# zbMATH — the first resource for mathematics

## Merlet, Benoît

Compute Distance To:
 Author ID: merlet.benoit Published as: Merlet, Benoît; Merlet, Benoit; Merlet, B. External Links: MGP
 Documents Indexed: 31 Publications since 2004
all top 5

#### Co-Authors

 5 single-authored 4 Alouges, François 4 Goldman, Michael 3 Chainais-Hillairet, Claire 3 Chambolle, Antonin 3 Ferrari, Luca Alberto Davide 3 Lefebvre-Lepot, Aline 3 Pierre, Morgan 2 Ignat, Radu 2 Nguyen, Thanh-Nhan 2 Zurek, Antoine 1 Antonietti, Paola Francesca 1 Audusse, Emmanuel 1 Augier, Adeline 1 Boudin, Laurent 1 Boutin, Benjamin 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 Paumond, Lionel 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 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 AIMS Mathematics
all top 5

#### Fields

 23 Partial differential equations (35-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 141 times in 120 Documents Cited by Year
Convergence to equilibrium for the backward Euler scheme and applications. Zbl 1215.65132
Merlet, Benoît; Pierre, Morgan
2010
Error estimate for finite volume scheme. Zbl 1116.35089
Merlet, Benoît; Vovelle, Julien
2007
Optimally swimming Stokesian robots. Zbl 1375.76228
Alouges, François; DeSimone, Antonio; Heltai, Luca; Lefebvre-Lepot, Aline; Merlet, Benoît
2013
Phase segregation for binary mixtures of Bose-Einstein condensates. Zbl 1375.49017
Goldman, M.; Merlet, B.
2017
A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit
2019
$$L^\infty$$- and $$L^2$$-error estimates for a finite volume approximation of linear advection. Zbl 1171.35008
Merlet, Benoit
2008
Entropy method for line-energies. Zbl 1241.49010
2012
Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003
2011
Two remarks on liftings of maps with values into $$S^1$$. Zbl 1115.46027
Merlet, Benoît
2006
Optimized Schwarz waveform relaxation for the primitive equations of the ocean. Zbl 1230.76011
Audusse, E.; Dreyfuss, P.; Merlet, B.
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
2009
Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds. Zbl 1299.65162
Merlet, Benoît; Nguyen, Thanh Nhan
2013
Numerical study of a new global minimizer for the Mumford-Shah functional in $$\mathbb R^3$$. Zbl 1152.49045
Merlet, Benoît
2007
Approximate shock curves for non-conservative hyperbolic systems in one space dimension. Zbl 1066.35059
Alouges, François; Merlet, Benoit
2004
A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit. Zbl 1317.35252
Merlet, Benoît
2015
A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory. Zbl 1317.35253
Merlet, Benoît
2015
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
2016
Variational approximation of size-mass energies for $$k$$-dimensional currents. Zbl 1437.49061
Chambolle, Antonin; Ferrari, Luca A. D.; Merlet, Benoit
2019
A Stokesian submarine. Zbl 1176.76028
Lefebvre-Lepot, Aline; Merlet, Benoît
2009
Liouville type results for local minimizers of the micromagnetic energy. Zbl 1325.35208
Alouges, François; Di Fratta, Giovanni; Merlet, Benoit
2015
Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291
Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F.
2017
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
2005
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
2020
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
2020
A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit
2019
Variational approximation of size-mass energies for $$k$$-dimensional currents. Zbl 1437.49061
Chambolle, Antonin; Ferrari, Luca A. D.; Merlet, Benoit
2019
Phase segregation for binary mixtures of Bose-Einstein condensates. Zbl 1375.49017
Goldman, M.; Merlet, B.
2017
Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291
Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F.
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
2016
A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit. Zbl 1317.35252
Merlet, Benoît
2015
A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory. Zbl 1317.35253
Merlet, Benoît
2015
Liouville type results for local minimizers of the micromagnetic energy. Zbl 1325.35208
Alouges, François; Di Fratta, Giovanni; Merlet, Benoit
2015
Optimally swimming Stokesian robots. Zbl 1375.76228
Alouges, François; DeSimone, Antonio; Heltai, Luca; Lefebvre-Lepot, Aline; Merlet, Benoît
2013
Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds. Zbl 1299.65162
Merlet, Benoît; Nguyen, Thanh Nhan
2013
Entropy method for line-energies. Zbl 1241.49010
2012
Lower bound for the energy of Bloch walls in micromagnetics. Zbl 1251.78003
2011
Convergence to equilibrium for the backward Euler scheme and applications. Zbl 1215.65132
Merlet, Benoît; Pierre, Morgan
2010
Optimized Schwarz waveform relaxation for the primitive equations of the ocean. Zbl 1230.76011
Audusse, E.; Dreyfuss, P.; Merlet, B.
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
2009
A Stokesian submarine. Zbl 1176.76028
Lefebvre-Lepot, Aline; Merlet, Benoît
2009
$$L^\infty$$- and $$L^2$$-error estimates for a finite volume approximation of linear advection. Zbl 1171.35008
Merlet, Benoit
2008
Error estimate for finite volume scheme. Zbl 1116.35089
Merlet, Benoît; Vovelle, Julien
2007
Numerical study of a new global minimizer for the Mumford-Shah functional in $$\mathbb R^3$$. Zbl 1152.49045
Merlet, Benoît
2007
Two remarks on liftings of maps with values into $$S^1$$. Zbl 1115.46027
Merlet, Benoît
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
2005
Approximate shock curves for non-conservative hyperbolic systems in one space dimension. Zbl 1066.35059
Alouges, François; Merlet, Benoit
2004
all top 5

