NON-LOCAL VARIATIONAL LIMITS OF DISCRETE SYSTEMS

DOI10.1142/S021919970000013XzbMath0957.49011MaRDI QIDQ4513337

Andrea Braides

Publication date: 14 November 2000

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

discrete systemsfunctions of bounded variation\( \Gamma\)-limits

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Discrete approximations in optimal control (49M25) Homogenization, determination of effective properties in solid mechanics (74Q99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (11)

The energy of some microscopic stochastic lattices ⋮ An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem ⋮ Discrete-to-Continuum Limits of Multibody Systems with Bulk and Surface Long-Range Interactions ⋮ An Integral-Representation Result for Continuum Limits of Discrete Energies with MultiBody Interactions ⋮ Continuum limits of discrete thin films with superlinear growth densities ⋮ Qualitative properties of a continuum theory for thin films ⋮ Improved continuous models for discrete media ⋮ Atomistic to Continuum limits for computational materials science ⋮ On the passage from atomic to continuum theory for thin films ⋮ From atoms to crystals: a mathematical journey ⋮ Unnamed Item

Cites Work

• Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case
• Composite media and asymptotic Dirichlet forms
• Non-local approximation of the Mumford-Shah functional
• Optimal approximations by piecewise smooth functions and associated variational problems
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• On the non-local approximation of free-discontinuity problems
• Finite difference approximation of the Mumford-Shah functional

This page was built for publication: NON-LOCAL VARIATIONAL LIMITS OF DISCRETE SYSTEMS