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Yves Capdeboscq

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Researcher identifiers

Presentation

I am a Professor at [Université Paris Cité](http://www.univ-paris-diderot.fr "Université de Paris") and a member of [Laboratoire Jacques-Louis Lions.](https://ljll.math.upmc.fr/ "Laboratoire Jacques-Louis Lions") I teach at [UFR de Mathématiques](https://www.math.univ-paris-diderot.fr/ "UFR de Mathématiques"), where I am in charge of the [MIASHS degree](https://licence.math.univ-paris-diderot.fr/miashs/ "Licence MIASHS"). 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](https://www.siam.org/Publications/Journals/SIAM-Journal-on-Mathematical-Analysis-SIMA "Siam Journal on Mathematical Analysis"). I was previously associated with - Associate Professor at the [Mathematical Institute](https://www.maths.ox.ac.uk/ "Mathematical Institute") of the University of Oxford and Felllow of [The Queen's College](https://www.queens.ox.ac.uk "Queen's College") - Chaire Junior of [Fondation Sciences Mathématiques de Paris](https://www.sciencesmaths-paris.fr/ "Fondation Sciences Mathématiques de Paris") - Von Neumann Fellow of the [School of Mathematics](https://www.math.ias.edu/ "School of Mathematics") of the Institute for Advanced Study - Maître de conférences at [Laboratoire de Mathématiques de Versailles](http://lmv.math.cnrs.fr/ "Laboratoire de Mathématiques de Versailles") of [Université de Versailles-Saint-Quentin](https://www.uvsq.fr/) - Maître de conférences at [Institut de Recherche Mathematiques de Rennes](https://www.insa-rennes.fr/irmar.html "L'Institut de Recherche Mathematiques de Rennes") of[ INSA Rennes](https://www.insa-rennes.fr/) - Hill Assistant Professor at the [Department of Mathematics](https://www.math.rutgers.edu/ "Department of Mathematics") of Rutgers University. You can reach me by email and by mail at Bureau 5018 Université Paris Cité Bâtiment Sophie Germain 8 Place Aurélie Nemours 75205 Paris CEDEX 13
Je suis Professeur à [Université Paris Cité](http://www.univ-paris-diderot.fr "Université de Paris") et membre du [Laboratoire Jacques-Louis Lions](https://ljll.math.upmc.fr/ "Laboratoire Jacques-Louis Lions") J'enseigne à l'[UFR de Mathématiques](https://www.math.univ-paris-diderot.fr "UFR de Mathématiques"), où je suis responsable de la [licence MIASHS](https://licence.math.univ-paris-diderot.fr/miashs/ "Licence MIASHS"). Mes activités de recherche s'articulent autour de l'analyse asymptotique d'équations aux dérivées partielles, et de l'étude des interactions entre plusieurs échelles. Ma formation initiale portait sur la théorie de l'homogénéisation, d'un point de vue théorique et numérique. Je me suis interessé ensuite au problème inverse de l'identification de paramètres. Depuis quelques années je travaille aussi sur des problèmes venant des sciences du vivant. Je suis actuellement éditeur associé de [Siam Journal on Mathematical Analysis](https://www.siam.org/Publications/Journals/SIAM-Journal-on-Mathematical-Analysis-SIMA "Siam Journal on Mathematical Analysis") Avant de venir à Université Paris Cité, j'ai été - Associate Professor au [Mathematical Institute](https://www.maths.ox.ac.uk/ "Mathematical Institute") et au [Queen's College](https://www.queens.ox.ac.uk "Queen's College") à Oxford - Chaire Junior de la [Fondation Sciences Mathématiques de Paris](https://www.sciencesmaths-paris.fr/ "Fondation Sciences Mathématiques de Paris") - Von Neumann Fellow à la [School of Mathematics](https://www.math.ias.edu/ "School of Mathematics") de l'Institute for Advanced Study - Maître de conférences au [Laboratoire de Mathématiques de Versailles](http://lmv.math.cnrs.fr/ "Laboratoire de Mathématiques de Versailles") de l'[Université de Versailles-Saint-Quentin](https://www.uvsq.fr/) - Maître de conférences à l'[Institut de Recherche Mathematiques de Rennes](https://www.insa-rennes.fr/irmar.html "L'Institut de Recherche Mathematiques de Rennes") de l'[INSA Rennes](https://www.insa-rennes.fr/) - Hill Assistant Professor au [Department of Mathematics](https://www.math.rutgers.edu/ "Department of Mathematics") de Rutgers University Je suis joignable par courriel et par courier au Bureau 5018 Bâtiment Sophie Germain Université de Paris 8 Place Aurélie Nemours 75205 Paris CEDEX 13

Publications

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On optimal cloaking-by-mapping transformations

