Publications
Publications dans une revue avec comit de lecture
• A¨ıssa N., Asymptotic Behavior of the TE and TM Approximations to Second Harmonic Generation, J. Comp. Math., 25 (2007), 49–66.
• A¨ıssa N., Asymptotic Behavior of Thin Ferroelectric Material, Port.
Math. (N.S.) 63 (2006), no. 4, 375–392.
• Amirat Y., Hamdache K. et Murat F., Global weak solutions to the equations of motion for magnetic fluids, J. Math. Fluid Mech., 1-26 (2007).
• Amirat Y. etHamdache K., Global weak solutions to a ferrofluid flow model, Math.Meth. Appl. Sci. paraˆıtre (2007).
• A¨ıssa N. et Hamdache K., Asymptotics of time harmonic solutions to a thin ferroelectric model, Abstract and Applied Analysis, Art. ID 61629, 14 pp (2007).
• Ammari H. et Volkov D., The leading order term in the asymptotic expansion of the scattering amplitude of a collection of finite number of dielectric inhomogeneities of small diameter, International Journal for Multiscale Computational Engineering 3 (2005), 285–296.
• Ammari H. et Santosa F., Guided waves in photonic bandgap struc- ture with line defect,SIAM Journal on Applied Mathematics64(2004), no. 6, 2018-2033.
• Ammari H. et Uhlmann G., Reconstruction of the Potential from Partial Cauchy Data for the Schr¨odinger Equation, Indiana University Mathematics Journal 53 (2004), no.1, 168-184.
• Ammari H. et Kang H., Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities, Journal of Mathematical Analysis and Applications 296 (2004), 190–208.
• Ammari H., Beretta E. et Francini E., Reconstruction of thin con- ductivity imperfections, Applicable Analysis 83 (2004), no.1, 63-78.
• Ammari H.etTriki F., Resonances for microstrip transmission lines, SIAM Journal on Applied Mathematics64 (2004), no.2, 601–636.
• Ammari H.etTriki F., Splitting of resonant and scattering frequen- cies under shape deformation, Journal of Differential Equations 202 (2004), no.1, 231–255.
• Ammari H., Seo J.K., Kwon O. et Woo E.J., Mathematical framework and anomaly estimation algorithm for breast cancer detection using TS2000 configuration, IEEE Transactions on Biomedical Engineering 51 (2004), 1898–1906.
• Ammari H., Kang H., Kim E. et Lim M., Reconstruction of closely spaced small inclusions,SIAM Journal on Numerical Analysis42(2005), no. 6, 2408–2428.
• Ammari H.et Kang H., Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements, Contemporary Mathe- matics, Vol. 348, 23–32, 2004.
• Ammari H., Kwon O., Seo J.K. et Woo E.J., T-scan electrical impedance imaging system for anomaly detection,SIAM Journal on Applied Math- ematics65 (2005), no.1, 252–266.
• Ammari H., Asch M. et Kang H., Boundary perturbations of voltage potentials caused by small conductivity inhomogeneities nearly touch- ing the boundary, Advances in Applied Mathematics 35 (2005), no.4, 368–391.
• Ammari H., Kang H. et Touibi K., Boundary layer techniques for deriving the effective properties of composites materials, Asymptotic Analysis 41 (2005), no.2, 119–140.
• Ammari H., Kang H. etTouibi K., Approximation of a conductivity inclusion close to a planar surface,Journal of Applied Mathematics and Physics (ZAMP) 57 (2006), 234–243.
• Ammari H., Kang H. et Lim M., Gradient estimates for solutions to the conductivity problem,Mathematische Annalen 332(2005), 277–
286.
• Ammari H., Iakovleva E. et Lesselier D., A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering am- plitude at a fixed frequency, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 3 (2005), 597–628.
• Ammari H., Kang H. et Kim K., Polarization tensors and effective properties of anisotropic composite materials, Journal of Differential Equations 215 (2005), 401–428.
• Ammari H., Beretta E. et Francini E., Reconstruction of thin con- ductivity inhomogeneities, II. The case of multiple segments,Applicable Analysis, 85 (2006), 87–105.
• Ammari H., Kang H. et Lim M., Effective parameters of elastic composites, Indiana University Mathematics Journal 55 (2006), 903–
922.
• Ammari H., Iakovleva E. et Lesselier D., Two numerical methods for recovering small inclusions from the scattering amplitude at a fixed frequency, SIAM Journal on Scientific Computing27 (2005), 130–158.
• Ammari H., Kang H. et Santosa F., Scattering of electromagnetic waves by thin dielectric structures, SIAM Journal on Mathematical Analysis 38 (2006), 1329–1342.
• Ammari H. et Kang H., Reconstruction of elastic inclusions of small volume via dynamic measurements and boundary control,Applied Math- ematics and Optimization 54 (2006), 223–235.
• Ammari H., Iakovleva E. et H. Kang, Reconstruction of a small inclusion in a 2-D open waveguide, SIAM Journal on Applied Mathe- matics 65 (2005), no. 6, 2107–2127.
