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  • Fabien CaubetUniversit Paul Sabatier

    Institut de Mathmatiques de Toulouse118 route de Narbonne

    31062 Toulouse Cedex 9, FranceT +335.61.55.61.18

    B fabien.caubet@math.univ-toulouse.fr www.math.univ-toulouse.fr/fcaubet

    born on the 1st of October 1986(30 years old)

    in Pau (France)French citizenship

    Assistant Professor in Applied MathematicsInstitut de Mathmatiques de Toulouse

    "Mathmatiques pour lIndustrie et la Physique" team

    Diplomas and studies2013 Assistant professor (matre de confrences), Universit Toulouse III Paul Sabatier

    (Toulouse, France), IMT, "Mathmatiques pour lIndustrie et la Physique" team.20122013 Associate member of the "DFI" team, cole Polytechnique (Palaiseau, France),

    CMAP.20122013 ATER (full time) in applied mathematics, UTC (Compigne, France), LMAC, "Inverse

    Problems, Approximation and Control" team.20092012 PhD thesis in applied mathematics, UPPA (Pau, France), LMAP, "PDE Analysis and

    Optimization" team, supervised by Marc Dambrine and Mehdi Badra.Subject: Detecting an obstacle immersed in a fluid.Thesis defended on June 29, 2012. Defence committee: M. Badra (Supervisor), C. Conca (Re-viewer), M. Dambrine (Supervisor), A. Munnier (Examinator), . Oudet (Reviewer), J.P. Raymond(Examinator). Mention trs honorable.

    20072009 Masters degree in mathematical research (Mathematics, Modeling and Simula-tion), UPPA (Pau, France), research option. Mention bien.Report: Sensitivity with respect to the shape of the solution of the Stokes equations

    20042007 Licences degree in mathematics, UPPA (Pau, France). Mention trs bien.2004 Baccalaureate of sciences, Lyce Louis Barthou (Pau, France). Mention bien.

    Research (key words) Shape optimization, shape sensitivity analysis, shape derivative, topological derivative,

    numerical shape optimization. Inverse problems, inverse obstacle problem, data completion problem. Control, Carleman inequalities, stability inequalities. Asymptotic analysis. Generalized impedance boundary conditions.

    Distinctions2014 PEDR, Beneficiary of the Prime dEncadrement Doctoral et de Recherche.

    mailto:fabien.caubet@math.univ-toulouse.frhttp://$\unhbox \voidb@x \hbox {www.math.univ-toulouse.fr/$\sim $fcaubet}$

  • Collaborations2015 Member of the research project Nouvelles Niches dExcellence, Shape opti-

    mization under unilateral constraints.2014 Member of the research project ECOS-CONICYT C13E05 (Shape and Topol-

    ogy Optimization in Coupled Models), funded by CONICYT (Comisin Nacional deInvestigacin Cientfica y Tecnolgica).

    20122016 Member of the research project Optiform, funded by lAgence Nationale de laRecherche.

    20122014 Collaboration with the "DFI" research team between lINRIA and lcole Poly-technique, on an imaging problem by magnetic resonance.

    20092012 Member of the research project GAOS (Geometric Analysis of Optimal Shapes),funded by lAgence Nationale de la Recherche.

    Publications and preprintsPublished or accepted papers

    2016 Flip procedure in geometric approximation of multiple-components shapes Application to multiple-inclusions detection, SMAI Journal of Computational Mathe-matics, accepted, P. Bonnelie, L. Bourdin, F. Caubet and O. Ruatta (22 pages).

    2016 New transmission condition accounting for diffusion anisotropy in thin layersapplied to diffusion MRI, ESAIM: Mathematical Modelling and Numerical Analysis,accepted, F. Caubet, H. Haddar, J.-R. Li and D.V. Nguyen (25 pages).

    2016 Stability estimates for Navier-Stokes equations and application to inverse prob-lems, Discrete and Continuous Dynamical Systems - Series B, accepted, M. Badra, F. Caubetand J. Dard (29 pages).

    2015 On the detection of several obstacles in 2D Stokes flow: topological sensitivityand combination with shape derivatives, Inverse Problems and Imaging, 10(2):327367,F. Caubet, C. Conca and M. Godoy (41 pages).

    2013 Shape optimization methods for the Inverse Obstacle Problem with general-ized impedance boundary conditions, Inverse Problems, 29(11):115011, F. Caubet,M. Dambrine and D. Kateb (26 pages).

    2013 Stability of critical shapes for the drag minimization problem in Stokes flow,Journal de Mathmatiques Pures et Appliques, 100(3):327346, F. Caubet and M. Dambrine(20 pages).

    2013 Instability of an inverse problem for the stationary Navier-Stokes equations,SIAM Journal on Control and Optimization, 51(4):29492975, F. Caubet (28 pages).

    2013 A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid, InverseProblems and Imaging, 7(1):123157, F. Caubet, M. Dambrine, D. Kateb and C.Z. Timimoun(35 pages).

    2012 Localisation of small obstacles in Stokes flow, Inverse Problems, 28(10):105007, 31,F. Caubet and M. Dambrine (31 pages).

    2011 Detecting an obstacle immersed in a fluid by shape optimization methods, Math-ematical Models and Methods in Applied Sciences, 21(10):20692101, M. Badra, F. Caubetand M. Dambrine (33 pages).

