Edit Profile (opens in new tab) Caubet, Fabien Co-Author Distance Author ID: caubet.fabien Published as: Caubet, Fabien Documents Indexed: 24 Publications since 2011, including 2 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 22 Joint Publications 537 Co-Co-Authors all top 5 Co-Authors 2 single-authored 8 Dambrine, Marc 5 Bourdin, Loïc 3 Adly, Samir 3 Dardé, Jérémi 3 Kateb, Djalil M. 2 Badra, Mehdi 2 Ghantous, Joyce 2 Godoy, Matías 2 Jacob de Cordemoy, Aymeric 2 Mahadevan, Rajesh 2 Pierre, Charles 1 Bonnelie, Pierre 1 Conca, Carlos 1 Deheuvels, Thibaut 1 Haddar, Houssem 1 Harbrecht, Helmut 1 Le Louër, Frédérique 1 Li, Jing-Rebecca 1 Nguyen, Dang Van 1 Privat, Yannick 1 Ruatta, Olivier 1 Timimoun, Chahnaz Zakia all top 5 Serials 3 Inverse Problems 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Inverse Problems and Imaging 1 Applied Mathematics and Optimization 1 Journal of Optimization Theory and Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Optimization 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SMAI Journal of Computational Mathematics all top 5 Fields 17 Calculus of variations and optimal control; optimization (49-XX) 14 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 2 Biology and other natural sciences (92-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 158 times in 108 Documents Cited by ▼ Year ▼ Detecting an obstacle immersed in a fluid by shape optimization methods. Zbl 1239.35182 Badra, Mehdi; Caubet, Fabien; Dambrine, Marc 24 2011 Localization of small obstacles in Stokes flow. Zbl 1253.76030 Caubet, Fabien; Dambrine, Marc 22 2012 On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives. Zbl 1350.49050 Caubet, Fabien; Conca, Carlos; Godoy, Matías 20 2016 A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid. Zbl 1266.49076 Caubet, Fabien; Dambrine, Marc; Kateb, Djalil; Timimoun, Chahnaz Zakia 19 2013 Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions. Zbl 1292.65069 Caubet, Fabien; Dambrine, Marc; Kateb, Djalil 14 2013 Optimal location of resources for biased movement of species: the 1D case. Zbl 1378.49055 Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick 11 2017 Instability of an inverse problem for the stationary Navier-Stokes equations. Zbl 1291.35439 Caubet, Fabien 8 2013 A dual approach to Kohn-Vogelius regularization applied to data completion problem. Zbl 1469.35249 Caubet, Fabien; Dardé, Jérémi 6 2020 On a decomposition formula for the proximal operator of the sum of two convex functions. Zbl 1431.46055 Adly, Samir; Bourdin, Loïc; Caubet, Fabien 5 2019 Stability estimates for Navier-Stokes equations and application to inverse problems. Zbl 1348.35310 Badra, Mehdi; Caubet, Fabien; Dardé, Jérémi 5 2016 Stability of critical shapes for the drag minimization problem in Stokes flow. Zbl 1278.49048 Caubet, Fabien; Dambrine, Marc 5 2013 Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type – application to compliance minimization. Zbl 1428.35573 Caubet, Fabien; Kateb, Djalil; Le Louër, Frédérique 5 2019 New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI. Zbl 1378.35309 Caubet, Fabien; Haddar, Houssem; Li, Jing-Rebecca; van Nguyen, Dang 4 2017 On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation. Zbl 1445.35325 Caubet, Fabien; Dardé, Jérémi; Godoy, Matías 3 2019 A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438 Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut 2 2019 Shape derivative for some eigenvalue functionals in elasticity theory. Zbl 