Skip to Main content

Keywords

Researcher identifiers

Social networks

Number of documents

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, Shaun Ong. EXTENDING REPRESENTATION FORMULAE FOR BOUNDARY VOLTAGE PERTURBATIONS OF LOW VOLUME FRACTION TO VERY CONTRASTED CONDUCTIVITY INHOMOGENEITIES. 2021. ⟨hal-03171353⟩
  • Yves Capdeboscq, Michael Vogelius. Wavelet Based Homogenization of a 2 Dimensional Elliptic Problem. 2003. ⟨hal-00021467⟩

Journal articles42 documents

  • Yves Capdeboscq, Roland Griesmaier, Marvin Knöller. An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, In press. ⟨hal-02950380⟩
  • 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, 2020, 25 (10), pp.3857-3887. ⟨10.3934/dcdsb.2020228⟩. ⟨hal-02168286v2⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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. Corrigendum: On the scattered field generated by a ball inhomogeneity of constant index [MR2977333]. Asymptotic Analysis, IOS Press, 2014, 88 (3), pp.185--186. ⟨hal-02083831⟩
  • 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, 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⟩
  • 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⟩
  • 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⟩
  • John M. Ball, Yves Capdeboscq, Basang Tsering-Xiao. On uniqueness for time harmonic anisotropic Maxwell's equations with piecewise regular coefficients. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2012, 22 (11), pp.1250036, 11. ⟨10.1142/S0218202512500364⟩. ⟨hal-02083824⟩
  • 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. On the scattered field generated by a ball inhomogeneity of constant index. Asymptotic Analysis, IOS Press, 2012, 77 (3-4), pp.197--246. ⟨hal-02083825⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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, Jérôme Fehrenbach, Frédéric de Gournay, 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⟩
  • 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. Applied Mathematics and Optimization, Springer Verlag (Germany), 2008, 57, pp.263-288. ⟨10.1007/s00245-007-9022-9⟩. ⟨hal-00125289⟩
  • 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⟩
  • Yves Capdeboscq, Hyeonbae Kang. Improved Hashin-Shtrikman bounds for elastic moment tensors and an application. Applied Mathematics and Optimization, Springer Verlag (Germany), 2008, 57 (2), pp.263--288. ⟨10.1007/s00245-007-9022-9⟩. ⟨hal-02083817⟩
  • 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⟩
  • Yves Capdeboscq, Michael S. Vogelius. Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities. Asymptotic Analysis, IOS Press, 2006, 50 (3-4), pp.175--204. ⟨hal-02083816⟩
  • Habib Ammari, Yves Capdeboscq, Hyeonbae Kang, Eunjoo Kim, Mikyoung Lim. Attainability by simply connected domains of optimal bounds for the polarization tensor. European Journal of Applied Mathematics, Cambridge University Press (CUP), 2006, 17 (2), pp.201--219. ⟨10.1017/S0956792506006541⟩. ⟨hal-02083815⟩
  • Grégoire Allaire, Yves Capdeboscq, Andrey Piatnitski, Vincent Siess, Muthusamy 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⟩
  • 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⟩
  • 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. 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⟩
  • 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⟩
  • Yves Capdeboscq. Homogenization of a neutronic critical diffusion problem with drift. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2002, 132 (3), pp.567--594. ⟨10.1017/S0308210500001785⟩. ⟨hal-02083807⟩
  • 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. Asymptotic Analysis, IOS Press, 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. Julie DÉSERTI. Société Mathématique de France, Paris, 25, pp.vii + 230, 2018, Cours Spécialisés [Specialized Courses], Stéphane SEURET, 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⟩