Research

– Theoretical and numerical aspects of inverse problem theory
– Main research interests
  • Direct and Inverse scattering
  • Wave propagation in complex media
  • Time reversal
  • Sampling and qualitative identification techniques
  • Hybrid inverse problems using internal measurements
  • Non destructive evaluation
  • Applications in Medical and Geophysical Imaging
– Other research interests
  • Structural optimization
  • Fracture mechanics
  • Asymptotic methods

Resume

Appointments
– 02/2013 ‐ date:
    Junior research scientist (CR2), Laboratoire de Mécanique et d'Acoustique, CNRS
    Adjunct associate research scientist, Lamont‐Doherty Earth Observatory, Columbia University
– 09/2012 ‐ 01/2013 Postdoctoral research scientist, Lamont‐Doherty Earth Observatory, Columbia University
– 02/2011 ‐ 08/2012 Postdoctoral research scientist, Department of Applied Physics & Applied Mathematics, Columbia University

Education
– PhD 2010
  • Joint program Mechanics, Ecole Polytechnique (France) & Civil Engineering, University of Minnesota (USA)
  • Subject: Qualitative Methods for Inverse Scattering in Solid Mechanics
  • Advisors: Marc Bonnet and Bojan Guzina
  • Ph.D. dissertation (abstract and pdf)
– MSc 2008 Applied Mathematics and Numerical Analysis, University Paris 6 Pierre & Marie Curie
– BSc 2005, MSc 2007 Mechanical and Computational Engineering, ENS Cachan

Other
– Tesina d'Especialitat, University of Catalunya, Spain.
– Advanced Integral Equation Methods in Computational Mechanics, CISM‐IUTAM Summer School coordinated by Marc Bonnet.

Publications

Referred papers

    1. CB, M. Trabelsi, F. Fremy. "Reconstructing material properties by deconvolution of full-field measurement images. The conductivity case". Accepted in Inverse Problems, 2016.
    2. CB. "Converting strain maps into elasticity maps for materials with small contrast". J. Mech. Phys. Solids, 2016.
    3. CB., H. Moulinec. "A full-field image conversion method for the inverse conductivity problem with internal measurements". Proc. Roy. Soc. A, 2016.
    4. G. Bal, CB., S. Imperiale, F. Monard. "Reconstruction of constitutive parameters in isotropic linear elasticity from noisy full-field measurements". Inverse Problems, 2014.
    5. CB., B. Holtzman. "Sensitivity of seismic measurements to frequency-dependent attenuation and upper mantle structure: an initial approach". Journal of Geophysical Research – Solid Earth, 2014.
    6. A. Ben Jazia, B. Lombard, CB. "Wave propagation in a fractional viscoelastic Andrade medium: diffusive approximation and numerical modeling". Wave Motion, 2014.
    7. CB., S. Imperiale. "Reciprocity identities for quasi‐static piezoelectric transducer models: Application to cavity identification using iterated excitations and a topological sensitivity approach". Wave Motion, 2014.
    8. CB., M. Bonnet, F. Cakoni. "Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals". Inverse Problems, 2013.
    9. CB., M. Bonnet, B. Guzina. "Apposition of the topological sensitivity and linear sampling approaches to inverse scattering". Wave Motion, 2013.
    10. CB., S. Imperiale. "Dynamical 1D models of passive piezoelectric sensors". Math. Mech. Solids, 2013.
    11. CB., M. Bonnet. "Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation". Comput. Meth. Appl. Mech. Eng., 2013.
    12. CB., A. Constantinescu, T. Coquet, T. Jaravel, A. Lechleiter. "A non‐iterative sampling approach using noise subspace projection for EIT". Inverse Problems, 2012.
    13. CB., F. Cakoni, B. Guzina. "Nature of the transmission eigenvalue spectrum for elastic bodies". IMA J. Appl. Math., 2012.
    14. B. Guzina, F. Cakoni, CB. "On the multi‐frequency obstacle reconstruction via the linear sampling method". Inverse Problems, 2010.
    15. CB., B. Guzina. "On the existence and uniqueness of a solution to the interior transmission problem for piecewise‐homogeneous solids". J. of Elasticity, 2010.
    16. CB., M. Bonnet. "A FEM‐based topological sensitivity approach for fast qualitative identification of buried cavities from elastodynamic overdetermined boundary data". Int. J. of Solids and Structures, 2010.
    17. CB., M. Bonnet. "Crack identification by 3D time‐domain elastic or acoustic topological sensitivity". C.R. Mecanique 337, 2009.

