A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint

DOI10.1016/j.cpc.2010.02.010zbMath1216.65021OpenAlexW2129967683MaRDI QIDQ536910

Junseok Kim, Seong-Deog Yang, Hyun Geun Lee

Publication date: 31 May 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.02.010

zbMATH Keywords

algorithmminimal surfacephase-field modelconstant mean curvature surfacesunconditionally gradient stable schemenumerical and graphical examplesSchoen gyroid surfacesSchwarz diamond surfaceSchwarz primitive surface

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

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• A topology-preserving level set method for shape optimization
• Fourth order partial differential equations on general geometries
• A phase field formulation of the Willmore problem
• Curved surfaces in chemical structure
• The periodic isoperimetric problem
• The Surface Evolver
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

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