Shape optimization under width constraint

DOI10.1007/s00454-012-9471-zzbMath1262.65072OpenAlexW2020321582MaRDI QIDQ1943659

Edouard Oudet

Publication date: 20 March 2013

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-012-9471-z

zbMATH Keywords

algorithmnumerical examplesshape optimizationconvex bodiesMeissner's problemwidth constraint

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Optimization of shapes other than minimal surfaces (49Q10) Discrete approximations in optimal control (49M25)

Related Items (2)

Parametric shape optimization using the support function ⋮ Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint

Uses Software

• LANCELOT
• GALAHAD

Cites Work

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• Meissner's mysterious bodies
• Surface fitting using convex tensor-product splines
• Characterization of Cheeger sets for convex subsets of the plane
• Analytic parametrization of three-dimensional bodies of constant width
• On the three-dimensional Blaschke-Lebesgue problem
• Bodies of constant width in arbitrary dimension
• GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization
• Minimizing within Convex Bodies Using a Convex Hull Method
• Decomposable convex polyhedra

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