• Ammari H.,Iakovleva E., Kang H. et Kim K., Direct algorithms for thermal imaging of small inclusions, Multiscale Modeling and Simula- tion: A SIAM Interdisciplinary Journal 4 (2005), 1116–1136.
• Ammari H., Kang H., Lee H., Lee J. etLim M., Optimal estimates for the electric field in two-dimensions, paraˆıtre dansJournal de Math- matiques Pures et Appliques.
• Ammari H., Capdeboscq Y., Kang H., Kim E. et Lim M., Numer- ical attainability by simply connected domains of optimal bounds for the polarization tensor, European Journal of Applied Mathematics 17 (2006), 201–219.
• Ammari H., Iakovleva E., Lesselier D. et Perrusson G., A MUSIC- type electromagnetic imaging of a collection of small three-dimensional inclusions,SIAM Journal on Scientific Computing29(2007), 674–709.
• Ammari H., Kang H. et Lee H., A boundary integral method for computing elastic moment tensors for ellipses and ellipsoids, Journal of Computational Mathematics25 (2007), 2–12.
• Ammari H., Kang H., Soussi S. et Zribi H., Layer potential tech- niques in spectral analysis. Part II: analysis of spectral properties of high contrast band-gap materials,Multiscale Modeling and Simulation:
A SIAM Interdisciplinary Journal 5(2006), 646–663.
• Ammari H., Kang H. et Kim E., Approximate boundary conditions for patch antennas mounted on thin layers, Communications in Com- putational Physics 1(2006), 1076–1095.
• Ammari H., Griesmaier R. et Hanke M., Identification of small in- homogeneities: asymptotic factorization,Mathematics of Computation 76 (2007), 1425–1448.
• Ammari H., Dassios G., Kang H. etLim M., Estimates for the elec- tric field in the presence of adjacent perfectly conducting spheres,Quar- terly of Applied Mathematics65 (2007), 339–355.
• Ammari H., Kang H. et Lee H., Asymptotic expansions for eigen- values of Lam´e system in domains with small inclusions, paraˆıtre dans Communications in Partial Differential Equations.
• Ammari H.,Garapon P., Kang H. etLee H., A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements, paraˆıtre dans Quarterly of Applied Mathematics.
• Asch M. etSeraphin M., Numerical Localization of Electromagnetic Imperfections from a Perturbation Formula in Three Dimensions, paraˆıtre dans Journal of Computational Mathematics, 2007.
• Duran M.,Hein R.etNdlec J.C., Computing numerically the Green’s function of the half-plane Helmholtz operator with impedance bound- ary conditions, Numerische Mathematik, 107, (2007), 2, 295-314.
• Duran M., Muga I. et Ndlec J.C., The Helmholtz equation in a locally perturbed half-plane with passive boundary, IMA Journal of Applied Mathematics, 71(2006), 853-876.
• Duran M., Ossanson S.etNdlec J.C., Numerical Study of the Spec- tral 3D Green’s Function Singularities for Piezoelectric SAW Compo- nents,IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control (2005).
• Hamdache K. et Tilioua M., The Landau-Lifshitz equations and the damping parameter, Bolletino U.M.I. (8), 9B N 2, 283-297 (2006).
• Hamdache K., Hamroun D. et Tilioua M., On a model of magnetiza- tion switching by spin-polarized current, Japan Journ. of Indust. and Appl. Math. Vol 23, N 1, 105-125 (2006).
• Hamdache K. etNgningone-Eya I., Time harmonic solutions to a model of ferroelectric materials, Applicable Analysis 84, N 7, 721–736 (2005).
• Hamdache K. et Hamroun D., Ferromagnets with biquadratic ex- change coupling energy. Global existence of weak solutions,Math. Meth.
Appl. Sci., 28: 1403-1421 (2005).
• Hamdache K.etTilioua M., Interlayer exchange coupling for ferro- magnets through spacers,SIAM J. Appl. Math.Vol. 64, N. 3, 1077–1097 (2004).
• Hamdache K. et Hamroun D. Local solutions to a model of piezo- electric materials, Math. Meth. Appl. Sci., 27, 1657–1670 (2004).
• Soussi S., Modeling photonic crystal fibers, Adv. in Appl. Math. 36 (2006), no. 3, 288–317.
• Soussi S., Convergence of the supercell method for defect modes cal- culations in photonic crystals, SIAM J. Numer. Anal.43 (2005), no. 3, 1175–1201.
• Soussi S., Second-harmonic generation in the undepleted-pump ap- proximation,Multiscale Model. Simul. 4 (2005), no. 1, 115–148.
Livres
• Ammari H.et Kang H. Reconstruction of Small Inhomogeneities from Boundary Measurements,Lecture Notes in Mathematics, Volume1846, Springer-Verlag, Berlin 2004, 238 pages.
• Ammari H.et Kang H. (diteurs) Inverse Problems, Multi-Scale Analy- sis and Homogenization,Contemporary Mathematics, Volume 408 (2006), American Mathematical Society.
• Ammari H. et Kang H. Polarization and Moment Tensors with Ap- plications to Inverse Problems and Effective Medium Theory, Applied Mathematical Sciences, Volume 162, Springer-Verlag, New York 2007, 325 pages.
