Edit Profile (opens in new tab) Bretin, Elie Co-Author Distance Author ID: bretin.elie Published as: Bretin, Elie; Bretin, Élie; Bretin, E. more...less Documents Indexed: 38 Publications since 2011, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 41 Co-Authors with 38 Joint Publications 951 Co-Co-Authors all top 5 Co-Authors 0 single-authored 13 Masnou, Simon 9 Ammari, Habib 8 Wahab, Abdul Fatah 6 Garnier, Josselin 4 Oudet, Edouard 3 Denis, Roland 3 Millien, Pierre 3 Renard, Yves 3 Seppecher, Laurent 3 Terii, Garry 2 Bonnetier, Eric 2 Chapelat, Julien 2 Danescu, Alexandre 2 Jugnon, Vincent 2 Kang, Hyeonbae 2 Lachaud, Jacques-Olivier 2 Penuelas, José 2 Privat, Yannick 2 Sengers, Arnaud 1 Banjak, Hussein 1 Bergounioux, Maïtine 1 Bonnivard, Matthieu 1 Brassel, M. 1 Calatroni, Luca 1 Chambolle, Antonin 1 Dayrens, François 1 Feng, Yuemeng 1 Guadarrama Bustos, Lili 1 Homolle, Thomas M. M. 1 Huang, Chih-Kang 1 Jing, Wenjia 1 Lee, Hyundae 1 Lemenant, Antoine 1 Lontsi, Charlie Douanla 1 Lucas, Carine 1 Maxim, Voichiţa Teodora 1 Mekkaoui, Imen 1 Outtier, Pierre-Yves 1 Perrier, Valérie 1 Pousin, Jérôme Gabriel 1 Seo, Jin Keun all top 5 Serials 3 Mathematical Methods in the Applied Sciences 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM Journal on Imaging Sciences 2 Inverse Problems 2 Journal of Computational Physics 2 Numerische Mathematik 2 SIAM Journal on Applied Mathematics 2 Interfaces and Free Boundaries 1 Mathematics of Computation 1 SIAM Journal on Numerical Analysis 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Journal of Mathematical Imaging and Vision 1 Nonlinear Analysis. Real World Applications 1 Inverse Problems and Imaging 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Geometric Flows 1 SMAI Journal of Computational Mathematics 1 Princeton Series in Applied Mathematics all top 5 Fields 19 Partial differential equations (35-XX) 19 Numerical analysis (65-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Mechanics of deformable solids (74-XX) 7 Biology and other natural sciences (92-XX) 4 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Information and communication theory, circuits (94-XX) 2 Operator theory (47-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 315 times in 253 Documents Cited by ▼ Year ▼ A modified phase field approximation for mean curvature flow with conservation of the volume. Zbl 1235.49082 Brassel, M.; Bretin, E. 61 2011 Mathematical methods in elasticity imaging. Zbl 1332.35002 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Wahab, Abdul 59 2015 Photoacoustic imaging for attenuating acoustic media. Zbl 1345.92084 Ammari, Habib; Bretin, Elie; Jugnon, Vincent; Wahab, Abdul 24 2012 Phase-field approximations of the Willmore functional and flow. Zbl 1326.49018 Bretin, Elie; Masnou, Simon; Oudet, Édouard 20 2015 Localization, stability, and resolution of topological derivative based imaging functionals in elasticity. Zbl 1281.35085 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wahab, Abdul 19 2013 Time reversal in attenuating acoustic media. Zbl 1232.35189 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul 17 2011 Time-reversal algorithms in viscoelastic media. Zbl 1326.74068 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul 15 2013 Consistency result for a non monotone scheme for anisotropic mean curvature flow. Zbl 1254.35128 Bonnetier, Eric; Bretin, Elie; Chambolle, Antonin 13 2012 A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics. Zbl 1377.49045 Bretin, Elie; Masnou, Simon 13 2017 Coherent interferometry algorithms for photoacoustic imaging. Zbl 1262.65204 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jugnon, Vincent 10 2012 Regularization of discrete contour by Willmore energy. Zbl 1255.68212 Bretin, E.; Lachaud, J.