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A convex approach to the Gilbert-Steiner problem

 Mauro Bonafini , Edouard Oudet
2019
Pré-publication, Document de travail hal-02009425v1
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Partitions of Minimal Length on Manifolds

 Beniamin Bogosel , Edouard Oudet
Experimental Mathematics, 2017, 26 (4), pp.496-508. ⟨10.1080/10586458.2016.1223570⟩
Article dans une revue hal-02009469v1
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Discrete optimal transport: complexity, geometry and applications

 Quentin Mérigot , Edouard Oudet
Discrete and Computational Geometry, 2016, 55 (2), pp.263-283. ⟨10.1007/s00454-016-9757-7⟩
Article dans une revue hal-00980195v1
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Qualitative and Numerical Analysis of a Spectral Problem with Perimeter Constraint

 Beniamin Bogosel , Edouard Oudet
SIAM Journal on Control and Optimization, 2016, 54 (1), pp.317-340. ⟨10.1137/140999530⟩
Article dans une revue hal-02009510v1
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Handling convexity-like constraints in variational problems

 Quentin Mérigot , Edouard Oudet
SIAM Journal on Numerical Analysis, 2014, 52 (5), pp.2466-2487. ⟨10.1137/130938359⟩
Article dans une revue hal-00957427v2
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Longest minimal length partitions

 Beniamin Bogosel , Edouard Oudet
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2022, 24 (1), pp.95-135. ⟨10.4171/IFB/468⟩
Article dans une revue hal-03132237v2
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Large volume minimizers of a non-local isoperimetric problem: theoretical and numerical approaches

 François Générau , Edouard Oudet
SIAM Journal on Mathematical Analysis, 2018, 50 (3), pp.3427-3450. ⟨10.1137/17M1139400⟩
Article dans une revue hal-02009431v1
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Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries

 Pedro Antunes , Edouard Oudet
SIAM Journal on Scientific Computing, 2017, 39 (3), pp.B508-B521. ⟨10.1137/16M1083773⟩
Article dans une revue hal-02009467v1
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Numerical computation of the cut locus via a variational approximation of the distance function

 François Générau , Edouard Oudet , Bozhidar Velichkov
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (1), pp.105-120. ⟨10.1051/m2an/2021088⟩
Article dans une revue hal-03560972v1
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Variational Approximation of Functionals Defined on 1-dimensional Connected Sets: The Planar Case

 Mauro Bonafini , Giandomenico Orlandi , Edouard Oudet
SIAM Journal on Mathematical Analysis, 2018, 50 (6), pp.6307-6332. ⟨10.1137/17M1159452⟩
Article dans une revue hal-02009439v1
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Numerical methods for matching for teams and Wasserstein barycenters

 Guillaume Carlier , Adam Oberman , Edouard Oudet
ESAIM: Mathematical Modelling and Numerical Analysis, 2015, Special Issue - Optimal Transport, 49 (6), pp.1621-1642. ⟨10.1051/m2an/2015033⟩
Article dans une revue hal-00987292v1
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A free boundary problem arising in PDE optimization

 Giuseppe Buttazzo , Edouard Oudet , Bozhidar Velichkov
Calculus of Variations and Partial Differential Equations, 2015, 54 (4), pp.3829-3856. ⟨10.1007/s00526-015-0923-1⟩
Article dans une revue hal-02009504v1

Phase-field models for the approximation of the Willmore functional and flow

 Elie Bretin , Simon Masnou , Edouard Oudet
ESAIM: ProcS. Congrès SMAI 2013, 45, pp.118-127, 2014, ⟨10.1051/proc/201445012⟩
Chapitre d'ouvrage hal-02141379v1
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Optimal Transport with Proximal Splitting

 Nicolas Papadakis , Gabriel Peyré , Edouard Oudet
SIAM Journal on Imaging Sciences, 2014, 7 (1), pp.212-238. ⟨10.1137/130920058⟩
Article dans une revue hal-00816211v2
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On the numerical approximation of Blaschke-Santalo diagrams using Centroidal Voronoi Tessellations

 Beniamin Bogosel , Giuseppe Buttazzo , Edouard Oudet
ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (1), pp.393-420. ⟨10.1051/m2an/2023092⟩
Article dans une revue hal-03966754v1
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Optimization of the shape of regions supporting boundary conditions

 Charles Dapogny , Nicolas Lebbe , Edouard Oudet
Numerische Mathematik, 2020, 146, pp.51-104. ⟨10.1007/s00211-020-01140-0⟩
Article dans une revue hal-02064477v1
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Numerical Calibration of Steiner trees

