Yves Capdeboscq

 

Picture of Yves Capdeboscq
Andrew Wiles Building, S1.16
Tel : +44 1865 615 125
yves.capdeboscq@maths.ox.ac.uk

Associate Professor and Senior Mathematics Tutor of The Queen's College.

Homogenization of a Diffusion Equation with Drift.
Note aux comptes rendus de l'Académie des Sciences, Série I, Math. 327, No.9, pp. 807-812 (1998).
Homogenization of a Spectral Problem in Neutronic Multigroup Diffusion.
With Grégoire Allaire.
Computer Methods in Applied Mechanics and Engineering, 187, No.1-2, pp. 91-117 (2000). (pdf)
Homogenization of a Neutronic Multigroup Evolution Model.
Asymptotic Analysis, 24, No.2, pp. 143-165 (2000). (pdf)
Homogenization of a Neutronic Critical Diffusion Problem with Drift.
Proceedings of The Royal Society of Edinburgh, 132A, pp. 567-594 (2002). (pdf)
Homogenization of a 1-D Eigenvalue Problem in a Periodic Medium with an Interface.
With Grégoire Allaire.
Annali di Matematica Pura ed Applicata, 181, No. 3, pp. 247-282 (2002). (pdf)
A general representation formula for boundary voltage perturbations caused by internal conducti\vity inhomogeneities of low volume fraction. 
With Michael S. Vogelius.
Mathematical Modelling and Numerical Analysis, 37, No. 1, pp. 159-174 (2003). (pdf)
  Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. 
With Michael S. Vogelius.
Mathematical Modelling and Numerical Analysis, 37, No. 2, pp. 227-240 (2003). (pdf)
Homogenization and Localization with an Interface. 
With Grégoire Allaire and Andrei Piatnitski.
Indiana University Mathematics Journal, 52, pp. 1413-1446 (2003). (pdf)
Homogenization of periodic systems with large potentials. 
With Grégoire Allaire, Andrey Piatnitski, Vincent Siess and M. Vanninathan.
Archive for Rational Mechanics and Analysis , 174, No.2, pp. 179-220 (2004). (pdf)
A review of some recent work on impedance imaging for inhomogeneities of low volume fraction. 
With Michael S. Vogelius.
Partial differential equations and inverse problems, Contemporary Mathematics, 362, pp. 69-87 (2004). (pdf)
Expansion formulae for the homogenized determinant of anisotropic checkerboards. 
With Marc Briane.
Proceedings of the Royal Society of London A, 462, pp. 2259-2279 (2006). (pdf)
Improved bounds on the polarization tensor for thick domains. 
With Hyeonbae Kang.
Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory, Contemporary Mathematics, 408 pp. 69-74 (2006). (pdf)
Impedance Imaging for Inhomogeneities of Low Volume Fraction.  
IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials (2006).
Attainability by simply connected domains of optimal bounds for the polarization tensor. 
With Habib Ammari, Hyeonbae Kang, Eunjoo Kim, Mikyoung Lim.
European Journal of Applied Mathematics, 17, pp. 201-219 (2006). (pdf)
Localized polarization tensor bounds, and applications to voltage perturbations caused by thin inhomogeneities. 
With Michael S. Vogelius.
Asymptotic Analysis, 50, pp. 175-204 (2006). (pdf)
Improved Hashin-Shtrikman Bounds for Elastic Moment Tensors and an Application. 
With Hyeonbae Kang.
Applied Mathematics and Optimization, 57, pp. 263-288 (2008). (pdf)
Imagerie Électromagnétique de petites inhomogénéités.
With Michael S. Vogelius (in French).
ESAIM: Proceedings Vol. 22, pp. 40-51 (2008). (pdf)
Electrical Impedance Tomography by Elastic Deformation 
With Habib Ammari, Eric Bonnetier, Mickael Tanter & Mathias Fink.
SIAM Journal on Applied Mathematics, 68, pp. 1557-1573 (2008). (pdf)
Mathematical models and reconstruction methods in magneto-acoustic imaging 
With Habib Ammari, Hyeonbae Kang & Anastasia Kozhemyak.
European Journal of Applied Mathematics, 20, pp. 303-317 (2009). (pdf)
Thin cylindrical conductivity inclusions in a 3-dimensional domain: a polarization tensor and unique determination from boundary data 
With Elena Beretta, Frédéric de Gournay & Elisa Francini.
Inverse Problems, 25, (2009). (pdf)
Two asymptotic models for arrays of underground waste containers 
With Grégoire Allaire, Marc Briane & Robert Brizzi.
Applicable Analysis, 88, pp. 1445-1467 (2009). (pdf)
Imaging by Modification: Numerical Reconstruction of Local Conductivities from Corresponding Power Density Measurements 
With Frédéric de Gournay, Jérôme Fehrenbach & Otared Kavian.
Siam Journal on Imaging Sciences, 2, pp. 1003-1030 (2009). (pdf)
Enhanced Resolution in Structured Media 
With Habib Ammari & Eric Bonnetier.
Siam Journal on Applied Mathematics, 70(5) pp. 1428-1452 (2009). (pdf)
Progress on the Strong Eshelby's Conjecture and Extremal Structures for the Elastic Moment Tensor  
With Habib Ammari, Hyeonbae Kang, Hyundae Lee, Graeme W. Milton & Habib Zribi.
Journal de Mathématiques Pures et Appliquées, 94 pp.93-106 (2010). (pdf)
Microwave Imaging by Elastic Deformation  
With Habib Ammari, Frédéric de Gournay, Anna Rozanova-Pierrat and Faouzi Triki.
SIAM Journal on Applied Mathematics 71(6) pp. 2112-2130 (2011). (pdf)
Root Growth: homogenization in domains with time dependent partial perforations  
With Mariya Ptashnyk.
ESAIM: Control, Optimisation and Calculus of Variations, (2012). (pdf)
Homogenization of a One-Dimensional Spectral Problem for a Singularly Perturbed Elliptic Operator with Neumann Boundary Conditions  
With Grégoire Allaire and Marjolaine Puel.
Discrete and Continuous Dynamical Systems - Series B 17(1) pp. 1-31 (2012). (pdf)
On the scattered field generated by a ball inhomogeneity of constant index  
Asymptotic Analysis 77(3-4) pp.197-246 (2012). (pdf)
On uniqueness for time harmonic anisotropic Maxwell’s equations with piecewise regular coefficients  
With John M. Ball and Basang Tsering-Xiao.
Mathematical Models and Methods in Applied Sciences 22(11) 1250036 (2012). (pdf)
Patent
  Procédé et Dispositif de Tomographie par Impedance Electrique.
With Habib Ammari, Eric Bonnetier, Michael Tanter & Mathias Fink (2007).
Other papers & preprints. 
[T] Homogénéisation des modèles de diffusion en neutronique.
PhD dissertation.
[H] Some results on homogenization problems and inverse problems.
Habilitation.
 [U1] Wavelet Based Homogenization of a 2 Dimensional Elliptic Problem. 
With Michael S. Vogelius.