Yves Capdeboscq , Michael S Vogelius
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (1), pp.303 - 316. ⟨10.1051/m2an/2022004⟩
Journal articles hal-03335152v2
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Extending representation formulas for boundary voltage perturbations of low volume fraction to very contrasted conductivity inhomogeneities

Yves Capdeboscq , Shaun Chen Yang Ong
Comptes Rendus. Mathématique, 2022, 360, pp.127--150. ⟨10.5802/crmath.273⟩
Journal articles hal-03171353v2
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Combining The Runge Approximation And The Whitney Embedding Theorem In Hybrid Imaging

Giovanni S. Alberti , Yves Capdeboscq
International Mathematics Research Notices, 2022, 2022 (6), pp.4387--4406. ⟨10.1093/imrn/rnaa162⟩
Journal articles hal-02092102v3
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An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering

Yves Capdeboscq , Roland Griesmaier , Marvin Knöller
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2021, 19 (2), pp.846--885. ⟨10.1137/20M1369907⟩
Journal articles hal-02950380v1
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On the randomised stability constant for inverse problems

Giovanni S. Alberti , Yves Capdeboscq , Yannick Privat
Mathematics in Engineering, 2020, 2 (2), pp.264-286. ⟨10.3934/mine.2020013⟩
Journal articles hal-02077786v2
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Finite Element Approximation Of Elliptic Homogenization Problems In Nondivergence-form

Timo Sprekeler , Yves Capdeboscq , Endre Süli
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (1221–1257), ⟨10.1051/m2an/2019093⟩
Journal articles hal-02142433v1
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Quantitative Jacobian Bounds For The Conductivity Equation In High Contrast Composite Media

Yves Capdeboscq , Shaun Chen Yang Ong
Discrete and Continuous Dynamical Systems - Series B, 2020, 25 (10), pp.3857-3887. ⟨10.3934/dcdsb.2020228⟩
Journal articles hal-02168286v2

Combining radon transform and electrical capacitance tomography for a 2d+1 imaging device

Yves Capdeboscq , Hrand Mamigonians , Aslam Sulaimalebbe , Vahe Tshitoyan
Inverse Problems, 2018, 34 (10), pp.104001, 14. ⟨10.1088/1361-6420/aad344⟩
Journal articles hal-02083836v1
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Stability estimates for systems with small cross-diffusion

Luca Alasio , Maria Bruna , Yves Capdeboscq
ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (3), pp.1109--1135. ⟨10.1051/m2an/2018036⟩
Journal articles hal-02083837v1

On a counter-example to quantitative Jacobian bounds

Yves Capdeboscq
J. Éc. polytech. Math., 2015, 2, pp.171--178. ⟨10.5802/jep.21⟩
Journal articles hal-02083832v1
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Elliptic regularity theory applied to time harmonic anisotropic Maxwell's equations with less than Lipschitz complex coefficients

Giovanni S. Alberti , Yves Capdeboscq
SIAM Journal on Mathematical Analysis, 2014, 46 (1), pp.998--1016. ⟨10.1137/130929539⟩
Journal articles hal-02083830v1

Corrigendum: On the scattered field generated by a ball inhomogeneity of constant index [MR2977333]

Yves Capdeboscq
Asymptotic Analysis, 2014, 88 (3), pp.185--186. ⟨10.3233/ASY-141240⟩
Journal articles hal-02083831v1

Interior Regularity Estimates in High Conductivity Homogenization and Application

Marc Briane , Yves Capdeboscq , Luc Nguyen
Archive for Rational Mechanics and Analysis, 2013, 207 (1), pp.75-137. ⟨10.1007/s00205-012-0553-0⟩
Journal articles hal-00771169v1

On one-dimensional inverse problems arising from polarimetric measurements of nematic liquid crystals

Yves Capdeboscq , Basang Tsering-Xiao
Inverse Problems, 2013, 29 (12), pp.125003, 22. ⟨10.1088/0266-5611/29/12/125003⟩
Journal articles hal-02083829v1

Numerical Computation of approximate Generalized Polarization Tensors

Yves Capdeboscq , Anton Bongio Karrman , Jean-Claude Nédélec
Applicable Analysis, 2012, 91 (6), pp.1189-1203. ⟨10.1080/00036811.2011.641175⟩
Journal articles hal-00770191v1
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On the scattered field generated by a ball inhomogeneity of constant index

Yves Capdeboscq
Asymptotic Analysis, 2012, 77 (3-4), pp.197--246
Journal articles hal-02083825v1

Root growth: homogenization in domains with time dependent partial perforations

Yves Capdeboscq , Mariya Ptashnyk
ESAIM: Control, Optimisation and Calculus of Variations, 2012, 18 (3), pp.856--876. ⟨10.1051/cocv/2011184⟩
Journal articles hal-02083828v1
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On uniqueness for time harmonic anisotropic Maxwell's equations with piecewise regular coefficients

