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50

Yves Capdeboscq


I am a Professor at Université de Paris and a member of Laboratoire Jacques-Louis Lions.

My research is focused on the interaction of multiple scales in physical phenomenon modelled by partial differential equations.
I am particularly interested in homogenization and inverse problems, both theoretically and numerically.

I am currently an associate editor of the Siam Journal on Mathematical Analysis.

I was previously associated with

 

You can reach me by email yves.capdeboscq@ljll.univ-paris-diderot.fr, and by mail at

Bureau 5018
Université de Paris
Bâtiment Sophie Germain
8 Place Aurélie Nemours
75205 Paris CEDEX 13
 


Preprints, Working Papers, ...2 documents

  • Yves Capdeboscq, Roland Griesmaier, Marvin Knöller. An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. 2020. ⟨hal-02950380⟩
  • Yves Capdeboscq, Michael Vogelius. Wavelet Based Homogenization of a 2 Dimensional Elliptic Problem. 2003. ⟨hal-00021467⟩

Journal articles42 documents

  • Timo Sprekeler, Yves Capdeboscq, Endre Süli. Finite Element Approximation Of Elliptic Homogenization Problems In Nondivergence-form. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2020, 54 (1221–1257), ⟨10.1051/m2an/2019093⟩. ⟨hal-02142433⟩
  • Giovanni S. Alberti, Yves Capdeboscq. Combining The Runge Approximation And The Whitney Embedding Theorem In Hybrid Imaging. International Mathematics Research Notices, Oxford University Press (OUP), In press, ⟨10.1093/imrn/rnaa162⟩. ⟨hal-02092102v3⟩
  • Giovanni S. Alberti, Yves Capdeboscq, Yannick Privat. On the randomised stability constant for inverse problems. Mathematics in Engineering, AIMS, 2020, 2 (2), pp.264-286. ⟨10.3934/mine.2020013⟩. ⟨hal-02077786v2⟩
  • Yves Capdeboscq, Shaun Chen Yang Ong. Quantitative Jacobian Bounds For The Conductivity Equation In High Contrast Composite Media. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, In press, ⟨10.3934/dcdsb.2020228⟩. ⟨hal-02168286v2⟩
  • Luca Alasio, Maria Bruna, Yves Capdeboscq. Stability estimates for systems with small cross-diffusion. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2018, 52 (3), pp.1109--1135. ⟨10.1051/m2an/2018036⟩. ⟨hal-02083837⟩
  • Yves Capdeboscq, Hrand Mamigonians, Aslam Sulaimalebbe, Vahe Tshitoyan. Combining radon transform and electrical capacitance tomography for a 2d+1 imaging device. Inverse Problems, 2018, 34 (10), pp.104001, 14. ⟨10.1088/1361-6420/aad344⟩. ⟨hal-02083836⟩
  • Yves Capdeboscq. On a counter-example to quantitative Jacobian bounds. J. Éc. polytech. Math., 2015, 2, pp.171--178. ⟨10.5802/jep.21⟩. ⟨hal-02083832⟩
  • Yves Capdeboscq. Corrigendum: On the scattered field generated by a ball inhomogeneity of constant index [MR2977333]. Asymptot. Anal., 2014, 88 (3), pp.185--186. ⟨hal-02083831⟩
  • Giovanni S. Alberti, Yves Capdeboscq. Elliptic regularity theory applied to time harmonic anisotropic Maxwell's equations with less than Lipschitz complex coefficients. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2014, 46 (1), pp.998--1016. ⟨10.1137/130929539⟩. ⟨hal-02083830⟩
  • Yves Capdeboscq, Basang Tsering-Xiao. On one-dimensional inverse problems arising from polarimetric measurements of nematic liquid crystals. Inverse Problems, 2013, 29 (12), pp.125003, 22. ⟨10.1088/0266-5611/29/12/125003⟩. ⟨hal-02083829⟩
  • Marc Briane, Yves Capdeboscq, Luc Nguyen. Interior Regularity Estimates in High Conductivity Homogenization and Application. Archive for Rational Mechanics and Analysis, Springer Verlag, 2013, 207 (1), pp.75-137. ⟨10.1007/s00205-012-0553-0⟩. ⟨hal-00771169⟩