1460.49032 Caubet, Fabien; Dambrine, Marc; Mahadevan, Rajesh 2 2021 Sensitivity analysis of a Tresca-type problem leads to Signorini’s conditions. Zbl 1490.49032 Adly, Samir; Bourdin, Loïc; Caubet, Fabien 1 2022 Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca’s friction law. Zbl 1484.49070 Bourdin, Loïc; Caubet, Fabien; Jacob de Cordemoy, Aymeric 1 2022 Shape sensitivity of eigenvalue functionals for scalar problems: computing the semi-derivative of a minimum. Zbl 1492.49040 Caubet, Fabien; Dambrine, Marc; Mahadevan, Rajesh 1 2022 Sensitivity analysis of a Tresca-type problem leads to Signorini’s conditions. Zbl 1490.49032 Adly, Samir; Bourdin, Loïc; Caubet, Fabien 1 2022 Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca’s friction law. Zbl 1484.49070 Bourdin, Loïc; Caubet, Fabien; Jacob de Cordemoy, Aymeric 1 2022 Shape sensitivity of eigenvalue functionals for scalar problems: computing the semi-derivative of a minimum. Zbl 1492.49040 Caubet, Fabien; Dambrine, Marc; Mahadevan, Rajesh 1 2022 Shape derivative for some eigenvalue functionals in elasticity theory. Zbl 1460.49032 Caubet, Fabien; Dambrine, Marc; Mahadevan, Rajesh 2 2021 A dual approach to Kohn-Vogelius regularization applied to data completion problem. Zbl 1469.35249 Caubet, Fabien; Dardé, Jérémi 6 2020 On a decomposition formula for the proximal operator of the sum of two convex functions. Zbl 1431.46055 Adly, Samir; Bourdin, Loïc; Caubet, Fabien 5 2019 Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type – application to compliance minimization. Zbl 1428.35573 Caubet, Fabien; Kateb, Djalil; Le Louër, Frédérique 5 2019 On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation. Zbl 1445.35325 Caubet, Fabien; Dardé, Jérémi; Godoy, Matías 3 2019 A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438 Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut 2 2019 Optimal location of resources for biased movement of species: the 1D case. Zbl 1378.49055 Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick 11 2017 New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI. Zbl 1378.35309 Caubet, Fabien; Haddar, Houssem; Li, Jing-Rebecca; van Nguyen, Dang 4 2017 On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives. Zbl 1350.49050 Caubet, Fabien; Conca, Carlos; Godoy, Matías 20 2016 Stability estimates for Navier-Stokes equations and application to inverse problems. Zbl 1348.35310 Badra, Mehdi; Caubet, Fabien; Dardé, Jérémi 5 2016 A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid. Zbl 1266.49076 Caubet, Fabien; Dambrine, Marc; Kateb, Djalil; Timimoun, Chahnaz Zakia 19 2013 Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions. Zbl 1292.65069 Caubet, Fabien; Dambrine, Marc; Kateb, Djalil 14 2013 Instability of an inverse problem for the stationary Navier-Stokes equations. Zbl 1291.35439 Caubet, Fabien 8 2013 Stability of critical shapes for the drag minimization problem in Stokes flow. Zbl 1278.49048 Caubet, Fabien; Dambrine, Marc 5 2013 Localization of small obstacles in Stokes flow. Zbl 1253.76030 Caubet, Fabien; Dambrine, Marc 22 2012 Detecting an obstacle immersed in a fluid by shape optimization methods. Zbl 1239.35182 Badra, Mehdi; Caubet, Fabien; Dambrine, Marc 24 2011 all cited Publications top 5 cited Publications all top 5 Cited by 168 Authors 12 Hassine, Maatoug 10 Caubet, Fabien 9 Dambrine, Marc 8 Hrizi, Mourad 4 Abdelwahed, Mohamed 4 Carpio, Ana 4 Chorfi, Nejmeddine 4 Dardé, Jérémi 4 Le Louër, Frédérique 4 Mazari-Fouquer, Idriss 4 