A Continuation Method for Computing Constant Mean Curvature Surfaces with Boundary

DOI10.1137/17M1143228zbMath1397.49029arXiv1808.01401MaRDI QIDQ4582846

Nicholas D. Brubaker

Publication date: 24 August 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01401

zbMATH Keywords

interfaceconstant mean curvaturesymmetry-breaking bifurcationcapillary surfacearc-length continuation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Variational problems in a geometric measure-theoretic setting (49Q20) Surfaces in Euclidean and related spaces (53A05)

Related Items

Bifurcations of minimal surfaces via index theory, Spectral methods for capillary surfaces described by bounded generating curves

Uses Software

• Matlab
• Schwarz-Christoffel
• AUTO
• AUTO-07P
• Surface Evolver

Cites Work

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