Selected publications and preprints

• G. Allaire, E. Bonnetier, G. Francfort, and F. Jouve. Shape optimization by the homogenization method.
  Numerische Mathematik. Vol. 76, pages 27Ð68. 1997. pdf
  
  


• E. Bonnetier, and M.S. Vogelius. An elliptic regularity result for a composite medium with "touching" fibers of circular cross-section
  SIAM Journal on Mathematical Analysis, 31(3):651-677, 2000. pdf
  
  


• E. Bonnetier, and A. Chambolle. Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films
  SIAM Journal on Applied Mathematics, 62, No. 4, pp. 1093-1121. 2002. pdf
  
  


• F. Ben Hassen and E. Bonnetier, Asymptotic formulas for the voltage potential in a composite medium
  containing close or touching disks of small diameter, Multiscale Model. Simul. Volume 4, Issue 1, pp. 250-277. 2005. pdf
  
  


• F. Ben Hassen and E. Bonnetier. An asymptotic formula for the voltage potential in a perturbed
  $\varepsilon$--periodic composite medium containing misplaced inclusions of size $\varepsilon$,
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 136:669-700. 2006. pdf
  
  
• E. Bonnetier and F. Khayat, Influence of distortion in the homogenization of fiber-reinforced
  composites,  Mathematical Models and Methods in Applied Sciences (M3AS) Vol. 16 No: 11 (2006) pp. 1861-1885 pdf
  
  
• H. Ammari, E. Bonnetier, Y. Capdeboscq, M. Tanter, and M. Fink, Electrical impedance tomography by
  elastic deformation, SIAM J. APPL. MATH. Vol. 68, No. 6, pp. 1557–1573 (2008). pdf
  

• E. Bonnetier, C. Misbah, F. Renard, R. Toussaint and J.-P. Gratier, Does roughening of rock-fluid-rock interfaces
  emerge from a stress-induced instability? Eur. Phys. J. B 67, 121–131 (2009). pdf
  
  
• Eric Bonnetier, Didier Bresch, Vuk Milisic, A priori convergence estimates for a rough Poisson-Dirichlet
  problem with natural vertical boundary conditions,  Advances in Math.Fluid Mechanics (2009). pdf
  
  
• Eric Bonnetier and Faouzi Triki, Asymptotics in the presence of inclusions of small volume for a
  conduction equation: A case with a non-smooth reference potential, AMS, Contemporary Math. 494,
  95–111, 2009. pdf
  
  
• Habib Ammari, Eric Bonnetier and Yves Capdeboscq, Enhanced Resolution in Structured Media, SIAM
  J. Appl. Math., 70 (5) 1428-1452, 2009. pdf
  
  
• Eric Bonnetier and Faouzi Triki, Asymptotic of the Green function for the diffraction by a perfectly
  conducting plane perturbed by a sub-wavelength rectangular cavity, Math. Meth. Appl. Sci, 33 (6), 772-798, 2010. pdf
  
  
• J.F. Babadjian, E.Bonnetier and F. Triki, Enhancement of electromagnetic fields caused by interacting subwavelength
  cavities,N SIAM Multiscale Modelling and Simulation, 8, no. 4, 1383-1418, 2010. pdf
  
  
• G. Bal, E. Bonnetier, F. Monard, and F. Triki, Inverse diffusion from knowledge of power densities, accepted for
  publication in Inverse Prob. Imaging, 2011. pdf
  
  
• E. Beretta, E. Bonnetier, E. Francini and A.L. Mazzucato, Small volume asymptotics for anisotropic elastic inclusions,
  Inverse Probl. Imaging, 6 (1) 1--23, 2012. pdf
  
  
• E. Bonnetier, E. Bretin, and A. Chambolle, Consistency result for a non monotone scheme for anisotropic mean
  curvature flow, Interface Free Bound., 14 (1) 1--35, 2012. pdf
  
  
• E. Bonnetier, and F. Triki, Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator:
  The case of 2 discs, AMS Contemporary Math. Vol 577, 81-92, 2012. pdf
  
  
• E. Bonnetier, and F. Triki, On the spectrum of the Poincaré variational problem for two close-to-touching inclusions
  in 2D, Arch. Rat. Mech. Anal, 209 (2) 541--567. 2013. pdf
  


• E. Bonnetier, D. Manceau and F. Triki, Asymptotics of a dilute suspension of droplets with interfacial tension.
  Quart. Appl. Math. 71, 89-117.~2013.
  


