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Author ID: bonnetier.eric Recent zbMATH articles by "Bonnetier, Eric"
Published as: Bonnetier, Eric; Bonnetier, E.; Bonnetier, Éric

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 592 times in 439 Documents Cited by Year
Shape optimization by the homogenization method. Zbl 0889.73051
Allaire, Grégoire; Bonnetier, Eric; Francfort, Gilles; Jouve, François
98
1997
An elliptic regularity result for a composite medium with ”touching” fibers of circular cross-section. Zbl 0947.35044
Bonnetier, Eric; Vogelius, Michael
78
2000
On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D. Zbl 1280.49029
Bonnetier, Eric; Triki, Faouzi
61
2013
Electrical impedance tomography by elastic deformation. Zbl 1156.35101
Ammari, H.; Bonnetier, E.; Capdeboscq, Y.; Tanter, M.; Fink, M.
52
2008
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
Bal, Guillaume; Bonnetier, Eric; Monard, François; Triki, Faouzi
37
2013
Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator: the case of 2 discs. Zbl 1328.35126
Bonnetier, Eric; Triki, Faouzi
31
2012
Computing the equilibrium configuration of epitaxially strained crystalline films. Zbl 1001.49017
Bonnetier, E.; Chambolle, A.
30
2002
Elliptic estimates in composite media with smooth inclusions: an integral equation approach. (Estimations de régularité elliptique dans un milieu composite contenant des inhomogénéités de forme régulière : une approche par équations intégrales.) Zbl 1319.35255
Ammari, Habib; Bonnetier, Eric; Triki, Faouzi; Vogelius, Michael
18
2015
Characterization of the essential spectrum of the Neumann-Poincaré operator in 2D domains with corner via Weyl sequences. Zbl 1423.35268
Bonnetier, Eric; Zhang, Hai
18
2019
Enhanced resolution in structured media. Zbl 1202.35343
Ammari, Habib; Bonnetier, Eric; Capdeboscq, Yves
17
2009
Small volume asymptotics for anisotropic elastic inclusions. Zbl 1238.35152
Beretta, Elena; Bonnetier, Eric; Francini, Elisa; Mazzucato, Anna L.
15
2012
Asymptotic of the Green function for the diffraction by a perfectly conducting plane perturbed by a sub-wavelength rectangular cavity. Zbl 1193.78007
Bonnetier, E.; Triki, F.
14
2010
Consistency result for a non monotone scheme for anisotropic mean curvature flow. Zbl 1254.35128
Bonnetier, Eric; Bretin, Elie; Chambolle, Antonin
13
2012
Enhancement of electromagnetic fields caused by interacting subwavelength cavities. Zbl 1208.78012
Babadjian, Jean-François; Bonnetier, Eric; Triki, Faouzi
12
2010
Approximation of Young measures by functions and application to a problem of optimal design for plates with variable thickness. Zbl 0824.49006
Bonnetier, E.; Conca, C.
9
1994
Homogenization of the eigenvalues of the Neumann-Poincaré operator. Zbl 1437.35031
Bonnetier, Éric; Dapogny, Charles; Triki, Faouzi
9
2019
Optimal design of periodic diffractive structures. Zbl 0978.49004
Bao, G.; Bonnetier, E.
8
2001
Asymptotic of the velocity of a dilute suspension of droplets with interfacial tension. Zbl 1302.76191
Bonnetier, Eric; Manceau, David; Triki, Faouzi
7
2013
Asymptotics in the presence of inclusions of small volume for a conduction equation: a case with a non-smooth reference potential. Zbl 1182.35079
Bonnetier, Eric; Triki, Faouzi
6
2009
Superlensing using hyperbolic metamaterials: the scalar case. Zbl 1412.35320
Bonnetier, Eric; Nguyen, Hoai-Minh
6
2017
The plasmonic resonances of a bowtie antenna. Zbl 1438.78005
Bonnetier, Eric; Dapogny, Charles; Triki, Faouzi; Zhang, Hai
6
2019
Gas dynamics system: two special cases. Zbl 0877.35075
Bereux, François; Bonnetier, Eric; LeFloch, Philippe G.