-O.; Oudet, É. 9 2011 Volume reconstruction from slices. Zbl 1408.49044 Bretin, Elie; Dayrens, François; Masnou, Simon 9 2017 Noise source localization in an attenuating medium. Zbl 1239.35181 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul 8 2012 Multiphase mean curvature flows with high mobility contrasts: a phase-field approach, with applications to nanowires. Zbl 1395.65097 Bretin, Elie; Danescu, Alexandre; Penuelas, José; Masnou, Simon 7 2018 Phase-field modelling and computing for a large number of phases. Zbl 1421.49025 Bretin, Élie; Denis, Roland; Lachaud, Jacques-Olivier; Oudet, Édouard 6 2019 Approximation of surface diffusion flow: a second-order variational Cahn-Hilliard model with degenerate mobilities. Zbl 1492.74124 Bretin, Elie; Masnou, Simon; Sengers, Arnaud; Terii, Garry 5 2022 Numerical approximation of the Steiner problem in dimension 2 and 3. Zbl 1447.65055 Bonnivard, Matthieu; Bretin, Elie; Lemenant, Antoine 3 2020 Phase field method for mean curvature flow with boundary constraints. Zbl 1272.65057 Bretin, Elie; Perrier, Valerie 3 2012 How to position sensors in thermo-acoustic tomography. Zbl 1418.92068 Bergounioux, Maïtine; Bretin, Élie; Privat, Yannick 3 2019 Mathematical modeling in full-field optical coherence elastography. Zbl 1432.35239 Ammari, Habib; Bretin, Elie; Millien, Pierre; Seppecher, Laurent; Seo, Jin-Keun 2 2015 Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche’s method and cut finite elements. Zbl 1492.74128 Bretin, Elie; Chapelat, Julien; Outtier, Pierre-Yves; Renard, Yves 2 2022 A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only. Zbl 1471.35319 Ammari, Habib; Bretin, Elie; Millien, Pierre; Seppecher, Laurent 2 2021 On the Green function in visco-elastic media obeying a frequency power-law. Zbl 1213.35400 Bretin, E.; Guadarrama Bustos, L.; Wahab, A. 1 2011 A time reversal algorithm in acoustic media with Dirac measure approximations. Zbl 1388.35221 Bretin, Élie; Lucas, Carine; Privat, Yannick 1 2018 A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting. Zbl 07737664 Bretin, Elie; Denis, Roland; Masnou, Simon; Sengers, Arnaud; Terii, Garry 1 2023 Assessment of the effect of tissue motion in diffusion MRI: derivation of new apparent diffusion coefficient formula. Zbl 1395.74089 Bretin, Elie; Mekkaoui, Imen; Pousin, Jérôme 1 2018 A metric-based approach to multiphase mean curvature flows with mobilities. Zbl 1393.49031 Bretin, Elie; Danescu, Alexandre; Penuelas, José; Masnou, Simon 1 2018 A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting. Zbl 07737664 Bretin, Elie; Denis, Roland; Masnou, Simon; Sengers, Arnaud; Terii, Garry 1 2023 Approximation of surface diffusion flow: a second-order variational Cahn-Hilliard model with degenerate mobilities. Zbl 1492.74124 Bretin, Elie; Masnou, Simon; Sengers, Arnaud; Terii, Garry 5 2022 Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche’s method and cut finite elements. Zbl 1492.74128 Bretin, Elie; Chapelat, Julien; Outtier, Pierre-Yves; Renard, Yves 2 2022 A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only. Zbl 1471.35319 Ammari, Habib; Bretin, Elie; Millien, Pierre; Seppecher, Laurent 2 2021 Numerical approximation of the Steiner problem in dimension 2 and 3. Zbl 1447.65055 Bonnivard, Matthieu; Bretin, Elie; Lemenant, Antoine 3 2020 Phase-field modelling and computing for a large number of phases. Zbl 1421.49025 Bretin, Élie; Denis, Roland; Lachaud, Jacques-Olivier; Oudet, Édouard 