    Conferences

    • CB., P. Suquet, "Converting strain maps into elasticity maps for materials with small contrast". XXIV ICTAM, Montreal, Canada, 2016.
    • CB., P. Suquet, "Converting strain maps into elasticity maps for materials with small contrast". SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, USA, 2016.
    • CB., M. Bonnet, F. Cakoni, "Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals." European GDR 2501, Aussois, France, 2015.
    • CB., H. Moulinec, "A FFT-based numerical method to convert intensity maps into conductivity contrast maps". WAVES, Karlsruhe, Germany, 2015.
    • CB., H. Moulinec, "Sur une methode de conversion d'images de mesures de champs : Application au probleme inverse de conductivite". Colloque National en Calcul des Structures, Giens, France, 2015.
    • CB., M. Bonnet, F. Cakoni, "Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals". Workshop GOMS Problemes inverses et domaines associes, Marseille, France, 2015.
    • G. Bal, CB., S. Imperiale, F. Monard, "Reconstruction of elastic moduli from noisy full-field measurements". In WCCM - ECCM, Barcelona, Spain, July 2014.
    • CB., M. Bonnet, F. Cakoni. "Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals". SIAM Conf. Imaging Science, Hong Kong, May 2014.
    • A. Ben Jazia, B. Lombard, CB. "Wave propagation in a fractional viscoelastic medium: diffusive approximation and numerical modeling". 9th Int. Conf. Mechanics of Time Dependent Materials, Montreal, Canada, May 2014.
    • CB., P.-Y. P. Lin, B. Holtzman, J. Gaherty, M. Roy. "Imaging the attenuation structure beneath the northwestern margin of Colorado Plateau: Integrating seismic body-wave observations and forward modeling". AGU meeting, San Francisco CA, USA, Dec 2013.
    • B. Holtzman, CB, "How sensitive is t* to wave propagation in the frequency-dependent anelastic upper mantle?". CIDER Workshop on Seismic Attenuation in the Earth's Mantle, LDEO, USA, May 2013.
    • P.-Y. P. Lin, J. Gaherty, B. Holtzman, CB., M. Roy. "Body-wave attenuation imaging across the northwestern margin of the colorado plateau". AGU meeting, San Francisco CA, USA, Dec 2012.
    • CB., A. Constantinescu, A. Lechleiter, "A non-iterative sampling approach using noise subspace projection for EIT". PICOF, Palaiseau, France, Apr. 2012.
    • CB., M. Bonnet. "Wave‐based crack imaging in elastic solids using 3D time‐domain topological sensitivity". WAVES ‐ Vancouver, Canada, July 2011.
    • CB., M. Bonnet. "Dynamical identification of cracks in 3D elastic bodies using topological sensitivity". USNCCM ‐ Minneapolis, USA, July 2011.
    • CB., M. Bonnet. "Identifying cracks in homogeneous and bimaterial bodies using 3D elastodynamic topological sensitivity" . EURODYN ‐ Leuven, Belgium, July 2011.
    • CB. "Qualitative methods for inverse scattering in solid mechanics". GRACM ‐ ICCM, Athens, Greece, June‐July 2011
    • CB., M. Bonnet. "Identification de fissures dans des milieux homogènes ou bimatériaux par sensibilité topologique élastodynamique temporelle". Poster ‐ Colloque National en Calcul des Structures ‐ Giens, France, May 2011.
    • CB., B. Guzina. "Interior transmission problem for piecewise‐homogeneous solids". USNCTAM ‐ State College PA, USA, June‐July 2010.
    • CB., M. Bonnet. "Crack identification in elasticity using 3D time‐domain topological derivative". ECCM ‐ Paris, France, May 2010.
    • CB., M. Bonnet. "Identification de fissures par la méthode de sensibilité topologique en élastodynamique temporelle". GDR ONDES & MSPC ‐ Institut Henri Poincaré, Paris, France, Sept 2010.
    • CB., M. Bonnet. "Qualitative crack indentification by 3D time-domain topological sensitivity". Poster ‐ Stability and Nonlinearity in Solid Mechanics: a symposium to honor Nguyen Quoc Son ‐ Institut Henri Poincaré, Paris, France, Sept 2010.
    • CB., B. Guzina. "Solving the interior transmission problem in geophysical imaging". Poster ‐ IPRPI Symposium on Inverse Problems and System Identification of GeoSystems ‐ Rensselaer Polytechnic Institute, Troy NY, USA, Mar 2010.
    • CB., B. Guzina. "Interior transmission problem for piecewise-homogeneous solids". Poster ‐ MMNS Workshop on Inverse Problems for Waves: Methods and Applications ‐ Ecole Polytechnique, Palaiseau, France, Mar 2010.
    • CB., M. Bonnet, B. Guzina. "Non‐iterative defect identification by topological sensitivity method". WAVES ‐ Pau, France, Jun 2009.
    • CB., M. Bonnet. "Identification non itérative de défauts par la méthode de sensibilité topologique en élastodynamique temporelle". Colloque National en Calcul des Structures ‐ Giens, France, May 2009.
    • CB., M. Bonnet. "A non‐iterative FEM‐based cavity identification method using topological sensitivity for 2D and 3D time domain elastodynamics". WCCM & ECCOMAS ‐ Venice, Italy, Jun 2008.
    • CB., M. Bonnet. "Identification de cavités par la méthode de sensibilité topologique en élastodynamique temporelle". GDR ONDES ‐ ESPCI, Paris, France, Dec 2008.

