Longest minimal length partitions

DOI10.4171/IFB/468zbMath1486.49041arXiv2102.02891OpenAlexW4212837237MaRDI QIDQ2119725

Beniamin Bogosel, Edouard Oudet

Publication date: 30 March 2022

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.02891

zbMATH Keywords

shape optimizationisoperimetric problemsnumerical simulationsoptimal partitions

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Numerical methods of relaxation type (49M20) Sensitivity analysis for optimization problems on manifolds (49Q12)

Uses Software

• FreeFem++
• MayaVi
• Mayavi
• NLopt
• GitHub

Cites Work

• Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
• Introduction to sensitivity and stability analysis in nonlinear programming
• The minimal perimeter for \(N\) confined deformable bubbles of equal area
• Approximation of free-discontinuity problems
• Soap bubbles in \(\mathbb{R}^ 2\) and in surfaces
• Connectivity of phase boundaries in strictly convex domains
• The longest shortest fence and sharp Poincaré-Sobolev inequalities
• The gradient theory of phase transitions and the minimal interface criterion
• The Gibbs-Thompson relation within the gradient theory of phase transitions
• Lower bounds for volumes of convex bodies
• A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
• On the structure of equilibrium phase transitions within the gradient theory of fluids
• Partitions of Minimal Length on Manifolds
• Centroidal Voronoi Tessellations: Applications and Algorithms
• Approximation of Partitions of Least Perimeter by Γ-Convergence: Around Kelvin’s Conjecture
• New development in freefem++
• Estimating volume and surface area of a convex body via its projections or sections
• Phase-field modelling and computing for a large number of phases
• Isoperimetric inequalities in Euclidean convex bodies
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Longest minimal length partitions