Variational approximation of interface energies and applications

DOI10.4171/IFB/450zbMath1470.49028MaRDI QIDQ2042376

Daniel Gourion, Samuel Amstutz, Mohammed Zabiba

Publication date: 29 July 2021

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

zbMATH Keywords

surface tension\(\Gamma\)-convergencemultiphaseperimeterinterface energy

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

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• Minimal partitions and image classification using a gradient-free perimeter approximation
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
• Structural optimization using sensitivity analysis and a level-set method.
• Elliptic partial differential equations of second order
• Topology optimization methods with gradient-free perimeter approximation
• Phase field approach to optimal packing problems and related Cheeger clusters
• A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics
• Short-time heat flow and functions of bounded variation in \(\mathbb R^N\)
• Sets of Finite Perimeter and Geometric Variational Problems
• Variational Analysis in Sobolev andBVSpaces
• A Shortest Augmenting Path Algorithm for the Semi-Assignment Problem
• A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
• Partitions of Minimal Length on Manifolds
• A Convex Approach to Minimal Partitions
• Approximation of Partitions of Least Perimeter by Γ-Convergence: Around Kelvin’s Conjecture
• Threshold Dynamics for Networks with Arbitrary Surface Tensions
• The triangle inequalities and lower semi-continuity of surface energy of partitions
• Multi-phase structural optimizationviaa level set method
• Geometry of cuts and metrics
• Connected components of sets of finite perimeter and applications to image processing

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