• Ammari H. (diteur), Modeling and Computations in Electromag- netics: A Volume Dedicated to Jean-Claude Ndlec, Lecture Notes in Computational Science and Engineering, Volume 59, Springer-Verlag, Berlin, 2007.
• Ammari H. An Introduction to Mathematics of Emerging Biomedi- cal Imaging, soumis Mathmatiques & Applications, Springer-Verlag, Berlin, 2007, 202 pages.
Thses
• Iakovleva E., Problme de difusion inverse par des petites inclusions lectromagntiques, Thse de doctorat de l’Ecole Polytechnique, 2004
• Soussi S., Quelques modlisations mathmatiques en optique, Thse de doctorat de l’Ecole Polytechnique, 2004
• Touibi K., Quelques problmes mathmatiques en imagerie des mi- crostructures, Thse de doctorat de l’Ecole Polytechnique, 2004
• Zribi H.., Techniques du potentiel pour des analyses de sensibilit, Thse de doctorat de l’Ecole Polytechnique, 2005
• Muga I., Mathematical Study of some Wave Problems Arising in Half- spaces, Universidad de Chile, 2005
• Laouti K., Dtection de la corrosion dans les pipelines, Thse de doc- torat de l’Ecole Polytechnique, 2006
• Ossandon S., Mathematical modeling, numerical analysis and compu- tational simulation of complex phenomena of propagation of acoustic, elastic and electromagnetic waves, Ecole Polytechnique, Pontificia Uni- versidad Catolica de Chile, 2006
Actes de confrences internationales avec comit de lec- ture
• Ammari H. Kang H. etLim M., Polarization tensors and their appli- cations, Proceedings of the second International Conference on Inverse Problems: recent developments and numerical approaches, Shanghai, 2004, Journal of Physics: Conference Series 12 (2005), 13–22.
• Ammari H.et Kang H., Generalized polarization tensors, inverse con- ductivity problems, and dilute composite materials: A review,Contem- porary Mathematics, Volume 408, 1–67, 2006.
• Ammari H., Kang H. et Zribi H., Electrostatics in high contrast materials, Journal of Computational Mathematics 25 (2007), 244–251.
• Duran M.,Hein R.,Muga I.etNdlec J.C., The Helmholtz equation with impedance Boundary Conditions in a Half-plane. Application to Compute Resonances in Marine Hydraulics, International Conference on Computational Methods in Marine Engineering (MARINE 2005), Oslo, Noruega, (2005) 579-590.
Notes aux Comptes Rendus de l’Acadmie des Sciences
• Duran M., Godoy E. et Ndlec J.C., Computing Green’s function of elasticity in a half-space with impedance boundary condition, C. R.
Acad. Sci. Paris, Mecanique, 334 (2006), 9, 725-731.
• Duran M., Muga I. et Ndlec J.C., The Helmholtz equation with impedance in a half-space, C. R. Acad. Sci. Paris, Srie I, 341 (2005), 9, 561-566.
• Duran M., Muga I. et Ndlec J.C., The Helmholtz equation with impedance in a half-plane, C. R. Acad. Sci. Paris, Srie I, 340 (2005), 7, 483–488.
Prpublications soumises une revue avec comit de lec- ture
• Asch M. et Seraphin M., Using Reduced Meshes for Simulations of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain, Preprint R.I. 620, CMAP, Ecole Polytechnique, 2007, 43 p.
• Dossevi A., Garnero L. et Ammari H., Automatic reconstruction of functional networks from a principal component analysis of the signals in MEG/EEG, soumis dans IEEE Transactions on Biomedical Engi- neering.
• Ammari H., Bonnetier E., Capdeboscq Y., Tanter M. et Fink M., Electrical impedance tomography by elastic deformation, soumis dans SIAM Journal on Applied Mathematics.
• Ammari H., Kang H. etLee H., Asymptotic analysis of high-contrast phononic crystals, soumis dans Archive for Rational Mechanics and Analysis.
• Ammari H., Kang H., Kim E., Lee H. et Louati K., Vibration testing for detecting internal corrosion, soumis dans SIAM Journal on Mathematical Analysis.
• Ammari H., Kang H., Lim M. et Zribi H., Layer potential tech- niques in spectral analysis. Part I: complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions, soumis dans Transactions of the American Mathematical Society.
• Ammari H., Kang H., Lim M. et Zribi H., Conductivity interface problems. Part I: small perturbations of an interface, soumis dansPro- ceedings of the American Mathematical Society.
• Ammari H., Kang H., Kim E.,Louati K.et Vogelius M., A MUSIC- type algorithm for detecting internal corrosion from electrostatic bound- ary measurements, soumis dans Numerische Mathematik.
• Ammari H., Calmon P. et Iakovleva E., Direct elastic imaging of a small inclusion, soumis dans SIAM Journal on Imaging Sciences.
• Hadjadj L., Hamdache K. et Hamroun D., Existence of solutions to a strongly coupled degenerated system arising in tumor modeling, Preprint CMAP. R.I N. 617 (2007).
