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Γ-convergence

Known as: Gamma-convergence, Gamma convergence, G-convergence 
In the calculus of variations, Γ-convergence (Gamma-convergence) is a notion of convergence for functionals. It was introduced by Ennio de Giorgi.
Wikipedia

Related topics

Related topics

4 relations

Broader (2)

Calculus of variationsVariational analysis
Mosco convergenceSemi-continuity

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
Metastability and Dynamics of Discrete Topological Singularities in Two Dimensions: A Γ-Convergence Approach
This paper aims at building a variational approach to the dynamics of discrete topological singularities in two dimensions, based… 
Highly Cited
2012
Highly Cited
2012
Γ-convergence for nonlocal phase transitions
We discuss the Γ-convergence, under the appropriate scaling, of the energy functional ‖u‖Hs(Ω)2+∫ΩW(u)dx, with s∈(0,1), where… 
2012
2012
Γ-CONVERGENCE OF GRAPH GINZBURG–LANDAU FUNCTIONALS
We study Γ-convergence of graph-based Ginzburg–Landau functionals, both the limit for zero diffusive interface parameter ε → 0… 
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2012
2012
Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation
The quasi-static rate-independent evolution of the Prager-Ziegler-type model of plasticity with hardening is shown to converge to… 
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Highly Cited
2010
Highly Cited
2010
From the Schr\"odinger problem to the Monge-Kantorovich problem
The aim of this article is to show that the Monge-Kantorovich problem is the limit of a sequence of entropy minimization problems… 
Highly Cited
2010
Highly Cited
2010
A continuum phase field model for fracture
A phase field model based on a regularized version of the variational formulation of brittle fracture is introduced. The… 
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Highly Cited
2009
Highly Cited
2009
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments
Abstract This paper presents a modified regularized formulation of the Ambrosio–Tortorelli type to introduce the crack non… 
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Highly Cited
2008
Highly Cited
2008
The Variational Approach to Fracture
1 Introduction 2 Going variational 2.1 Griffith's theory 2.2 The 1-homogeneous case - A variational equivalence 2.3 Smoothness… 
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Highly Cited
2002
Highly Cited
2002
Γ-convergence for beginners
Highly Cited
1993
Highly Cited
1993
An Introduction to-convergence
1. The direct method in the calculus of variations.- 2. Minimum problems for integral functionals.- 3. Relaxation.- 4… 
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