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Approximation of multiphase mean curvature flows with arbitrary nonnegative mobilities

Eric Bonnetier , Elie Bretin , Simon Masnou
Mathematical Methods in the Applied Sciences, 2023, 46 (9), pp.11262-11282. ⟨10.1002/mma.9180⟩
Article dans une revue hal-04135012v1

Assessment of the effect of tissue motion in diffusion MRI: Derivation of new apparent diffusion coefficient formula

Elie Bretin , Imen Mekkaoui , Jérome Pousin
Inverse Problems and Imaging , 2018, 12 (1), pp.125 - 152. ⟨10.3934/ipi.2018005⟩
Article dans une revue hal-01866882v1
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Stable IMEX schemes for a Nitsche-based approximation of elastodynamic contact problems. Selective mass scaling interpretatioń

Elie Bretin , Yves Renard
2020
Pré-publication, Document de travail hal-02484457v1
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Reconstructing the shear modulus contrast of linear elastic and isotropic media in quasi-static ultrasound elastography

Elisabeth Brusseau , Lorena Petrusca , Elie Bretin , Pierre Millien , Laurent Seppecher
43rd Annual International Conference of the IEEE EMBS, 2021, Guadalajara (en ligne), Mexico. pp.3171-3174, ⟨10.1109/EMBC46164.2021.9630973⟩
Communication dans un congrès hal-03415272v1
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Multiphase mean curvature flows with high mobility contrasts: A phase-field approach, with applications to nanowires

Elie Bretin , Alexandre Danescu , Jose Penuelas , Simon Masnou
Journal of Computational Physics, 2018, 365, pp.324 - 349. ⟨10.1016/j.jcp.2018.02.051⟩
Article dans une revue hal-01866856v1
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How to position sensors in thermo-acoustic tomography?

Maïtine Maïtine Bergounioux , Elie Bretin , Yannick Privat
Inverse Problems, 2019, 35 (7), pp.074003. ⟨10.1088/1361-6420/ab0e4d⟩
Article dans une revue hal-01874889v2

Tomographic reconstruction from Poisson distributed data: a fast and convergent EM-TV dual approach

Voichiţa Maxim , Yuemeng Feng , Hussein Banjak , Elie Bretin
Numerical Algorithms, 2023, ⟨10.1007/s11075-023-01517-w⟩
Article dans une revue hal-04134998v1

A modified phase field approximation for mean curvature flow with conservation of the volume

Morgan Brassel , Elie Bretin
Mathematical Methods in the Applied Sciences, 2011, 34 (10), pp.1157 - 1180. ⟨10.1002/mma.1426⟩
Article dans une revue istex hal-00749638v2
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Mapping the relative shear modulus within biological tissues from internal displacement fields measured in quasi-static ultrasound elastography

Elisabeth Brusseau , Lorena Petrusca , Elie Bretin , Pierre Millien , Laurent Seppecher
10th International Conference 'Inverse Problems: Modeling and Simulation' (IPMS-2022), The Eurasian Association on Inverse Problems (EAIP), May 2022, Mellieha, Malta
Communication dans un congrès hal-03793238v1

Stable IMEX schemes for a Nitsche-based approximation of elastodynamic contact problems. Selective mass scaling interpretation

Élie Bretin , Yves Renard
SMAI Journal of Computational Mathematics, 2020, 6, pp.159-185. ⟨10.5802/smai-jcm.65⟩
Article dans une revue hal-04010907v1

Dual approach for TV-regularized Maximum Likelihood Expectation Maximization in tomography with Poisson data

Voichita Maxim , Elie Bretin
ICIAM, Jul 2019, Valencia, Spain
Communication dans un congrès hal-02359496v1
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Reconstructing the spatial distribution of the relative shear modulus in quasi-static ultrasound elastography: plane stress analysis

L. Seppecher , Elie Bretin , Pierre Millien , Lorena Petrusca , Elisabeth Brusseau
Ultrasound in Medicine & Biology, 2023, 49 (3), pp.710-722. ⟨10.1016/j.ultrasmedbio.2022.09.023⟩
Article dans une revue hal-03613604v2

Consistency result for a non monotone scheme for anisotropic mean curvature flow

Eric Bonnetier , Elie Bretin , Antonin Chambolle
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2012, 14 (1), pp.1-35. ⟨10.4171/IFB/272⟩
Article dans une revue hal-00748056v1