6 2019 How to position sensors in thermo-acoustic tomography. Zbl 1418.92068 Bergounioux, Maïtine; Bretin, Élie; Privat, Yannick 3 2019 Multiphase mean curvature flows with high mobility contrasts: a phase-field approach, with applications to nanowires. Zbl 1395.65097 Bretin, Elie; Danescu, Alexandre; Penuelas, José; Masnou, Simon 7 2018 A time reversal algorithm in acoustic media with Dirac measure approximations. Zbl 1388.35221 Bretin, Élie; Lucas, Carine; Privat, Yannick 1 2018 Assessment of the effect of tissue motion in diffusion MRI: derivation of new apparent diffusion coefficient formula. Zbl 1395.74089 Bretin, Elie; Mekkaoui, Imen; Pousin, Jérôme 1 2018 A metric-based approach to multiphase mean curvature flows with mobilities. Zbl 1393.49031 Bretin, Elie; Danescu, Alexandre; Penuelas, José; Masnou, Simon 1 2018 A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics. Zbl 1377.49045 Bretin, Elie; Masnou, Simon 13 2017 Volume reconstruction from slices. Zbl 1408.49044 Bretin, Elie; Dayrens, François; Masnou, Simon 9 2017 Mathematical methods in elasticity imaging. Zbl 1332.35002 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Wahab, Abdul 59 2015 Phase-field approximations of the Willmore functional and flow. Zbl 1326.49018 Bretin, Elie; Masnou, Simon; Oudet, Édouard 20 2015 Mathematical modeling in full-field optical coherence elastography. Zbl 1432.35239 Ammari, Habib; Bretin, Elie; Millien, Pierre; Seppecher, Laurent; Seo, Jin-Keun 2 2015 Localization, stability, and resolution of topological derivative based imaging functionals in elasticity. Zbl 1281.35085 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wahab, Abdul 19 2013 Time-reversal algorithms in viscoelastic media. Zbl 1326.74068 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul 15 2013 Photoacoustic imaging for attenuating acoustic media. Zbl 1345.92084 Ammari, Habib; Bretin, Elie; Jugnon, Vincent; Wahab, Abdul 24 2012 Consistency result for a non monotone scheme for anisotropic mean curvature flow. Zbl 1254.35128 Bonnetier, Eric; Bretin, Elie; Chambolle, Antonin 13 2012 Coherent interferometry algorithms for photoacoustic imaging. Zbl 1262.65204 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jugnon, Vincent 10 2012 Noise source localization in an attenuating medium. Zbl 1239.35181 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul 8 2012 Phase field method for mean curvature flow with boundary constraints. Zbl 1272.65057 Bretin, Elie; Perrier, Valerie 3 2012 A modified phase field approximation for mean curvature flow with conservation of the volume. Zbl 1235.49082 Brassel, M.; Bretin, E. 61 2011 Time reversal in attenuating acoustic media. Zbl 1232.35189 Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul 17 2011 Regularization of discrete contour by Willmore energy. Zbl 1255.68212 Bretin, E.; Lachaud, J.-O.; Oudet, É. 9 2011 On the Green function in visco-elastic media obeying a frequency power-law. Zbl 1213.35400 Bretin, E.; Guadarrama Bustos, L.; Wahab, A. 1 2011 all cited Publications top 5 cited Publications all top 5 Cited by 416 Authors 18 Bretin, Elie 14 Ammari, Habib 11 Kim, Junseok 11 Li, Peijun 10 Wahab, Abdul Fatah 9 Masnou, Simon 8 Liu, Hongyu 7 Hu, Guanghui 7 Yang, Junxiang 6 Lai, Jun 6 Lee, Hyun Geun 6 Nguyen, Loc Hoang 6 Ren, Kui 6 Weng, Zhifeng 6 Zhai, Shuying 5 Bao, Gang 5 Li, Hongjie 5 Oudet, Edouard 5 Seppecher, Laurent 4 Aspri, Andrea 4 Dong, Heping 4 Esedoglu, Selim 4 Garnier, Josselin 4 Huang, Ziyang 4 Jaiman, Rajeev Kumar 4 Millien, Pierre 4 Qian, Xu 4 Song, Songhe 4 Triki, Faouzi 4 Zhang, Hong 3 Ardekani, Arezoo M. 3 Assous, Franck 