  • Yves Capdeboscq. On the scattered field generated by a ball inhomogeneity of constant index. Asymptot. Anal., 2012, 77 (3-4), pp.197--246. ⟨hal-02083825⟩
  • John M. Ball, Yves Capdeboscq, Basang Tsering-Xiao. On uniqueness for time harmonic anisotropic Maxwell's equations with piecewise regular coefficients. Math. Models Methods Appl. Sci., 2012, 22 (11), pp.1250036, 11. ⟨10.1142/S0218202512500364⟩. ⟨hal-02083824⟩
  • Yves Capdeboscq, Mariya Ptashnyk. Root growth: homogenization in domains with time dependent partial perforations. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2012, 18 (3), pp.856--876. ⟨10.1051/cocv/2011184⟩. ⟨hal-02083828⟩
  • Grégoire Allaire, Y. Capdeboscq, Marjolaine Puel. Homogenization of a One-Dimensional Spectral Problem for a Singularly Perturbed Elliptic Operator with Neumann Boundary Conditions. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2012, 17, pp.1-31. ⟨10.3934/dcdsb.2012.17.1⟩. ⟨hal-00784042⟩
  • Yves Capdeboscq, Anton Bongio Karrman, Jean-Claude Nédélec. Numerical Computation of approximate Generalized Polarization Tensors. Applicable Analysis, Taylor & Francis, 2012, 91 (6), pp.1189-1203. ⟨10.1080/00036811.2011.641175⟩. ⟨hal-00770191⟩
  • Habib Ammari, Yves Capdeboscq, Frédéric de Gournay, Faouzi Triki, Rozanova-Pierrat Anna. Microwave Imaging by Elastic Deformation. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2011, 71 (6), pp.2112-2130. ⟨10.1137/110828241⟩. ⟨hal-00655840⟩
  • Habib Ammari, Yves Capdeboscq, Hyeonbae Kang, Hyundae Lee, Graeme W. Milton, et al.. Progress on the strong Eshelby's conjecture and extremal structures for the elastic moment tensor. Journal de Mathématiques Pures et Appliquées, Elsevier, 2010, 94 (1), pp.93--106. ⟨10.1016/j.matpur.2010.01.003⟩. ⟨hal-02083821⟩
  • Elena Beretta, Yves Capdeboscq, Frédéric de Gournay, Elisa Francini. Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data. Inverse Problems, IOP Publishing, 2009, 25 (6), 22p. ⟨10.1088/0266-5611/25/6/065004⟩. ⟨hal-00681456⟩
  • Yves Capdeboscq, Frédéric de Gournay, Jérôme Fehrenbach, Otared Kavian. Imaging by modification: numerical reconstruction of local conductivities from corresponding power density measurements. SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, 2009, 2 (4), pp.1003--1030. ⟨10.1137/080723521⟩. ⟨hal-00280599v2⟩
  • Elena Beretta, Yves Capdeboscq, Elisa Francini. Thin cylindrical conductivity inclusions in a 3-dimensional domain: polarization tensor and unique determination from boundary data. Inverse Problems, IOP Publishing, 2009, 25, pp.065004. ⟨10.1088/0266-5611/25/6/065004⟩. ⟨hal-00342730⟩
  • Habib Ammari, Yves Capdeboscq, Hyeonbae Kang, Anastasia Kozhemyak. Mathematical models and reconstruction methods in magneto-acoustic imaging. European J. Appl. Math., 2009, 20 (3), pp.303--317. ⟨10.1017/S0956792509007888⟩. ⟨hal-02083818⟩
  • Habib Ammari, Yves Capdeboscq, Hyeonbae Kang, Anastasia Kozhemyak. Mathematical models and reconstruction methods in magneto-acoustic imaging. European Journal of Applied Mathematics, Cambridge University Press (CUP), 2009, 20 (3), pp.303-317. ⟨10.1017/S0956792509007888⟩. ⟨hal-00288529⟩
  • Grégoire Allaire, M. Briane, R. Brizzi, Y. Capdeboscq. Two Asymptotic Models for Arrays of Underground Waste Containers. Applicable Analysis, Taylor & Francis, 2009, 88, pp.1445-1467. ⟨hal-00784062⟩
  • Grégoire Allaire, Marc Briane, Robert Brizzi, Yves Capdeboscq. TWO ASYMPTOTIC MODELS FOR ARRAYS OF UNDERGROUND WASTE CONTAINERS. Applicable Analysis. An International Journal, 2009, 88 (10-11), pp.1445-1467. ⟨10.1080/00036810902922590⟩. ⟨hal-00352797⟩