Volume Reconstruction from Slices

Elie Bretin , François Dayrens , Simon Masnou
SIAM Journal on Imaging Sciences, 2017, 10 (4), pp.2326 - 2358. ⟨10.1137/17M1116283⟩
Article dans une revue hal-01866864v1
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Shape sensitivity analysis of an elastic contact problem: convergence of the Nitsche based finite element approximation

Élie Bretin , Julien Chapelat , Charlie Douanla-Lontsi , Thomas Homolle , Yves Renard
2023
Pré-publication, Document de travail hal-03936245v1

Convergence d'un nouvel algorithme pour les mouvements par courbure moyenne anisotrope

Elie Bretin , Eric Bonnetier , Valérie Perrier
CANUM 2008 - 39ème Congrès National d'Analyse Numérique, May 2008, Saint Jean de Monts, France
Communication dans un congrès hal-00750532v1

Mathematical Modeling in Full-Field Optical Coherence Elastography

Elie Bretin , Habib Ammari , Pierre Millien , Laurent Seppecher , Jin-Keun Seo
SIAM Journal on Applied Mathematics, 2015, 75 (3), pp.1015 - 1030. ⟨10.1137/140970409⟩
Article dans une revue hal-01866873v1
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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

Coherent Interferometry Algorithms for Photoacoustic Imaging

Habib Ammari , Elie Bretin , Josselin Garnier , Vincent Jugnon
SIAM Journal on Numerical Analysis, 2012, 50 (5), pp.2259 - 2280. ⟨10.1137/100814275⟩
Article dans une revue hal-01866911v1
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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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Approximate Bayesian denoising for deep image reconstruction in the presence of signal-dependent noise

Luis Amador , Laurent Mahieu-Williame , Elie Bretin , Nicolas Ducros
XXIXème Colloque Francophone de Traitement du Signal et des Images (GRETSI'23), Aug 2023, Grenoble, France
Communication dans un congrès hal-03639347v2

Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities

Elie Bretin , Simon Masnou , Arnaud Sengers , Garry Terii
Mathematical Models and Methods in Applied Sciences, 2022, 32 (04), pp.793-829. ⟨10.1142/S0218202522500178⟩
Article dans une revue hal-04010902v1
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Dynamic Single-Pixel Imaging on an Extended Field of View without Warping the Patterns

Thomas Maitre , Elie Bretin , Romain Phan , Nicolas Ducros , Michaël Sdika
2024
Pré-publication, Document de travail hal-04533981v1

A mobility-SAV approach for a Cahn-Hilliard equation with degenerate mobilities

Elie Bretin , Luca Calatroni , Simon Masnou
Discrete and Continuous Dynamical Systems - Series S, 2023, ⟨10.3934/dcdss.2023177⟩
Article dans une revue hal-04294086v1

Efficiency of TV-regularized algorithms in computed tomography with Poisson-Gaussian noise

Theo Leuliet , Louise Friot–giroux , Walid Baaziz , Elie Bretin , Ovidiu Ersen , et al.
2020 28th European Signal Processing Conference (EUSIPCO), Jan 2021, Amsterdam, Netherlands. pp.1294-1298, ⟨10.23919/Eusipco47968.2020.9287762⟩
Communication dans un congrès hal-03447989v1
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Optimisation de forme géométrique multi-critère et multi-chargement d'une structure non linéaire complexe : le pneumatique sans air.

Elie Bretin , Julien Chapelat , Yves Renard
15ème colloque national en calcul des structures, Université Polytechnique Hauts-de-France [UPHF], May 2022, 83400 Hyères-les-Palmiers, France
Communication dans un congrès hal-03717675v1
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Transient Anomaly Imaging in Visco-Elastic Media Obeying a Frequency Power-Law

Elie Bretin , Lili Guadarrama Bustos , Abdul Wahab
2010
Pré-publication, Document de travail hal-00487746v1
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A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting

Elie Bretin , Roland Denis , Simon Masnou , Arnaud Sengers , Garry Terii
ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (3), pp.1473-1509. ⟨10.1051/m2an/2023023⟩
Article dans une revue hal-04100984v1
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Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche's method and cut finite elements

Elie Bretin , Julien Chapelat , Pierre-Yves Outtier , Yves Renard
2021
Pré-publication, Document de travail hal-03474280v1

On the Green function in visco-elastic media obeying a frequency power-law

Elie Bretin , L. Guadarrama Bustos , A. Wahab
Mathematical Methods in the Applied Sciences, 2011, 34 (7), pp.819 - 830. ⟨10.1002/mma.1404⟩
Article dans une revue hal-01866901v1