 Annalisa Massaccesi , Edouard Oudet , Bozhidar Velichkov
Applied Mathematics and Optimization, 2019, 79 (1), pp.69-86. ⟨10.1007/s00245-017-9421-5⟩
Article dans une revue hal-01304644v1
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Phase-field approximations of the Willmore functional and flow

 Elie Bretin , Simon Masnou , Edouard Oudet
Numerische Mathematik, 2015, 131 (1), pp.115 - 171. ⟨10.1007/s00211-014-0683-4⟩
Article dans une revue hal-00825393v2
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Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems

 Edouard Oudet , Chiu-Yen Kao , Braxton Osting
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.34. ⟨10.1051/cocv/2021033⟩
Article dans une revue hal-03214182v1
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Newton’s aerodynamic for non-convex bodies

 Edoardo Mainini , Manuel Monteverde , Edouard Oudet , Danilo Percivale
Rendiconti Lincei. Matematica e Applicazioni, 2017, 28 (4), pp.885-896. ⟨10.4171/RLM/790⟩
Article dans une revue hal-02009453v1

Minimal Dirichlet energy partitions for graphs

 Braxton Osting , Chris D. White , Edouard Oudet
SIAM Journal on Scientific Computing, 2014, 36 (4), pp.A1635-A1651. ⟨10.1137/130934568⟩
Article dans une revue hal-00978056v1
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A graph space optimal transport misfit measurement for FWI: auction algorithm, application to the 2D Valhall case study

 Ludovic Métivier , Romain Brossier , Quentin Merigot , Edouard Oudet
81st EAGE Conference and Exhibition 2019, Jun 2019, London, United Kingdom. ⟨10.3997/2214-4609.201900870⟩
Communication dans un congrès hal-02325655v1

An optimal transport distance for full-waveform inversion: Application to the 2014 Chevron benchmark data set

 Ludovic Métivier , Romain Brossier , Edouard Oudet , Quentin Mérigot , Jean Virieux
SEG Technical Program Expanded Abstracts 2016, Oct 2016, Dallas, United States. pp.1278-1283, ⟨10.1190/segam2016-13870096.1⟩
Communication dans un congrès hal-02009564v1

An optimal transport approach for seismic tomography: application to 3D full waveform inversion

 Ludovic Métivier , Romain Brossier , Quentin Merigot , Edouard Oudet , Jean Virieux
Inverse Problems, 2016, 32 (11), pp.115008:1-36. ⟨10.1088/0266-5611/32/11/115008⟩
Article dans une revue hal-01499535v1
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Multiphysics optimal transportation and image analysis

 Afaf Bouharguane , Emmanuel Maitre , Edouard Oudet , Nicolas Papadakis
2012
Pré-publication, Document de travail hal-00740671v1
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A graph space optimal transport distance as a generalization of Lp distances: application to a seismic imaging inverse problem

 Ludovic Métivier , Romain Brossier , Quentin Merigot , Edouard Oudet
Inverse Problems, 2019, 35 (8), pp.085001. ⟨10.1088/1361-6420/ab206f⟩
Article dans une revue hal-02325618v1

Méthodes numériques pour le transport optimal: application en analyse d'image

 Afaf Bouharguane , Emmanuel Maitre , Edouard Oudet , Nicolas Papadakis
CANUM 2012 - Congrès National d'Analyse Numérique, May 2012, Superbesse, France
Communication dans un congrès hal-00748924v1

Overcoming Cycle Skipping in FWI - An Optimal Transport Approach

 Ludovic Métivier , Romain Brossier , Quentin Mérigot , Edouard Oudet , Jean Virieux
78th EAGE Conference and Exhibition 2016, May 2016, Vienna, Austria. ⟨10.3997/2214-4609.201601534⟩
Communication dans un congrès hal-02009559v1
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Phase-field modelling and computing for a large number of phases

 Elie Bretin , Roland Denis , Jacques-Olivier Lachaud , Edouard Oudet
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (3), pp.805 - 832. ⟨10.1051/m2an/2018075⟩
Article dans une revue hal-01628403v1
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Optimal Experimental Design in Full Waveform Inversion

 Mohamed Amine Abdellaziz , Romain Brossier , Ludovic Métivier , Edouard Oudet
84th EAGE Annual Conference & Exhibition, Jun 2023, Vienne, Austria. pp.1-5, ⟨10.3997/2214-4609.202310605⟩
Communication dans un congrès hal-04278865v1
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