• H. Ammari, E. Bonnetier, F. Triki, and M. Vogelius. Elliptic estimates in composite media with smooth inclusions: an integral equation approach.
  Annales Scientifiques de l'Ecole normale sup\'erieure. 4e série, t. 48, 453-494, 2015. pdf
  


• E. Bonnetier, and Hoai-Minh Nguyen. Superlensing using hyperbolic metamaterials.
  Journal de l'Ecole Polytechnique. 4, pp. 973-1003, 2017. pdf
  
  


• E. Bonnetier, and Hai Zhang, Characterization of the essential spectrum of the Neumann-Poincar$eacute operator in 2D domains with corner via Weyl sequences.
  Rev. Mat. Iber., Volume 35, Issue 3, pp. 925-948, 2019. pdf
  
  


• E. Bonnetier, F. Triki, and Chun-Hsiang Tsou. Eigenvalues of the Neumann-Poincar\'e operator of 2 inclusions with contact of order $m$ : a numerical study.
  Journal of Computational Mathematics. 36, pp. 17-28, 2018. pdf
  
  


• E. Bonnetier, F. Triki, and Chun-Hsiang Tsou. On the electro-sensing of weakly electric fish.
  Journal of Mathematical Analysis and Applications, 464, pp. 280-303, 2018. pdf
  
  


• E. Bonnetier, C. Dapogny, F. Triki and Hai Zhang. The plasmon resonances of a bowtie antenna.
  Anal. Theory Appl., 35 2019, pp. 85-116. 2019. pdf
  
  


• E. Bonnetier, F. Triki and Qi Xue. An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves.
  Inverse Problems 35-045002. 2019. pdf
  
  


• E. Bonnetier, C. Dapogny, and F. Triki. Homogenization of the eigenvalues of the Neumann-Poincarée operator.
  Archive for Rational Mechanics and Analysis volume 234, pp. 777-855. 2019. pdf
  
  


• E. Bonnetier, M. Choulli, M., F. Triki. Stability for quantitative photoacoustic tomography revisited.
  Research in the Mathematical Sciences, vol. 9, no 2, pp. 1-30. 2022. pdf
  
  


• E. Bonnetier, A. Niclas, L. Seppecher, and G. Vial. Small defects reconstruction in waveguides from multifrequency one-side scattering data.
  Inverse Problems and Imaging, 16 (2) : 417-450. doi: 10.3934/ipi.2021056. 2022. pdf
  
  


• E. Bonnetier, C. Dapogny, and M.S. Vogelius. Small perturbations in the type of boundary conditions for an elliptic operator.
  J. Math. Pures et Appliquées, 167, pp. 101--174. 2022. pdf
  
  


• E. Bonnetier, E. Bretin, and S. Masnou. Approximation of multiphase mean curvature flows with arbitrary nonnegative mobilities.
  Math. Meth. Appl. Sci. 46(9): 11262-11282. 2023. pdf
  
  


• E. Bonnetier, A. Niclas, and L. Seppecher. Lamb modes and Born approximation for small shape defects inversion in elastic plates.
  Proc. R. Soc. A.47920220646, 2023. pdf
  
  


• E. Bonnetier, A. Niclas, and L. Seppecher., G. Vial. The Helmholtz problem in slowly varying waveguides at locally resonant frequencies.
  Wave Motion, 120:103157, 2023. pdf
  
  


• E. Bonnetier, P. Etoré, and M. Martinez. A Probabilistic representation of the solution to a 1D~evolution equation in a medium with negative index.
  J. Stat. Phys. 192, 35, 2025. pdf
  
  


• K. Ammari, E. Bonnetier, and A. Duca. Networks of Sign-Changing Metamaterials: Existence and Spectral Properties.
  Communications in Mathematical Sciences. Vol. 23, 7, pp. 1789-1821. 2025. pdf
  
  


• E. Bonnetier, C. Brito-Pacheco, C. Dapogny, and R. Estevez. Numerical shape and topology optimization of regions supporting the boundary condi- tions of a physical problem.
  ESAIM: COCV. 31, 75. 2025. pdf
  
  


• E. Bonnetier, M. Courdurier, A. Osses, and F. Triki. An open waveguide with a thin high contrast core layer: asymptotic analysis and inverse detection problem.
  SIAM Journal on Applied Mathematics. 86(3):1130-1158. 2026. pdf