John M. Ball , Yves Capdeboscq , Basang Tsering-Xiao
Mathematical Models and Methods in Applied Sciences, 2012, 22 (11), pp.1250036, 11. ⟨10.1142/S0218202512500364⟩
Journal articles hal-02083824v1
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Homogenization of a One-Dimensional Spectral Problem for a Singularly Perturbed Elliptic Operator with Neumann Boundary Conditions

Grégoire Allaire , Y. Capdeboscq , Marjolaine Puel
Discrete and Continuous Dynamical Systems - Series B, 2012, 17, pp.1-31. ⟨10.3934/dcdsb.2012.17.1⟩
Journal articles hal-00784042v1
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Microwave Imaging by Elastic Deformation

Habib Ammari , Yves Capdeboscq , Frédéric de Gournay , Faouzi Triki , Anna Rozanova-Pierrat et al.
SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2112-2130. ⟨10.1137/110828241⟩
Journal articles hal-00655840v1

Progress on the strong Eshelby's conjecture and extremal structures for the elastic moment tensor

Habib Ammari , Yves Capdeboscq , Hyeonbae Kang , Hyundae Lee , Graeme W. Milton et al.
Journal de Mathématiques Pures et Appliquées, 2010, 94 (1), pp.93--106. ⟨10.1016/j.matpur.2010.01.003⟩
Journal articles hal-02083821v1
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TWO ASYMPTOTIC MODELS FOR ARRAYS OF UNDERGROUND WASTE CONTAINERS

Grégoire Allaire , Marc Briane , Robert Brizzi , Yves Capdeboscq
Applicable Analysis, 2009, 88 (10-11), pp.1445-1467. ⟨10.1080/00036810902922590⟩
Journal articles hal-00352797v1
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Mathematical models and reconstruction methods in magneto-acoustic imaging

Habib Ammari , Yves Capdeboscq , Hyeonbae Kang , Anastasia Kozhemyak
European Journal of Applied Mathematics, 2009, 20 (3), pp.303-317. ⟨10.1017/S0956792509007888⟩
Journal articles hal-00288529v1

Thin cylindrical conductivity inclusions in a three-dimensional domain: a polarization tensor and unique determination from boundary data

Elena Beretta , Yves Capdeboscq , Frédéric de Gournay , Elisa Francini
Inverse Problems, 2009, 25 (6), 22p. ⟨10.1088/0266-5611/25/6/065004⟩
Journal articles hal-00681456v1

Enhanced Resolution in Structured Media

Habib Ammari , Eric Bonnetier , Yves Capdeboscq
SIAM Journal on Applied Mathematics, 2009, 70 (5), pp.1428-1452. ⟨10.1137/090748639⟩
Journal articles hal-00747929v1
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Thin cylindrical conductivity inclusions in a 3-dimensional domain: polarization tensor and unique determination from boundary data

Elena Beretta , Yves Capdeboscq , Elisa Francini
Inverse Problems, 2009, 25, pp.065004. ⟨10.1088/0266-5611/25/6/065004⟩
Journal articles hal-00342730v1
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Imaging by modification: numerical reconstruction of local conductivities from corresponding power density measurements

Yves Capdeboscq , Jérôme Fehrenbach , Frédéric de Gournay , Otared Kavian
SIAM Journal on Imaging Sciences, 2009, 2 (4), pp.1003--1030. ⟨10.1137/080723521⟩
Journal articles hal-00280599v2
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Two Asymptotic Models for Arrays of Underground Waste Containers

Grégoire Allaire , M. Briane , R. Brizzi , Y. Capdeboscq
Applicable Analysis, 2009, 88, pp.1445-1467
Journal articles hal-00784062v1

Improved Hashin-Shtrikman bounds for elastic moment tensors and an application

Yves Capdeboscq , Hyeonbae Kang
Applied Mathematics and Optimization, 2008, 57 (2), pp.263--288. ⟨10.1007/s00245-007-9022-9⟩
Journal articles hal-02083817v1
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Improved Hashin-Shtrikman Bounds for Elastic Moment Tensors and an Application

Yves Capdeboscq , Hyeonbae Kang
Applied Mathematics and Optimization, 2008, 57, pp.263-288. ⟨10.1007/s00245-007-9022-9⟩
Journal articles hal-00125289v1
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Imagerie Électromagnétique de petites inhomogénéités

Yves Capdeboscq , Michael S. Vogelius
ESAIM: Proceedings and Surveys, 2008, 22, pp.40-51. ⟨10.1051/proc:072204⟩
Journal articles hal-00150047v1
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Electrical Impedance Tomography by Elastic Deformation

