A Phase Field Model for the Optimization of the Willmore Energy in the Class of Connected Surfaces

DOI10.1137/130921994zbMath1293.49106arXiv1305.5054OpenAlexW1972642191MaRDI QIDQ5495260

Matthias Röger, Luca Mugnai, Patrick W. Dondl

Publication date: 31 July 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5054

zbMATH Keywords

\(\Gamma\)-convergencephase field modelsWillmore energytopological constraints

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (4)

Connected perimeter of planar sets ⋮ Phase field models for thin elastic structures with topological constraint ⋮ Average-distance problem with curvature penalization for data parameterization: regularity of minimizers ⋮ Approximation of Length Minimization Problems Among Compact Connected Sets

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