Edit Profile (opens in new tab) Merlet, Benoît Co-Author Distance Author ID: merlet.benoit Published as: Merlet, Benoît; Merlet, Benoit; Merlet, B. more...less External Links: MGP Documents Indexed: 42 Publications since 2004, including 8 Additional arXiv Preprints Co-Authors: 37 Co-Authors with 37 Joint Publications 995 Co-Co-Authors all top 5 Co-Authors 5 single-authored 11 Goldman, Michael 5 Alouges, François 4 Chainais-Hillairet, Claire 3 Chambolle, Antonin 3 Ferrari, Luca Alberto Davide 3 Lefebvre-Lepot, Aline 3 Pegon, Marc 3 Pierre, Morgan 3 Zurek, Antoine 2 Ignat, Radu 2 Nguyen, Thanh-Nhan 2 Venel, Juliette 1 Antonietti, Paola Francesca 1 Audusse, Emmanuel 1 Augier, Adeline 1 Boudin, Laurent 1 Boutin, Benjamin 1 Cancès, Clément 1 Candau-Tilh, Jules 1 de Bouard, Anne 1 DeSimone, Antonio 1 Di Fratta, Giovanni 1 Dreyfuss, Pierre 1 Fornet, Bruno 1 Goudon, Thierry 1 Graille, Benjamin 1 Heltai, Luca 1 Lafitte, Pauline 1 Lagoutière, Frédéric 1 Millot, Vincent 1 Nicolas, Léa 1 Paumond, Lionel 1 Raimondi, Federica 1 Serfaty, Sylvia 1 Vasseur, Alexis F. 1 Verani, Marco 1 Vovelle, Julien all top 5 Serials 3 Archive for Rational Mechanics and Analysis 2 Differential and Integral Equations 2 Calculus of Variations and Partial Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Advances in Calculus of Variations 1 Journal of Fluid Mechanics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal de l’École Polytechnique – Mathématiques 1 AIMS Mathematics all top 5 Fields 26 Partial differential equations (35-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 230 times in 193 Documents Cited by ▼ Year ▼ Convergence to equilibrium for the backward Euler scheme and applications. Zbl 1215.65132 Merlet, Benoît; Pierre, Morgan 29 2010 Optimally swimming Stokesian robots. Zbl 1375.76228 Alouges, François; DeSimone, Antonio; Heltai, Luca; Lefebvre-Lepot, Aline; Merlet, Benoît 19 2013 Error estimate for finite volume scheme. Zbl 1116.35089 Merlet, Benoît; Vovelle, Julien 18 2007 \(L^\infty\)- and \(L^2\)-error estimates for a finite volume approximation of linear advection. Zbl 1171.35008 Merlet, Benoit 17 2008 Entropy method for line-energies. Zbl 1241.49010 Ignat, Radu; Merlet, Benoît 14 2012 Phase segregation for binary mixtures of Bose-Einstein condensates. Zbl 1375.49017 Goldman, M.; Merlet, B. 13 2017 A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085 Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit 13 2019 Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003 Ignat, Radu; Merlet, Benoît 11 2011 Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds. Zbl 1299.65162 Merlet, Benoît; Nguyen, Thanh Nhan 10 2013 Optimized Schwarz waveform relaxation for the primitive equations of the ocean. Zbl 1230.76011 Audusse, E.; Dreyfuss, P.; Merlet, B. 9 2010 Two remarks on liftings of maps with values into \(S^1\). Zbl 1115.46027 Merlet, Benoît 8 2006 A Ginzburg-Landau model with topologically induced free discontinuities. (Un modèle de type Ginzburg-Landau avec des discontinuités libres topologiquement induites.) Zbl 1468.35191 Goldman, Michael; Merlet, Benoit; Millot, Vincent 7 2020 An accurate method to include lubrication forces in numerical simulations of dense Stokesian suspensions. Zbl 1431.76045 Lefebvre-Lepot, A.; Merlet, B.; Nguyen, T. N. 7 2015 Fluid-particles flows: a thin spray model with energy exchanges. Zbl 1176.76132 Boudin, Laurent; Boutin, Benjamin; Fornet, Bruno; Goudon, Thierry; Lafitte, Pauline; Lagoutière, Frédéric; Merlet, Benoît 6 2009 Stochastic homogenization of the Landau-Lifshitz-Gilbert equation. Zbl 1481.35030 Alouges, François; de