Habib Ammari , Eric Bonnetier , Yves Capdeboscq , Mickael Tanter , Mathias Fink et al.
SIAM Journal on Applied Mathematics, 2008, 68 (6), pp.1557-1573. ⟨10.1137/070686408⟩
Journal articles hal-00128366v2
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Attainability by simply connected domains of optimal bounds for the polarization tensor

Habib Ammari , Yves Capdeboscq , Hyeonbae Kang , Eunjoo Kim , Mikyoung Lim et al.
European Journal of Applied Mathematics, 2006, 17 (2), pp.201--219. ⟨10.1017/S0956792506006541⟩
Journal articles hal-02083815v1

Expansion formulae for the homogenized determinant of anisotropic checkerboards

Marc Briane , Yves Capdeboscq
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⟩
Journal articles hal-00447685v1

Pointwise polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities

Yves Capdeboscq , Michael S. Vogelius
Asymptotic Analysis, 2006, 50 (3-4), pp.175--204
Journal articles hal-02083816v1
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Homogenization of periodic systems with large potentials

Grégoire Allaire , Yves Capdeboscq , Andrey Piatnitski , Vincent Siess , Muthusamy Vanninathan et al.
Archive for Rational Mechanics and Analysis, 2004, 174 (2), pp.179--220. ⟨10.1007/s00205-004-0332-7⟩
Journal articles hal-02083813v1

A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction

Yves Capdeboscq , Michael S. Vogelius
M2AN Math. Model. Numer. Anal., 2003, 37 (1), pp.159--173. ⟨10.1051/m2an:2003014⟩
Journal articles hal-02083809v1

Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements

Yves Capdeboscq , Michael S. Vogelius
M2AN Math. Model. Numer. Anal., 2003, 37 (2), pp.227--240. ⟨10.1051/m2an:2003024⟩
Journal articles hal-02083810v1
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Homogenization and localization with an interface

Grégoire Allaire , Yves Capdeboscq , Andrey Piatnitski
Indiana University Mathematics Journal, 2003, 52 (6), pp.1413--1446. ⟨10.1512/iumj.2003.52.2352⟩
Journal articles hal-02083811v1
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Homogenization and localization for a 1-D eigenvalue problem in a periodic medium with an interface

Grégoire Allaire , Yves Capdeboscq
Annali di Matematica Pura ed Applicata, 2002, 181 (3), pp.247--282. ⟨10.1007/s102310100040⟩
Journal articles hal-02083808v1
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Homogenization of a neutronic critical diffusion problem with drift

Yves Capdeboscq
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2002, 132 (3), pp.567--594. ⟨10.1017/S0308210500001785⟩
Journal articles hal-02083807v1
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Homogenization of a neutronic multigroup evolution model

Yves Capdeboscq
Asymptotic Analysis, 2000, 24 (2), pp.143--165
Journal articles hal-02083806v1
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Homogenization of a spectral problem in neutronic multigroup diffusion

Grégoire Allaire , Yves Capdeboscq
Computer Methods in Applied Mechanics and Engineering, 2000, 187 (1-2), pp.91--117. ⟨10.1016/S0045-7825(99)00112-7⟩
Journal articles hal-02083805v1

Homogenization of a diffusion equation with drift

Yves Capdeboscq
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 327 (9), pp.807--812. ⟨10.1016/S0764-4442(99)80109-8⟩
Journal articles hal-02083803v1
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Lectures on elliptic methods for hybrid inverse problems

Giovanni S. Alberti , Yves Capdeboscq
Julie DÉSERTI. Société Mathématique de France, Paris, 25, pp.vii + 230, 2018, Cours Spécialisés [Specialized Courses], Stéphane SEURET, 978-2-85629-872-5
Books hal-02083835v1

On a local non-zero constraints in PDE with analytic coefficients

Giovanni S. Alberti , Yves Capdeboscq
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⟩
Book sections hal-02083834v1

À propos de certains problèmes inverses hybrides

Giovanni S. Alberti , Yves Capdeboscq
Séminaire Laurent Schwartz−-Équations aux Dérivées Partielles et Applications. Année 2013−2014, Ed. Éc. Polytech., Palaiseau, Exp. No. II, 9, 2014
Book sections hal-02083833v1

On the scattered field generated by a ball inhomogeneity of constant index in dimension three

Yves Capdeboscq , George Leadbetter , Andrew Parker
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⟩
Book sections hal-02083827v1

Improved bounds on the polarization tensor for thick domains

Yves Capdeboscq , Hyeonbae Kang
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⟩
Book sections hal-02083814v1

A review of some recent work on impedance imaging for inhomogeneities of low volume fraction

Yves Capdeboscq , Michael S. Vogelius
Partial differential equations and inverse problems, 362, Amer. Math. Soc., Providence, RI, pp.69--87, 2004, Contemp. Math., ⟨10.1090/conm/362/06606⟩
Book sections hal-02083812v1