5
1997
Stability for quantitative photoacoustic tomography revisited. Zbl 1491.35449
Bonnetier, Eric; Choulli, Mourad; Triki, Faouzi
5
2022
On the electro-sensing of weakly electric fish. Zbl 1516.35496
Bonnetier, Eric; Triki, Faouzi; Tsou, Chun-Hsiang
4
2018
Relaxation of a compliance functional for a plate optimization problem. Zbl 0631.73079
Bonnetier, E.; Vogelius, M.
4
1987
Asymptotic formulas for the Voltage potential in a composite medium containing close or touching disks of small diameter. Zbl 1088.35021
Ben Hassen, M. F.; Bonnetier, E.
4
2005
Numerical simulation of a class of models that combine several mechanisms of dissipation: fracture, plasticity, viscous dissipation. Zbl 1349.74374
Bonnetier, Eric; Jakabčin, Lukáš; Labbé, Stéphane; Replumaz, Anne
3
2014
Full relaxation of a plate optimization problem. (Relaxation totale d’un problème d’optimisation de plaques.) Zbl 0792.73054
Bonnetier, Éric; Conca, Carlos
3
1993
Analysis of a one-dimensional variational model of the equilibrium shape of a deformable crystal. Zbl 0958.74022
Bonnetier, Eric; Falk, Richard S.; Grinfeld, Michael A.
3
1999
An asymptotic formula for the voltage potential in a perturbed \(\varepsilon\)-periodic composite medium containing misplaced inclusions of size \(\varepsilon\). Zbl 1105.35011
Ben Hassen, M. F.; Bonnetier, E.
3
2006
Small defects reconstruction in waveguides from multifrequency one-side scattering data. Zbl 1484.35404
Bonnetier, Éric; Niclas, Angèle; Seppecher, Laurent; Vial, Grégory
3
2022
Analysis of the radiation properties of a planar antenna on a photonic crystal substrate. Zbl 1037.78010
Ammari, Habib; Béreux, Natacha; Bonnetier, Eric
2
2001
A priori convergence estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions. Zbl 1422.65351
Bonnetier, Eric; Bresch, Didier; Milišić, Vuk
2
2010
Eigenvalues of the Neumann-Poincare operator for two inclusions with contact of order \(m\): a numerical study. Zbl 1413.65417
Bonnetier, Eric; Triki, Faouzi; Tsou, Chun Hsiang
2
2018
Influence of distortion in the homogenization of fiber-reinforced composites. Zbl 1114.74047
Bonnetier, Eric; Khayat, Faten
1
2006
A note on reconstructing the conductivity in impedance tomography by elastic perturbation. Zbl 1334.78030
Bonnetier, Eric; Triki, Faouzi
1
2014
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies. Zbl 1524.78085
Bonnetier, Éric; Niclas, Angèle; Seppecher, Laurent; Vial, Grégory
1
2023
An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves. Zbl 1462.74097
Bonnetier, Eric; Triki, Faouzi; Xue, Qi
1
2019
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies. Zbl 1524.78085
Bonnetier, Éric; Niclas, Angèle; Seppecher, Laurent; Vial, Grégory
1
2023
Stability for quantitative photoacoustic tomography revisited. Zbl 1491.35449
Bonnetier, Eric; Choulli, Mourad; Triki, Faouzi
5
2022
Small defects reconstruction in waveguides from multifrequency one-side scattering data. Zbl 1484.35404
Bonnetier, Éric; Niclas, Angèle; Seppecher, Laurent; Vial, Grégory
3
2022
Characterization of the essential spectrum of the Neumann-Poincaré operator in 2D domains with corner via Weyl sequences. Zbl 1423.35268
Bonnetier, Eric; Zhang, Hai
18
2019
Homogenization of the eigenvalues of the Neumann-Poincaré operator. Zbl 1437.35031
Bonnetier, Éric; Dapogny, Charles; Triki, Faouzi
9
2019
The plasmonic resonances of a bowtie antenna. Zbl 1438.78005
Bonnetier, Eric; Dapogny, Charles; Triki, Faouzi; Zhang, Hai
6
2019
An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves. Zbl 1462.74097
Bonnetier, Eric; Triki, Faouzi; Xue, Qi
1