3 Beretta, Elena 3 Bergounioux, Maïtine 3 Bogoşel, Beniamin 3 Choi, Yongho 3 Demirkol, Ridvan Cem 3 Denis, Roland 3 Dondl, Patrick Werner 3 Gong, Yuezheng 3 Haltmeier, Markus 3 Kian, Yavar 3 Korpinar, Talat 3 Lachaud, Jacques-Olivier 3 Laux, Tim 3 Li, Jianliang 3 Lin, Guang 3 Liu, Xiaodong 3 Mao, Xiaoyu 3 Novotny, Antonio André 3 Privat, Yannick 3 Scherzer, Otmar 3 Sengers, Arnaud 3 Sini, Mourad 3 Sokołowski, Jan 3 Terii, Garry 3 Wang, Xianchao 3 Wojtowytsch, Stephan 3 Yan, JingYe 3 Ye, Jong Chul 3 Yin, Tao 2 Bonafini, Mauro 2 Bonnet, Marc 2 Challa, Durga Prasad 2 Cherfils, Laurence 2 Cui, Chen 2 Dai, Weizhong 2 Danescu, Alexandre 2 Dayrens, François 2 Grote, Marcus J. 2 Hong, Qi 2 Jacobs, Matthew 2 Joshi, Vaibhav 2 Ju, Lili 2 Kaltenbacher, Barbara 2 Kang, Hyeonbae 2 Klibanov, Michael V. 2 Kray, Marie 2 Kwak, Soobin 2 Lee, Chaeyoung 2 Lee, Dongsun 2 Lee, June-Yub 2 Mani, Ali 2 Miranville, Alain M. 2 Mirjalili, Shahab 2 Mo, Yuchang 2 Nataf, Frédéric 2 Nawaz, Rab 2 Novaga, Matteo 2 Ortega, Jaime H. 2 Otto, Felix 2 Pardo, David 2 Penuelas, José 2 Röger, Matthias 2 Seo, Jin Keun 2 Shin, Jaemin 2 Stinner, Bjorn 2 Sun, Jiguang 2 Švadlenka, Karel 2 Takasao, Keisuke ...and 316 more Authors all top 5 Cited in 86 Serials 30 Journal of Computational Physics 18 Inverse Problems 11 SIAM Journal on Imaging Sciences 9 SIAM Journal on Applied Mathematics 8 Computers & Mathematics with Applications 8 Inverse Problems and Imaging 7 Mathematical Methods in the Applied Sciences 6 Journal of Differential Equations 6 Communications in Nonlinear Science and Numerical Simulation 5 Archive for Rational Mechanics and Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Computational and Applied Mathematics 5 Applied Mathematics Letters 5 Journal of Scientific Computing 5 SIAM Journal on Mathematical Analysis 5 Journal of Mathematical Imaging and Vision 5 Interfaces and Free Boundaries 4 SIAM Journal on Numerical Analysis 3 Computers and Fluids 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Applied Numerical Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 Journal of Elasticity 3 Calculus of Variations and Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applicable Analysis 2 Applied Mathematics and Optimization 2 Journal of Optimization Theory and Applications 2 Numerische Mathematik 2 Numerical Methods for Partial Differential Equations 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Inverse Problems in Science and Engineering 2 Networks and Heterogeneous Media 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Systems & Control Letters 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Vibration and Control 1 Honam Mathematical Journal 1 Journal of Mathematical Fluid Mechanics 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mathematical Biosciences and Engineering 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 MathematicS In Action 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Geometric Flows 1 Annals of Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Actes des Rencontres du C.I.R.M. 1 SMAI Journal of Computational Mathematics 1 Electronic Research Archive all top 5 Cited in 33 Fields 161 Partial differential equations (35-XX) 126 Numerical analysis (65-XX) 74 Mechanics of deformable solids (74-XX) 42 Fluid mechanics (76-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 28 Biology and other natural sciences (92-XX) 25 Optics, electromagnetic theory (78-XX) 18 Differential geometry (53-XX) 14 Information and communication theory, circuits (94-XX) 11 Integral equations (45-XX) 9 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year