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hal-01015179v1  Journal articles
Jean-François BabadjianAntonin ChambolleAntoine Lemenant. Energy release rate for non smooth cracks in planar elasticity
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2015, 2, pp.117-152
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hal-01291718v1  Journal articles
Antonin ChambolleMatteo NovagaBerardo Ruffini. Some results on anisotropic fractional mean curvature flows
Interfaces and Free Boundaries, European Mathematical Society, 2017, 19 (3), pp.393-415. ⟨10.4171/IFB/387⟩
hal-00381326v1  Journal articles
Antonin ChambolleGilles Thouroude. Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem
Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2009, 4 (1), pp.127-152. ⟨10.3934/nhm.2009.4.127⟩
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hal-02164431v2  Journal articles
Antonin ChambolleMatteo NovagaValerio Pagliari. On the Convergence Rate of some Nonlocal Energies
Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2020, 200 (112016), 23pp. ⟨10.1016/j.na.2020.112016⟩
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hal-02539136v2  Journal articles
Corentin CaillaudAntonin Chambolle. Error estimates for finite differences approximations of the total variation
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2022, pp.drac001. ⟨10.1093/imanum/drac001⟩
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hal-01622540v3  Journal articles
Antonin ChambolleLuca Alberto Davide FerrariBenoît Merlet. Variational approximation of size-mass energies for k-dimensional currents
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2019, 25 (2019) (43), pp.39. ⟨10.1051/cocv/2018027⟩
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hal-01823135v3  Journal articles
Claire BoyerAntonin ChambolleYohann de CastroVincent DuvalFrédéric de Gournay et al.  On Representer Theorems and Convex Regularization
SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2019, 29 (2), pp.1260-1281. ⟨10.1137/18M1200750⟩
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hal-00381652v1  Journal articles
Antonin ChambolleAlessandro GiacominiMarcello Ponsiglione. Crack initiation in brittle materials.
Archive for Rational Mechanics and Analysis, 2008, 188 (2), pp.309-349. ⟨10.1007/s00205-007-0080-6⟩
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hal-02525796v2  Journal articles
Antonin ChambolleMatteo Novaga. Anisotropic and crystalline mean curvature flow of mean-convex sets
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, 23 (2), pp.623-643. ⟨10.2422/2036-2145.202005_009⟩
hal-02158833v1  Journal articles
Gregery BuzzardAntonin ChambolleJonathan CohenStacey LevineBradley Lucier. Pointwise Besov Space Smoothing of Images
Journal of Mathematical Imaging and Vision, Springer Verlag, 2019, 61 (1), pp.1-20. ⟨10.1007/s10851-018-0821-1⟩
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hal-01573936v1  Journal articles
Antonin ChambolleVito Crismale. A DENSITY RESULT IN $GSBD^p$ WITH APPLICATIONS TO THE APPROXIMATION OF BRITTLE FRACTURE ENERGIES
Archive for Rational Mechanics and Analysis, Springer Verlag, 2019, 232 (3), pp.1329--1378
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hal-01584963v2  Journal articles
Antonin ChambolleSergio ContiGilles A Francfort. Approximation of a Brittle Fracture Energy with a Constraint of Non-Interpenetration
Archive for Rational Mechanics and Analysis, Springer Verlag, 2018, 228 (3), pp.867-889. ⟨10.1007/s00205-017-1207-z⟩
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hal-01812888v1  Conference papers
Blaise BourdinAntonin Chambolle. Une méthode de champ de phase pour l'optimisation topologique
7e colloque national en calcul des structures, CSMA, May 2005, Giens, France
hal-02959423v1  Journal articles
Giovanni BellettiniAntonin ChambolleShokhrukh Kholmatov. Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, Royal Society of Edinburgh, 2020, 151 (4), pp.1135--1170. ⟨10.1017/prm.2020.53⟩
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hal-00490537v1  Journal articles
Antonin ChambolleGilles A. FrancfortJean-Jacques Marigo. Revisiting energy release rates in brittle fracture
Journal of Nonlinear Science, Springer Verlag, 2010, 20 (4), pp.395-424. ⟨10.1007/s00332-010-9061-2⟩
hal-00202010v1  Journal articles
Jean-François AujolGilles AubertLaure Blanc-FéraudAntonin Chambolle. Image decomposition. Application to SAR images.
Lecture Notes in Computer Science, Springer, 2003, Scale Space Methods in Computer Vision (2695), p. 297-312. ⟨10.1007/3-540-44935-3⟩
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hal-00779609v1  Journal articles
Giovanni BellettiniAntonin ChambolleMichael Goldman. The $\Gamma$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014
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hal-01099182v3  Journal articles
Antonin ChambolleThomas Pock. A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions.
SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2015, 1, pp.29 - 54. ⟨10.5802/smai-jcm.3⟩
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hal-02959358v2  Book sections
Antonin ChambolleThomas Pock. Approximating the Total Variation with Finite Differences or Finite Elements
Handbook of Numerical Analysis: Geometric Partial Differential Equations II, 22, pp.383--417, 2021, Handbook of Numerical Analysis: Geometric Partial Differential Equations II, ISSN 1570-8659. ⟨10.1016/bs.hna.2020.10.005⟩