  • Habib Ammari, Eric Bonnetier, Yves Capdeboscq. Enhanced Resolution in Structured Media. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2009, 70 (5), pp.1428-1452. ⟨10.1137/090748639⟩. ⟨hal-00747929⟩
  • Yves Capdeboscq, Hyeonbae Kang. Improved Hashin-Shtrikman Bounds for Elastic Moment Tensors and an Application. Applied Mathematics and Optimization, Springer Verlag (Germany), 2008, 57, pp.263-288. ⟨10.1007/s00245-007-9022-9⟩. ⟨hal-00125289⟩
  • Yves Capdeboscq, Michael Vogelius. Imagerie Électromagnétique de petites inhomogénéités. ESAIM: Proceedings and Surveys, EDP Sciences, 2008, 22, pp.40-51. ⟨10.1051/proc:072204⟩. ⟨hal-00150047⟩
  • Yves Capdeboscq, Hyeonbae Kang. Improved Hashin-Shtrikman bounds for elastic moment tensors and an application. Appl. Math. Optim., 2008, 57 (2), pp.263--288. ⟨10.1007/s00245-007-9022-9⟩. ⟨hal-02083817⟩
  • Habib Ammari, Eric Bonnetier, Yves Capdeboscq, Mickael Tanter, Mathias Fink. Electrical Impedance Tomography by Elastic Deformation. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2008, 68 (6), pp.1557-1573. ⟨10.1137/070686408⟩. ⟨hal-00128366v2⟩
  • Marc Briane, Yves Capdeboscq. Expansion formulae for the homogenized determinant of anisotropic checkerboards. Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, 2006, 462 (2073), pp.2759-2779. ⟨10.1098/rspa.2006.1690⟩. ⟨hal-00447685⟩
  • Habib Ammari, Yves Capdeboscq, Hyeonbae Kang, Eunjoo Kim, Mikyoung Lim. Attainability by simply connected domains of optimal bounds for the polarization tensor. European J. Appl. Math., 2006, 17 (2), pp.201--219. ⟨10.1017/S0956792506006541⟩. ⟨hal-02083815⟩
  • Yves Capdeboscq, Michael S. Vogelius. Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities. Asymptot. Anal., 2006, 50 (3-4), pp.175--204. ⟨hal-02083816⟩
  • Grégoire Allaire, Yves Capdeboscq, Andrey Piatnitski, Vincent Siess, M. Vanninathan. Homogenization of periodic systems with large potentials. Archive for Rational Mechanics and Analysis, Springer Verlag, 2004, 174 (2), pp.179--220. ⟨10.1007/s00205-004-0332-7⟩. ⟨hal-02083813⟩
  • Grégoire Allaire, Yves Capdeboscq, Andrey Piatnitski. Homogenization and localization with an interface. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2003, 52 (6), pp.1413--1446. ⟨10.1512/iumj.2003.52.2352⟩. ⟨hal-02083811⟩
  • Yves Capdeboscq, Michael S. Vogelius. A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. M2AN Math. Model. Numer. Anal., 2003, 37 (1), pp.159--173. ⟨10.1051/m2an:2003014⟩. ⟨hal-02083809⟩
  • Yves Capdeboscq, Michael S. Vogelius. Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. M2AN Math. Model. Numer. Anal., 2003, 37 (2), pp.227--240. ⟨10.1051/m2an:2003024⟩. ⟨hal-02083810⟩
  • Yves Capdeboscq. Homogenization of a neutronic critical diffusion problem with drift. Proc. Roy. Soc. Edinburgh Sect. A, 2002, 132 (3), pp.567--594. ⟨10.1017/S0308210500001785⟩. ⟨hal-02083807⟩
  • Grégoire Allaire, Yves Capdeboscq. Homogenization and localization for a 1-D eigenvalue problem in a periodic medium with an interface. Annali di Matematica Pura ed Applicata, Springer Verlag, 2002, 181 (3), pp.247--282. ⟨10.1007/s102310100040⟩. ⟨hal-02083808⟩
  • Grégoire Allaire, Yves Capdeboscq. Homogenization of a spectral problem in neutronic multigroup diffusion. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2000, 187 (1-2), pp.91--117. ⟨10.1016/S0045-7825(99)00112-7⟩. ⟨hal-02083805⟩
  • Yves Capdeboscq. Homogenization of a neutronic multigroup evolution model. Asymptot. Anal., 2000, 24 (2), pp.143--165. ⟨hal-02083806⟩
  • Yves Capdeboscq. Homogenization of a diffusion equation with drift. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1998, 327 (9), pp.807--812. ⟨10.1016/S0764-4442(99)80109-8⟩. ⟨hal-02083803⟩

