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Dr Yves Capdeboscq

Fellow in Mathematics

Introduction

I was trained as an engineer in Ecole Centrale Paris in France. I spent the last year of that degree in Cambridge (taking the ‘Part III’ course in Mathematics). I then went on to do a D.Phil. in Mathematics in Paris 6 (France), a post-doc in Rutgers (USA), and came back to France to become a lecturer. I came to Oxford in 2007.

Teaching

In Queen’s I am the tutor for Applied Mathematics: I like mathematical analysis with applications. At the Mathematical Institute, I am currently teaching Integration (Analysis III) for prelims, and a course related to the analysis of partial differential equations for graduate students.

Research

My main research areas lie in partial differential equations and numerical analysis. I am especially interested in the characterisation of noticeable interactions between small scales and large scales, as it appears in homogenisation theory, impedance tomography and hybrid imaging inverse problems.

Publications

Briane, M.; Capdeboscq, Y. ; Nguyen, Luc Interior regularity estimates in high conductivity homogenization and application.  Arch. Ration. Mech. Anal.  207  (2013),  no. 1, 75–137

Ammari, H.; Bonnetier, E.; Capdeboscq, Y.; Tanter, M.; Fink, M.  Electrical impedance tomography by elastic deformation. SIAM J. Appl. Math. 68 (2008), no. 6, 1557–1573.

Capdeboscq, Y.; Vogelius, M. S.  A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. M2AN Math. Model. Numer. Anal. 37 (2003), no. 1, 159–173.

Capdeboscq, Y.  Homogenization of a neutronic critical diffusion problem with drift. Proc. Roy. Soc. Edinburgh Sect. A 132 (2002), no. 3, 567–594.