Bouard, Anne; Merlet, Benoît; Nicolas, Léa 6 2021 Approximate shock curves for non-conservative hyperbolic systems in one space dimension. Zbl 1066.35059 Alouges, François; Merlet, Benoit 5 2004 Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. Zbl 1427.82027 Antonietti, Paola F.; Merlet, Benoît; Pierre, Morgan; Verani, Marco 5 2016 Numerical study of a new global minimizer for the Mumford-Shah functional in \(\mathbb R^3\). Zbl 1152.49045 Merlet, Benoît 4 2007 Liouville type results for local minimizers of the micromagnetic energy. Zbl 1325.35208 Alouges, François; Di Fratta, Giovanni; Merlet, Benoit 4 2015 A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit. Zbl 1317.35252 Merlet, Benoît 4 2015 Variational approximation of size-mass energies for \(k\)-dimensional currents. Zbl 1437.49061 Chambolle, Antonin; Ferrari, Luca A. D.; Merlet, Benoit 4 2019 A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory. Zbl 1317.35253 Merlet, Benoît 3 2015 Large mass rigidity for a liquid drop model in 2D with kernels of finite moments. (Rigidité pour un modèle de goutte liquide en 2D avec des noyaux de moments finis et dans le régime des grandes masses.) Zbl 1486.52003 Merlet, Benoit; Pegon, Marc 3 2022 Strong approximation in \(h\)-mass of rectifiable currents under homological constraint. Zbl 1467.49038 Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit 3 2021 A Stokesian submarine. Zbl 1176.76028 Lefebvre-Lepot, Aline; Merlet, Benoît 2 2009 Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation. Zbl 1404.65109 Chainais-Hillairet, Claire; Merlet, Benoît; Zurek, Antoine 2 2018 An initial and boundary-value problem for the KP-II equation on a strip and on the half plane. Zbl 1212.35368 Merlet, Benoît; Paumond, Lionel 1 2005 Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291 Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F. 1 2017 Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates. Zbl 1483.49013 Goldman, Michael; Merlet, Benoit 1 2021 Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion. Zbl 1514.35430 Cancès, Clément; Chainais-Hillairet, Claire; Merlet, Benoît; Raimondi, Federica; Venel, Juliette 1 2023 Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion. Zbl 1514.35430 Cancès, Clément; Chainais-Hillairet, Claire; Merlet, Benoît; Raimondi, Federica; Venel, Juliette 1 2023 Large mass rigidity for a liquid drop model in 2D with kernels of finite moments. (Rigidité pour un modèle de goutte liquide en 2D avec des noyaux de moments finis et dans le régime des grandes masses.) Zbl 1486.52003 Merlet, Benoit; Pegon, Marc 3 2022 Stochastic homogenization of the Landau-Lifshitz-Gilbert equation. Zbl 1481.35030 Alouges, François; de Bouard, Anne; Merlet, Benoît; Nicolas, Léa 6 2021 Strong approximation in \(h\)-mass of rectifiable currents under homological constraint. Zbl 1467.49038 Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit 3 2021 Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates. Zbl 1483.49013 Goldman, Michael; Merlet, Benoit 1 2021 A Ginzburg-Landau model with topologically induced free discontinuities. (Un modèle de type Ginzburg-Landau avec des discontinuités libres topologiquement induites.) Zbl 1468.35191 Goldman, Michael; Merlet, Benoit; Millot, Vincent 7 2020 A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085 Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit 13 2019 Variational approximation of size-mass energies for \(k\)-dimensional currents. Zbl 1437.49061 Chambolle, Antonin; Ferrari, Luca A. D.; Merlet, Benoit 4 2019 Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation. Zbl 1404.65109 