#### Cited by 197 Authors

 8 Ignat, Radu 7 Merlet, Benoît 5 Alouges, François 5 Giraldi, Laetitia 4 Aftalion, Amandine 4 Goldman, Michael 4 Goudon, Thierry 4 Lemenant, Antoine 4 Pierre, Morgan 4 Sourdis, Christos 3 Bouche, Daniel P. 3 Chambolle, Antonin 3 Chehab, Jean-Paul 3 Delarue, François 3 DeSimone, Antonio 3 Ghidaglia, Jean-Michel 3 Lagoutière, Frédéric 3 Lamy, Xavier 3 Pascal, Frédéric P. 2 Blayo, Eric 2 Bochard, Pierre 2 Bonafini, Mauro 2 Bouchriti, Anass 2 Calgaro, Caterina 2 Creusé, Emmanuel 2 Di Fratta, Giovanni 2 Eddine Alaa, Nour 2 Ferrari, Luca Alberto Davide 2 Gander, Martin Jakob 2 Heltai, Luca 2 Lussardi, Luca 2 Mironescu, Petru 2 Monteil, Antonin 2 Mu, Yanmin 2 Novack, Michael R. 2 Ochs, Peter 2 Otto, Felix 2 Oudet, Edouard 2 Petcu, Madalina 2 Privat, Yannick 2 Röger, Matthias 2 Rousseau, Antoine 2 Schlichting, André 2 Seis, Christian 2 Trélat, Emmanuel 2 Vauchelet, Nicolas 2 Wang, Dehua 2 Wirth, Benedikt 2 Xu, Yingxiang 1 Abboud, Hyam 1 Agoshkov, Valeriĭ Ivanovich 1 Aleksandrov, Aleksandr Yur’evich 1 Allahverdi, Navid 1 Apidopoulos, Vassilis 1 Arroyo, Marino 1 Aujol, Jean-François 1 Balashov, Maxim Viktorovich 1 Bennequin, Daniel 1 Bernard, Florian 1 Berry, Ray A. 1 Berti, Luca 1 Blanc, Xavier 1 Bogoşel, Beniamin 1 Bonnet, Marc 1 Bonnivard, Matthieu 1 Boudin, Laurent 1 Brachet, Matthieu 1 Bretin, Elie 1 Brézis, Haïm 1 Bucur, Dorin 1 Cancès, Clément 1 Caputo, M. Cristina 1 Cardin, Franco 1 Carioni, Marcello 1 Castro-Díaz, Manuel Jesús 1 Chabannes, Vincent 1 Chambrion, Thomas 1 Chane-Kane, Emile 1 Cherfils, Laurence 1 Choi, Hyung Jun 1 Colavolpe, Charles 1 Conti, Sergio 1 Contreras, Andres A. 1 Courbet, Bernard 1 Croisille, Jean-Pierre 1 Curcă, Eduard 1 Danaila, Ionut 1 De Lellis, Camillo 1 De Luca, Lucia 1 De Vuyst, Florian 1 Delchini, Marc O. 1 Deng, Zehui 1 Dirks, Carolin Maria 1 Dossal, Charles 1 Duclous, Roland 1 Efimov, Denis V. 1 Eymard, Robert 1 Fazly, Mostafa 1 Fernández-Nieto, Enrique Domingo 1 Ferreiro, Ana M. ...and 97 more Authors
all top 5

#### Cited in 67 Serials

 9 Calculus of Variations and Partial Differential Equations 8 Archive for Rational Mechanics and Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Differential Equations 4 Numerische Mathematik 4 SIAM Journal on Mathematical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Computational Physics 3 SIAM Journal on Numerical Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Scientific Computing 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 2 Journal of Nonlinear Science 2 SIAM Journal on Scientific Computing 2 European Journal of Mechanics. B. Fluids 2 Advances in Calculus of Variations 2 Analysis & PDE 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Physica A 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Automatica 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Applied Numerical Mathematics 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 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 Interfaces and Free Boundaries 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Set-Valued and Variational Analysis 1 Journal of Applied Analysis and Computation 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 SMAI Journal of Computational Mathematics 1 Annales Henri Lebesgue
all top 5

#### Cited in 31 Fields

 56 Partial differential equations (35-XX) 47 Numerical analysis (65-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 29 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Mechanics of deformable solids (74-XX) 11 Operations research, mathematical programming (90-XX) 8 Functional analysis (46-XX) 8 Systems theory; control (93-XX) 7 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-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 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)