    Preprints2016 On the data completion problem and the inverse obstacle problem with partial

    Cauchy data for Laplaces equation, F. Caubet, J. Dard and M. Godoy (33 pages).

  • SupervisionPhD thesis supervision

    20142016 PhD thesis of Matas Godoy Campbell, co-supervision with C. Conca, University ofChile, El problema inverso de deteccin de obstculos por mtodos de optimizacin (Theinverse problem of obstacle detection via optimization methods).

    Master 2 projects supervision2014-2017 Mini-projects of students in M2 ACSYON, Universit de Limoges, Shape optimization

    problem on the minimization of the compliance.

    Oral contributionsOral communications with proceedings

    Sept. 16, 2010 Detecting an obstacle immersed in a fluid (the Stokes case), Eleventh InternationalConference Zaragoza-Pau on Applied Mathematics and Statistics, Jaca (Spain).

    Interventions in national and international conferencesMay 29, 2015 AIP 2015, Helsinki (Finland).Mar. 26, 2014 SMAIMODE 2014, Rennes (France).Nov. 07, 2013 ANR CISIFS, IHP (Paris, France).May 27, 2013 SMAI 2013, Seignosse (France).Apr. 03, 2012 PICOF 2012, cole Polytechnique (Palaiseau, France).Oct. 12, 2011 ANR GAOS, IECN (Nancy, France).Mar. 08, 2011 ANR GAOS, IHP (Paris, France).June 02, 2010 CANUM 2010, Carcans-Maubuisson (France).

    Invitations to seminarsDec. 16, 2015 CPT seminar, Universit Aix-Marseille (Marseille, France).Dec. 04, 2014 LMA seminar, Universit dAvignon (Avignon, France).Oct. 17, 2014 DMI seminar, Universit de Limoges (Limoges, France).June 19, 2014 Workshop Mathematics Programmation (GDR RO), INPT ENSEEIHT (Toulouse,

    France).Nov. 29, 2013 IMT seminar, Universit Toulouse III Paul-Sabatier (Toulouse, France).Nov. 25, 2013 Workshop Optimization, LAAS-CNRS (Toulouse, France).Oct. 16, 2013 Workshop ONI, Universit Toulouse III Paul Sabatier (Toulouse, France).Apr. 24, 2013 IRIT seminar, INPT ENSEEIHT (Toulouse, France).Apr. 04, 2013 IMB seminar, Universit de Bourgogne (Dijon, France).Mar. 26, 2013 LM seminar, Universit Blaise Pascal (Clermont-Ferrand, France).Mar. 22, 2013 GREMAQ seminar, Universit Toulouse 1 Capitole (Toulouse, France).Mar. 21, 2013 IMATH seminar, Universit du Sud ToulonVar (Toulon, France).Mar. 14, 2013 LJK seminar, Universit Joseph Fourier (Grenoble, France).Mar. 12, 2013 LATP seminar, Universit AixMarseille (Marseille, France).Jan. 07, 2013 LAMFA seminar, Universit de Picardie (Amiens, France).Dec. 18, 2012 IECN seminar, Universit Henri Poincar (Nancy, France).Dec. 14, 2012 LAMA seminar, Universit de Savoie (Chambry, France).Dec. 13, 2012 IRMAR seminar, Universit Rennes 1 (Rennes, France).Oct. 09, 2012 LMAC seminar, Universit de Technologie de Compigne (Compigne, France).Apr. 28, 2011 LMAP seminar, Universit de Pau, UPPA (Pau, France).

  • PostersJuly 06, 2011 Detecting an obstacle immersed in a fluid, OPTPDE, BCAM (Bilbao, Spain).

    TeachingAt Universit de Limoges

    20142016 Practical programming for students in M2 ACSYON, shape optimization, use ofFreefem++.

    At the Universit Paul Sabatier Toulouse III (UPS IUT A)20152016 Lecture and exercises for the second year students, DUT GMP, functions of several

    variables, differentiability, double and triple integrals.20142016 Lecture, exercises and practical programming for the third year students, TIAS,

    differential equations, matrix calculus, numerical integration, Newtons method, programma-tion with Excel.

    20132016 Lecture and exercises for the first year students, DUT GMP, vectorial calculus,continuity, differentiability, bijection, polynomials, Taylors formula, probability, statistics.

    20132014 Lecture and exercises for the second year students, DUT GMP, parametric equa-tions, polar curves, line integrals, diagonalization, application to solving system of equationsand to reduction of quadratic forms, series.

    20132014 Exercises for the first year students, DUT GMP, matrix calculus, diagonalization,applications to solving systems of equations.

    20132014 Exercises for the second year students, DUT GMP, matrix calculus, diagonalization,linear application.

    At the Universit de Technologie de Compigne (UTC)20122013 Exercises for the first year students, "tronc commun", MT 22: functions of several

    variables, vector analysis, double and triple integrals, line integrals, surface integrals, integraltheorems.

    20122013 Exercises for the first year students, "tronc commun", MT 90/91: sets, applications,real numbers, sequences, limits, continuity, differentiability, Taylors formula, integrals,complex numbers, polynomials, differential equations.

    At the Universit de Pau (UPPA)20112012 Practical programming with Scilab for the 3rd year students in mathematics, nu-

    merical analysis, matrix, matrix norms, conditioning, linear systems, interpolation, numericalintegration.

    20112012 Exercises for the 2nd