Novotny, Antonio André 3 Bourdin, Loïc 3 Dimiduk, Thomas G. 3 Ghezaiel, Emna 3 Harbrecht, Helmut 3 Malek, Rakia 3 Rapún, María-Luisa 2 Adly, Samir 2 Afraites, Lekbir 2 Aragón Artacho, Francisco Javier 2 Ben Abda, Amel 2 Ben Belgacem, Faker 2 Bourgeois, Laurent 2 Bucataru, Mihai 2 Burman, Erik 2 Campoy, Rubén 2 Cocquet, Pierre-Henri 2 Gazzola, Filippo 2 Girault, Vivette 2 Godoy, Matías 2 Hou, Jiangyong 2 Jelassi, Faten 2 Kateb, Djalil M. 2 Kumar, Pardeep 2 Lamboley, Jimmy 2 Liu, Shuang 2 Lou, Yuan 2 Mahadevan, Rajesh 2 Marin, Liviu 2 Méjri, Bochra 2 Mohan, Manil Thankamani 2 Nadin, Grégoire 2 Prakash, Ravi 2 Puig, Bénédicte 2 Rabago, Julius Fergy Tiongson 2 Selgas, Virginia 2 Sperone, Gianmarco 2 Vieira, Alexandre 2 Wen, Zhiyuan 2 Yan, Wenjing 1 Abdallaoui, Athmane 1 Aguayo, Jorge 1 Ahmed, Elyes 1 Ammari, Habib 1 Antwi-Fordjour, Kwadwo 1 Aspri, Andrea 1 Auvray, Alexis 1 Azegami, Hideyuki 1 Bastide, Alain 1 Bektemesov, Maktagali A. 1 Benmeghnia, Naima 1 Beretta, Elena 1 Berkani, Amirouche 1 Bintz, Jason 1 Blauth, Sebastian 1 Bonheure, Denis 1 Bonnelie, Pierre 1 Bornhofen, Stefan 1 Bouchon, François 1 Boulakia, Muriel 1 Boussel, L. 1 Cavaterra, Cecilia 1 Chakib, Abdelkrim 1 Chaouch, Sana 1 Chaplain, Mark A. J. 1 Chen, Qun 1 Cîmpean, Iulian 1 Conca, Carlos 1 Corbo Esposito, Antonio 1 Dalphin, Jérémy 1 Daveau, Christian 1 Delfour, Michel Claude 1 Dhif, R. 1 Doron, Lior 1 Dzhenaliev, Muvasharkhan Tanabaevich 1 Faella, Luisa 1 Feppon, Florian 1 Fernández-Cara, Enrique 1 Fernández, Miguel Ángel 1 Gao, Zhiming 1 Giverso, Chiara 1 Gong, Rongfang 1 Grad, Sorin-Mihai 1 Hansbo, Peter 1 Höfer, Richard M. 1 Horsin, Thierry 1 Huang, Qin 1 Iakunin, Sergei 1 Ivanyshyn, Olha 1 Jacob de Cordemoy, Aymeric ...and 68 more Authors all top 5 Cited in 63 Serials 8 Inverse Problems 5 Applied Mathematics and Optimization 5 SIAM Journal on Applied Mathematics 5 Inverse Problems in Science and Engineering 4 Journal of Inverse and Ill-Posed Problems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Inverse Problems and Imaging 3 Journal of Mathematical Analysis and Applications 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Control and Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Archive for Rational Mechanics and Analysis 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Asymptotic Analysis 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Boundary Value Problems 2 SIAM Journal on Imaging Sciences 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Global Optimization 1 Numerical Algorithms 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Potential Analysis 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Biological Systems 1 Applied Mathematics E-Notes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Banach Journal of Mathematical Analysis 1 Advances in Mathematical Physics 1 Advances in Nonlinear Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Elliptic and Parabolic Equations 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 SMAI Journal of Computational Mathematics 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 22 Fields 79 Partial differential equations (35-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 40 Numerical analysis (65-XX) 31 Fluid mechanics (76-XX) 21 Mechanics of deformable solids (74-XX) 10 Biology and other natural sciences (92-XX) 7 Optics, electromagnetic theory (78-XX) 6 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Potential theory (31-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year