Books1 document

  • Giovanni S. Alberti, Yves Capdeboscq. Lectures on elliptic methods for hybrid inverse problems. Société Mathématique de France, Paris, 25, pp.vii + 230, 2018, Cours Spécialisés [Specialized Courses], 978-2-85629-872-5. ⟨hal-02083835⟩

Book sections5 documents

  • Giovanni S. Alberti, Yves Capdeboscq. On a local non-zero constraints in PDE with analytic coefficients. Imaging, multi-scale and high contrast partial differential equations, 660, Amer. Math. Soc., Providence, RI, pp.89--97, 2016, Contemp. Math., ⟨10.1090/conm/660/13260⟩. ⟨hal-02083834⟩
  • Giovanni S. Alberti, Yves Capdeboscq. À propos de certains problèmes inverses hybrides. Séminaire Laurent Schwartz−-Équations aux Dérivées Partielles et Applications. Année 2013−2014, Ed. Éc. Polytech., Palaiseau, Exp. No. II, 9, 2014. ⟨hal-02083833⟩
  • Yves Capdeboscq, George Leadbetter, Andrew Parker. On the scattered field generated by a ball inhomogeneity of constant index in dimension three. Multi-scale and high-contrast PDE: from modelling, to mathematical analysis, to inversion, 577, Amer. Math. Soc., Providence, RI, pp.61--80, 2012, Contemp. Math., ⟨10.1090/conm/577/11463⟩. ⟨hal-02083827⟩
  • Yves Capdeboscq, Hyeonbae Kang. Improved bounds on the polarization tensor for thick domains. Inverse problems, multi-scale analysis and effective medium theory, 408, Amer. Math. Soc., Providence, RI, pp.69--74, 2006, Contemp. Math., ⟨10.1090/conm/408/07686⟩. ⟨hal-02083814⟩
  • Yves Capdeboscq, Michael S. Vogelius. A review of some recent work on impedance imaging for inhomogeneities of low volume fraction. Partial differential equations and inverse problems, 362, Amer. Math. Soc., Providence, RI, pp.69--87, 2004, Contemp. Math., ⟨10.1090/conm/362/06606⟩. ⟨hal-02083812⟩