Chainais-Hillairet, Claire; Merlet, Benoît; Zurek, Antoine 2 2018 Phase segregation for binary mixtures of Bose-Einstein condensates. Zbl 1375.49017 Goldman, M.; Merlet, B. 13 2017 Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291 Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F. 1 2017 Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. Zbl 1427.82027 Antonietti, Paola F.; Merlet, Benoît; Pierre, Morgan; Verani, Marco 5 2016 An accurate method to include lubrication forces in numerical simulations of dense Stokesian suspensions. Zbl 1431.76045 Lefebvre-Lepot, A.; Merlet, B.; Nguyen, T. N. 7 2015 Liouville type results for local minimizers of the micromagnetic energy. Zbl 1325.35208 Alouges, François; Di Fratta, Giovanni; Merlet, Benoit 4 2015 A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit. Zbl 1317.35252 Merlet, Benoît 4 2015 A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory. Zbl 1317.35253 Merlet, Benoît 3 2015 Optimally swimming Stokesian robots. Zbl 1375.76228 Alouges, François; DeSimone, Antonio; Heltai, Luca; Lefebvre-Lepot, Aline; Merlet, Benoît 19 2013 Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds. Zbl 1299.65162 Merlet, Benoît; Nguyen, Thanh Nhan 10 2013 Entropy method for line-energies. Zbl 1241.49010 Ignat, Radu; Merlet, Benoît 14 2012 Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003 Ignat, Radu; Merlet, Benoît 11 2011 Convergence to equilibrium for the backward Euler scheme and applications. Zbl 1215.65132 Merlet, Benoît; Pierre, Morgan 29 2010 Optimized Schwarz waveform relaxation for the primitive equations of the ocean. Zbl 1230.76011 Audusse, E.; Dreyfuss, P.; Merlet, B. 9 2010 Fluid-particles flows: a thin spray model with energy exchanges. Zbl 1176.76132 Boudin, Laurent; Boutin, Benjamin; Fornet, Bruno; Goudon, Thierry; Lafitte, Pauline; Lagoutière, Frédéric; Merlet, Benoît 6 2009 A Stokesian submarine. Zbl 1176.76028 Lefebvre-Lepot, Aline; Merlet, Benoît 2 2009 \(L^\infty\)- and \(L^2\)-error estimates for a finite volume approximation of linear advection. Zbl 1171.35008 Merlet, Benoit 17 2008 Error estimate for finite volume scheme. Zbl 1116.35089 Merlet, Benoît; Vovelle, Julien 18 2007 Numerical study of a new global minimizer for the Mumford-Shah functional in \(\mathbb R^3\). Zbl 1152.49045 Merlet, Benoît 4 2007 Two remarks on liftings of maps with values into \(S^1\). Zbl 1115.46027 Merlet, Benoît 8 2006 An initial and boundary-value problem for the KP-II equation on a strip and on the half plane. Zbl 1212.35368 Merlet, Benoît; Paumond, Lionel 1 2005 Approximate shock curves for non-conservative hyperbolic systems in one space dimension. Zbl 1066.35059 Alouges, François; Merlet, Benoit 5 2004 all cited Publications top 5 cited Publications all top 5 Cited by 322 Authors 9 Ignat, Radu 8 Merlet, Benoît 7 Alouges, François 7 Di Fratta, Giovanni 7 Pierre, Morgan 5 Giraldi, Laetitia 5 Goldman, Michael 4 Aftalion, Amandine 4 Balashov, Maxim Viktorovich 4 Goudon, Thierry 4 Lamy, Xavier 4 Lemenant, Antoine 4 Monteil, Antonin 4 Novack, Michael R. 4 Petcu, Madalina 4 Slastikov, Valeriy V. 4 Sourdis, Christos 4 Wirth, Benedikt 3 Blayo, Eric 3 Bonafini, Mauro 3 Bouche, Daniel P. 3 Chambolle, Antonin 3 Chehab, Jean-Paul 3 Delarue, François 3 DeSimone, Antonio 3 Ferrari, Luca Alberto Davide 3 Ghidaglia, Jean-Michel 3 Horsin, Thierry 3 Jendoubi, Mohamed Ali 3 Knüpfer, Hans 3 Lagoutière, Frédéric 3 Lefebvre-Lepot, Aline 3 Oudet, Edouard 3 Pascal, Frédéric P. 3 Rodiac, Rémy 3 Schlichting, André 3 Van Schaftingen, Jean 3 Yan, Xiaodong 2 Badal, Rufat 2 Bochard, Pierre 2 Bouchriti, Anass 2 Brachet, Matthieu 2 Bretin, Elie 2 Calgaro, Caterina 