmore surfaces
• Complete minimal surfaces in \(S^ 3\)
• Boundary value problems for variational integrals involving surface curvatures
• Curvature in the Eighties
• TUTORIAL ON CONTINUATION
• Minimizing the Squared Mean Curvature Integral for Surfaces in Space Forms
• Gaussian quadrature formulas for triangles
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