2019
On the electro-sensing of weakly electric fish. Zbl 1516.35496
Bonnetier, Eric; Triki, Faouzi; Tsou, Chun-Hsiang
4
2018
Eigenvalues of the Neumann-Poincare operator for two inclusions with contact of order \(m\): a numerical study. Zbl 1413.65417
Bonnetier, Eric; Triki, Faouzi; Tsou, Chun Hsiang
2
2018
Superlensing using hyperbolic metamaterials: the scalar case. Zbl 1412.35320
Bonnetier, Eric; Nguyen, Hoai-Minh
6
2017
Elliptic estimates in composite media with smooth inclusions: an integral equation approach. (Estimations de régularité elliptique dans un milieu composite contenant des inhomogénéités de forme régulière : une approche par équations intégrales.) Zbl 1319.35255
Ammari, Habib; Bonnetier, Eric; Triki, Faouzi; Vogelius, Michael
18
2015
Numerical simulation of a class of models that combine several mechanisms of dissipation: fracture, plasticity, viscous dissipation. Zbl 1349.74374
Bonnetier, Eric; Jakabčin, Lukáš; Labbé, Stéphane; Replumaz, Anne
3
2014
A note on reconstructing the conductivity in impedance tomography by elastic perturbation. Zbl 1334.78030
Bonnetier, Eric; Triki, Faouzi
1
2014
On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D. Zbl 1280.49029
Bonnetier, Eric; Triki, Faouzi
61
2013
Inverse diffusion from knowledge of power densities. Zbl 1267.35249
Bal, Guillaume; Bonnetier, Eric; Monard, François; Triki, Faouzi
37
2013
Asymptotic of the velocity of a dilute suspension of droplets with interfacial tension. Zbl 1302.76191
Bonnetier, Eric; Manceau, David; Triki, Faouzi
7
2013
Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator: the case of 2 discs. Zbl 1328.35126
Bonnetier, Eric; Triki, Faouzi
31
2012
Small volume asymptotics for anisotropic elastic inclusions. Zbl 1238.35152
Beretta, Elena; Bonnetier, Eric; Francini, Elisa; Mazzucato, Anna L.
15
2012
Consistency result for a non monotone scheme for anisotropic mean curvature flow. Zbl 1254.35128
Bonnetier, Eric; Bretin, Elie; Chambolle, Antonin
13
2012
Asymptotic of the Green function for the diffraction by a perfectly conducting plane perturbed by a sub-wavelength rectangular cavity. Zbl 1193.78007
Bonnetier, E.; Triki, F.
14
2010
Enhancement of electromagnetic fields caused by interacting subwavelength cavities. Zbl 1208.78012
Babadjian, Jean-François; Bonnetier, Eric; Triki, Faouzi
12
2010
A priori convergence estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions. Zbl 1422.65351
Bonnetier, Eric; Bresch, Didier; Milišić, Vuk
2
2010
Enhanced resolution in structured media. Zbl 1202.35343
Ammari, Habib; Bonnetier, Eric; Capdeboscq, Yves
17
2009
Asymptotics in the presence of inclusions of small volume for a conduction equation: a case with a non-smooth reference potential. Zbl 1182.35079
Bonnetier, Eric; Triki, Faouzi
6
2009
Electrical impedance tomography by elastic deformation. Zbl 1156.35101
Ammari, H.; Bonnetier, E.; Capdeboscq, Y.; Tanter, M.; Fink, M.
52
2008
An asymptotic formula for the voltage potential in a perturbed \(\varepsilon\)-periodic composite medium containing misplaced inclusions of size \(\varepsilon\). Zbl 1105.35011
Ben Hassen, M. F.; Bonnetier, E.
3
2006
Influence of distortion in the homogenization of fiber-reinforced composites. Zbl 1114.74047
Bonnetier, Eric; Khayat, Faten
1
2006
Asymptotic formulas for the Voltage potential in a composite medium containing close or touching disks of small diameter. Zbl 1088.35021
Ben Hassen, M. F.; Bonnetier, E.
4
2005
Computing the equilibrium configuration of epitaxially strained crystalline films. Zbl 1001.49017
Bonnetier, E.; Chambolle, A.