2 Cancès, Clément 2 Contreras, Andres A. 2 Creusé, Emmanuel 2 Davoli, Elisa 2 De Luca, Lucia 2 Després, Bruno 2 Eddine Alaa, Nour 2 Gander, Martin Jakob 2 Garrigos, Guillaume 2 Heltai, Luca 2 Leitenmaier, Lena 2 Lorent, Andrew 2 Lussardi, Luca 2 Makki, Ahmad 2 Marchese, Andrea 2 Miranville, Alain M. 2 Mironescu, Petru 2 Mu, Yanmin 2 Muntean, Adrian 2 Ochs, Peter 2 Orlandi, Giandomenico 2 Otto, Felix 2 Pelinovsky, Dmitry Efimovich 2 Peng, Guanying 2 Praetorius, Dirk 2 Privat, Yannick 2 Röger, Matthias 2 Rousseau, Antoine 2 Runborg, Olof 2 Seis, Christian 2 Tornberg, Anna-Karin 2 Trélat, Emmanuel 2 Vauchelet, Nicolas 2 Wang, Dehua 2 Xu, Yingxiang 1 Abboud, Hyam 1 af Klinteberg, Ludvig 1 Agoshkov, Valeriĭ Ivanovich 1 Aiki, Toyohiko 1 Airoldi, Edoardo M. 1 Aleksandrov, Aleksandr Yur’evich 1 Alekseev, M. V. 1 Allahverdi, Navid 1 Ancellin, Matthieu 1 Anguill, Pierre 1 Antonietti, Paola Francesca 1 Apidopoulos, Vassilis 1 Arroyo, Marino 1 Aujol, Jean-François 1 Ausas, Roberto Federico 1 Babadjian, Jean-François 1 Bassetti, Federico 1 Bennequin, Daniel 1 Bernard, Florian 1 Berry, Ray A. 1 Berti, Luca ...and 222 more Authors all top 5 Cited in 87 Serials 14 Calculus of Variations and Partial Differential Equations 11 Archive for Rational Mechanics and Analysis 11 Journal of Computational Physics 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Journal of Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerische Mathematik 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Mathematical Programming. Series A. Series B 4 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems. Series S 3 Communications in Mathematical Physics 3 Journal of Fluid Mechanics 3 Applied Mathematics and Optimization 3 SIAM Journal on Numerical Analysis 3 Journal of Scientific Computing 3 Communications on Pure and Applied Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Calcolo 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Quarterly of Applied Mathematics 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Applied Numerical Mathematics 2 Computational Mathematics and Mathematical Physics 2 Communications in Partial Differential Equations 2 SIAM Journal on Optimization 2 SIAM Journal on Scientific Computing 2 European Journal of Mechanics. B. Fluids 2 Interfaces and Free Boundaries 2 Multiscale Modeling & Simulation 2 International Journal of Numerical Analysis and Modeling 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Set-Valued and Variational Analysis 2 Mathematics in Engineering 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Mathematical Modelling of Natural Phenomena 1 MathematicS In Action 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Applied Analysis and Computation 1 Journal of the Operations Research Society of China 1 Journal of Dynamics and Games 1 Journal of Operators 1 Bulletin of Computational Applied Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Geometric Flows 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics 1 Annales Henri Lebesgue all top 5 Cited in 37 Fields 88 Partial differential equations (35-XX) 83 Numerical analysis (65-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 50 Fluid mechanics (76-XX) 31 Statistical mechanics, structure of matter (82-XX) 21 Mechanics of deformable solids (74-XX) 17 Operations research, mathematical programming (90-XX) 13 Biology and other natural sciences (92-XX) 10 Systems theory; control (93-XX) 9 Functional analysis (46-XX) 9 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 5 Differential geometry (53-XX) 4 Measure and integration (28-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year