    Invited talks

    • Chair of Mechanics and Materials, ETH Zurich, Switzerland, July 2016
    • Saint-Gobain, CREE, Cavaillon, France, June 2016
    • Saint-Gobain, Northboro R&D Center, USA, May 2016
    • Waves In Complex Continua (WICC) group, University of Manchester, England, Oct. 2015
    • Laboratoire de Mécanique et d'Acoustique ‐ CNRS, Marseille, France, July 2014.
    • POems, ENSTA, Palaiseau, France, Dec 2013.
    • MSME, Universite Paris Est, Marne-la-Vallee, France, Nov 2013.
    • Mechanical Engineering Seminar, Boston University, USA, May 2013.
    • Laboratoire de Mécanique et d'Acoustique ‐ CNRS, Marseille, France, Apr 2013.
    • SGT/MGG Seminar ‐ Lamont-Doherty Earth Observatory, Palisades NY, USA, Nov 2012.
    • Civil Infrastructures Seminar ‐ Cornell University, Ithaca NY, USA, Oct 2011.
    • Scattering Theory Seminar ‐ University of Delaware, Newark DE, USA, Apr 2011.
    • Applied Mathematics Colloquium ‐ Columbia University, New-York NY, USA, Feb 2011.
    • Laboratoire de Mécanique et d'Acoustique ‐ CNRS, Marseille, France, Dec 2010.
    • Laboratoire de Mécanique des Solides ‐ Ecole Polytechnique, Palaiseau, France, Nov 2010.
    • Laboratoire de Simulation en Mécanique des Solides ‐ EPFL, Lausanne, Switzerland, Oct 2010.
    • Applied Mathematics Colloquium ‐ Columbia University, New-York NY, USA, May 2010.
    • Ultrasound and Elasticity Imaging Laboratory ‐ Columbia University, New-York NY, USA, May 2010.
    • DeFI Seminar ‐ CMAP Ecole Polytechnique, Palaiseau, France, Nov 2009.
    • Geomechanics Seminar ‐ UMN, Minneapolis MN, USA, Sept 2009.
    • Geomechanics Seminar ‐ UMN, Minneapolis MN, USA, May 2009.

Teaching

Aix-Marseille University & Centrale Marseille 2014 ‐ 2016
  • Inverse Problems
  • Research projects
Columbia University 2011 ‐ 2013
  • Mechanisms & Measurement of Seismic Wave Attenuation - Ben Holtzman
  • Applied Functional Analysis (substitute) - Guillaume Bal
  • Partial Differential Equations (substitute) - G. Bal
ENSTA 2008 ‐ 2011 Ecole Polytechnique 2008 ‐ 2011

Miscellaneous