30
2002
Optimal design of periodic diffractive structures. Zbl 0978.49004
Bao, G.; Bonnetier, E.
8
2001
Analysis of the radiation properties of a planar antenna on a photonic crystal substrate. Zbl 1037.78010
Ammari, Habib; Béreux, Natacha; Bonnetier, Eric
2
2001
An elliptic regularity result for a composite medium with ”touching” fibers of circular cross-section. Zbl 0947.35044
Bonnetier, Eric; Vogelius, Michael
78
2000
Analysis of a one-dimensional variational model of the equilibrium shape of a deformable crystal. Zbl 0958.74022
Bonnetier, Eric; Falk, Richard S.; Grinfeld, Michael A.
3
1999
Shape optimization by the homogenization method. Zbl 0889.73051
Allaire, Grégoire; Bonnetier, Eric; Francfort, Gilles; Jouve, François
98
1997
Gas dynamics system: two special cases. Zbl 0877.35075
Bereux, François; Bonnetier, Eric; LeFloch, Philippe G.
5
1997
Approximation of Young measures by functions and application to a problem of optimal design for plates with variable thickness. Zbl 0824.49006
Bonnetier, E.; Conca, C.
9
1994
Full relaxation of a plate optimization problem. (Relaxation totale d’un problème d’optimisation de plaques.) Zbl 0792.73054
Bonnetier, Éric; Conca, Carlos
3
1993
Relaxation of a compliance functional for a plate optimization problem. Zbl 0631.73079
Bonnetier, E.; Vogelius, M.
4
1987
all top 5

Cited by 559 Authors

