Selected publications

• E. Bonnetier. Plane stress elasto-plastic constitutive equations obtained by homogenizing one-dimensional structures.
  M2AN. Vol. 29 (1). pp. 23-52. 1995. [pdf]


• E. Bonnetier et C. Conca. Relaxation d'un probl&eme d'optimisation de plaques.
  C.R. Acad. Sci. Paris. t. 317 Série I. pp. 931-936. 1993. [pdf]


• E. Bonnetier et C. Conca. Approximation of Young measures by functions and application to a problem of optimal design for plates with variable thickness.
  Proc. Royal Soc. Edinburgh. 124 A. pp. 399-422. 1994. [link]


• G. Allaire, E. Bonnetier, G. Francfort et F. Jouve. Shape optimization by the homogenization method.
  Num. Math. Vol 76. pp. 27--68. 1997. [pdf]


• F. Béreux, E. Bonnetier et P.G. Lefloch. Gas dynamics equations, 2 special cases.
  SIAM J. Math. An. 28. 3. pp. 499-515. 1997. [link]


• E. Bonnetier et C. Conca. Optimality conditions for a relaxed layout optimization problem.
  C.R. Acad. Sci., Série I Math. 327. pp. 1005--1010. 1998. [ps]


• E. Bonnetier, R.S. Falk et M. Grinfeld. Analysis of a One-dimensional Variational Model of the Equilibrium Shape of a Deformable Crystal.
  M2AN. 33 (3). pp. 573-591. 1999. [pdf]


• G. Bao et E. Bonnetier. Optimal Design of Periodic Diffractive Structures.
  Appl. Math. Opt. 43. pp. 103--116. 2001. [pdf]


• H. Ammari, N. Béreux et E. Bonnetier. Analysis of the radiation properties of a planar antenna on a photonic crystal substrate.
  Math. Methods Appl. Sci. 24. pp. 1021--1042. 2001. [pdf]


• E. Bonnetier et M. Vogelius. An elliptic regularity result for a composite medium with ``touching'' fibers of circular cross-section.
  SIAM J. Math. Analysis}. 31. pp. 651--677. 2000. [pdf]


• E. Bonnetier et A. Chambolle. Computing the equilibrium shape of an elastic crystal.
  SIAM J. Appl. Math., 62. 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. pp. 1861-1885. 2006. [pdf]


• E. Bonnetier et S.G. Sista. Asymptotics for the voltage potential in a periodic network with localized defects.
  Math. Meth. Appl. Sci. 31 (10). 1175-1196. 2008. [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, pp. 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, pp. 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), pp. 772-798, 2010. [pdf]


• J.F. Babadjian, E.Bonnetier and F. Triki. Enhancement of electromagnetic fields caused by interacting subwavelength cavities.
  SIAM Multiscale Modelling and Simulation, 8, no. 4, pp. 1383-1418. 2010. [pdf]


• G. Bal, E. Bonnetier, F. Monard, and F. Triki. Inverse diffusion from knowledge of power densities.
  Inverse Probl. Imaging. 7 (2) pp. 353-375. 2013. [pdf]


• E. Beretta, E. Bonnetier, E. Francini and A.L. Mazzucato. Small volume asymptotics for anisotropic elastic inclusions.
  Inverse Probl. Imaging, 6 (1) pp. 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) pp. 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, pp. 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) pp. 541--567. 2013. [pdf]


• 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 supérieure. 4eme série, t. 48, 453-494, 2015. [pdf]


• E. Bonnetier, F. Triki, and Chun-Hsiang Tsou. Eigenvalues of the Neumann-Poincaré operator of 2 inclusions with contact of order m : a numerical study.
  Journal of Computational Mathematics (36) pp. 17-28. 2018. [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-Poincaré 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. 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, C. Dapogny, and F. Triki. Homogenization of the eigenvalues of the Neumann-Poincaré operator.
  Archive for Rational Mechanics and Analysis volume 234, pp. 777-855. 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]



Preprints


• E. Bonnetier, M. Choulli, and F. Triki. Stability for quantitative photo-acoustic tomography revisited.
  Preprint (arXiv:1905.07914v2 [math.AP]). 2020. [pdf]


• E. Bonnetier, A. Niclas, L. Seppecher, and G. Vial. Multi-frequency method from one-side measurements for small defects reconstruction in waveguides.
  Preprint (hal-03130533, version 1). 2020. [pdf]


• E. Bonnetier, S. Gaete, A. Jofre, R. Lecaros, G. Montecinos, J. H. Ortega, J. Ramirez-Ganga, J. San Martin. A shear-compression damage model for the simulation of underground mining by block caving.
  Preprint arXiv:2012.11118v2 [math.OC], 2020. [pdf]


• E. Bonnetier, C. Dapogny, and M.S. Vogelius. Small perturbations in the type of boundary conditions for an elliptic operator.
  Preprint arXiv:2106.07407 [math.AP], 2021. [pdf]