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Author ID: merlet.benoit Recent zbMATH articles by "Merlet, Benoît"
Published as: Merlet, Benoît; Merlet, Benoit; Merlet, B.
External Links: MGP

Publications by Year

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 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