37 Ammari, Habib
21 Kang, Hyeonbae
14 Li, Haigang
13 Lim, Mikyoung
13 Triki, Faouzi
12 Xu, Longjuan
11 Park, Won-Kwang
9 Bal, Guillaume
9 Bonnetier, Eric
9 Dong, Hongjie
9 Li, YanYan
9 Lin, Junshan
9 Yun, Kihyun
9 Zhao, Zhiwen
8 Alberti, Giovanni S.
8 Allaire, Grégoire
8 Fusco, Nicola
8 Yu, SangHyeon
7 Capdeboscq, Yves
7 Chesnel, Lucas
7 Dapogny, Charles
7 Fonseca, Irene
7 Morini, Massimiliano
7 Ruiz, Matias
7 Rumpf, Martin
7 Zhang, Hai
6 Knudsen, Kim M.
6 Lee, Hyundae
6 Leoni, Giovanni
6 Liu, Hongyu
6 Seppecher, Laurent
5 Chambolle, Antonin
5 Desmorat, Boris
5 Hao, Xia
5 Jang, Yunsoo
5 Jouve, François
5 Kim, Youchan
5 Millien, Pierre
5 Nazarov, Sergeĭ Aleksandrovich
5 Piovano, Paolo
5 Vial, Grégory
4 Bonnaillie-Noël, Virginie
4 Chow, Yat Tin
4 Deng, Youjun
4 Esedoglu, Selim
4 Geihe, Benedict
4 Li, Wei
4 Miyanishi, Yoshihisa
4 Nika, Grigor
4 Perfekt, Karl-Mikael
4 Schotland, John C.
4 Shipman, Stephen P.
4 Sini, Mourad
4 Sokołowski, Jan
4 Tsou, Chun-Hsiang
4 Yang, Yang
4 Yang, Zhuolun
3 Ando, Kazunori
3 Andrä, Heiko
3 Bao, Ellen Shiting
3 Bao, Jiguang
3 Beretta, Elena
3 Bouchitté, Guy
3 Chen, Yu
3 Ciraolo, Giulio
3 Claeys, Xavier
3 Conti, Sergio
3 Corli, Andrea
3 Crnjac, Ivana
3 Dambrine, Marc
3 Fragalà, Ilaria
3 Gao, Yixian
3 Garnier, Josselin
3 Guo, Chenxi
3 Jensen, Bjørn Christian Skov
3 Jung, Younghoon
3 Khelifi, Abdessatar
3 Kim, Yongjung
3 Kuchment, Peter A.
3 Laux, Tim
3 Li, Peijun
3 Liu, Ji-Chuan
3 Monard, François
3 Nguyen, Hoai-Minh
3 Nguyen, Loc Hoang
3 Niclas, Angèle
3 Pimentel, Edgard A.
3 Putinar, Mihai
3 Schultz, Rüdiger
3 Seo, Jin Keun
3 Seppecher, Pierre
3 Sherina, Ekaterina Sergeevna
3 Toader, Anca-Maria
3 Vernescu, Bogdan
3 Wang, Dong
3 Yamada, Takayuki
3 Yin, Biao
3 Zou, Jun
3 Zribi, Habib
2 Adesokan, Bolaji James
...and 459 more Authors
all top 5

Cited in 128 Serials

28 Archive for Rational Mechanics and Analysis
24 Computer Methods in Applied Mechanics and Engineering
22 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Journal of Computational Physics
16 SIAM Journal on Mathematical Analysis
15 Inverse Problems
15 Journal of Mathematical Analysis and Applications
13 Journal of Differential Equations
11 Quarterly of Applied Mathematics
11 Multiscale Modeling & Simulation
8 Structural and Multidisciplinary Optimization
8 Inverse Problems and Imaging
8 SIAM Journal on Imaging Sciences
7 Computers & Mathematics with Applications
7 Mathematische Annalen
7 Communications in Partial Differential Equations
7 SIAM Journal on Applied Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Mathematical Methods in the Applied Sciences
6 Proceedings of the American Mathematical Society
5 SIAM Journal on Numerical Analysis
5 Calculus of Variations and Partial Differential Equations
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Mathematics of Computation
4 International Journal for Numerical Methods in Engineering
4 Journal of Optimization Theory and Applications
4 Journal of Elasticity
4 SN Partial Differential Equations and Applications
3 Wave Motion
3 Advances in Mathematics
3 Journal of Functional Analysis
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Computational Mechanics
3 European Journal of Applied Mathematics
3 Engineering Analysis with Boundary Elements
3 European Journal of Mechanics. A. Solids
3 Communications on Pure and Applied Analysis
3 Inverse Problems in Science and Engineering
3 Discrete and Continuous Dynamical Systems. Series S
2 Applicable Analysis
2 Communications in Mathematical Physics
2 Journal of Mathematical Physics
2 Journal of Computational and Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerical Functional Analysis and Optimization
2 Applied Numerical Mathematics
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Applications of Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Mathematics and Mathematical Physics
2 SIAM Journal on Scientific Computing
2 Discrete and Continuous Dynamical Systems
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Interfaces and Free Boundaries
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Advances in Calculus of Variations
2 Analysis and Mathematical Physics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Annales Henri Lebesgue
2 Communications on Analysis and Computation
1 Acta Mechanica
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Optimization
1 BIT
1 Duke Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Mechanics Research Communications
1 Numerische Mathematik
1 Transactions of the American Mathematical Society
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 Japan Journal of Industrial and Applied Mathematics
1 The Journal of Geometric Analysis
1 Applied Mathematical Modelling
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Mathematical Programming. Series A. Series B
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Continuum Mechanics and Thermodynamics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Potential Analysis
1 Computational Optimization and Applications
1 Topological Methods in Nonlinear Analysis
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Computational and Applied Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 ETNA. Electronic Transactions on Numerical Analysis
1 Russian Journal of Numerical Analysis and Mathematical Modelling
...and 28 more Serials
all top 5

Cited in 35 Fields

286 Partial differential equations (35-XX)
152 Mechanics of deformable solids (74-XX)
94 Optics, electromagnetic theory (78-XX)
90 Numerical analysis (65-XX)
80 Calculus of variations and optimal control; optimization (49-XX)
39 Fluid mechanics (76-XX)
36 Biology and other natural sciences (92-XX)
15 Operator theory (47-XX)
13 Potential theory (31-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Operations research, mathematical programming (90-XX)
10 Information and communication theory, circuits (94-XX)
8 Integral equations (45-XX)
7 Differential geometry (53-XX)
6 Computer science (68-XX)
5 Functional analysis (46-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Integral transforms, operational calculus (44-XX)
4 Systems theory; control (93-XX)
3 Ordinary differential equations (34-XX)
3 Quantum theory (81-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Mechanics of particles and systems (70-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year