Fabien Caubet. Assistant Professor in Applied Mathematics Institut de Mathématiques de Toulouse "Mathématiques pour l Industrie et la Physique" team

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1 Fabien Caubet Université Paul Sabatier Institut de Mathématiques de Toulouse 118 route de Narbonne Toulouse Cedex 9, France T B fabien.caubet@math.univ-toulouse.fr Í fcaubet born on the 1st of October 1986 (30 years old) in Pau (France) French citizenship Assistant Professor in Applied Mathematics Institut de Mathématiques de Toulouse "Mathématiques pour l Industrie et la Physique" team Diplomas and studies 2013 Assistant professor (maître de conférences), Université Toulouse III Paul Sabatier (Toulouse, France), IMT, "Mathématiques pour l Industrie et la Physique" team Associate member of the "DéFI" team, École Polytechnique (Palaiseau, France), CMAP ATER (full time) in applied mathematics, UTC (Compiègne, France), LMAC, "Inverse Problems, Approximation and Control" team 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, Defence committee: M. Badra (Supervisor), C. Conca (Reviewer), M. Dambrine (Supervisor), A. Munnier (Examinator), É. Oudet (Reviewer), J.P. Raymond (Examinator). Mention très honorable Master s degree in mathematical research (Mathematics, Modeling and Simulation), UPPA (Pau, France), research option. Mention bien. Report: Sensitivity with respect to the shape of the solution of the Stokes equations Licence s degree in mathematics, UPPA (Pau, France). Mention très bien Baccalaureate of sciences, Lycée 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. Distinctions 2014 PEDR, Beneficiary of the Prime d Encadrement Doctoral et de Recherche.

2 Collaborations 2015 Member of the research project Nouvelles Niches d Excellence, Shape optimization under unilateral constraints Member of the research project ECOS-CONICYT C13E05 (Shape and Topology Optimization in Coupled Models), funded by CONICYT (Comisión Nacional de Investigación Científica y Tecnológica) Member of the research project Optiform, funded by l Agence Nationale de la Recherche Collaboration with the "DéFI" research team between l INRIA and l École Polytechnique, on an imaging problem by magnetic resonance Member of the research project GAOS (Geometric Analysis of Optimal Shapes), funded by l Agence Nationale de la Recherche. Publications and preprints Published or accepted papers 2016 Flip procedure in geometric approximation of multiple-components shapes Application to multiple-inclusions detection, SMAI Journal of Computational Mathematics, accepted, P. Bonnelie, L. Bourdin, F. Caubet and O. Ruatta (22 pages) New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI, ESAIM: Mathematical Modelling and Numerical Analysis, accepted, F. Caubet, H. Haddar, J.-R. Li and D.V. Nguyen (25 pages) Stability estimates for Navier-Stokes equations and application to inverse problems, Discrete and Continuous Dynamical Systems - Series B, accepted, M. Badra, F. Caubet and J. Dardé (29 pages) On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives, Inverse Problems and Imaging, 10(2): , F. Caubet, C. Conca and M. Godoy (41 pages) Shape optimization methods for the Inverse Obstacle Problem with generalized impedance boundary conditions, Inverse Problems, 29(11):115011, F. Caubet, M. Dambrine and D. Kateb (26 pages) Stability of critical shapes for the drag minimization problem in Stokes flow, Journal de Mathématiques Pures et Appliquées, 100(3): , F. Caubet and M. Dambrine (20 pages) Instability of an inverse problem for the stationary Navier-Stokes equations, SIAM Journal on Control and Optimization, 51(4): , F. Caubet (28 pages) A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid, Inverse Problems and Imaging, 7(1): , F. Caubet, M. Dambrine, D. Kateb and C.Z. Timimoun (35 pages) Localisation of small obstacles in Stokes flow, Inverse Problems, 28(10):105007, 31, F. Caubet and M. Dambrine (31 pages) Detecting an obstacle immersed in a fluid by shape optimization methods, Mathematical Models and Methods in Applied Sciences, 21(10): , M. Badra, F. Caubet and M. Dambrine (33 pages). Preprints 2016 On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace s equation, F. Caubet, J. Dardé and M. Godoy (33 pages).

3 Supervision PhD thesis supervision PhD thesis of Matías Godoy Campbell, co-supervision with C. Conca, University of Chile, El problema inverso de detección de obstáculos por métodos de optimización (The inverse problem of obstacle detection via optimization methods). Master 2 projects supervision Mini-projects of students in M2 ACSYON, Université de Limoges, Shape optimization problem on the minimization of the compliance. Oral contributions Sept. 16, 2010 May 29, 2015 Mar. 26, 2014 Nov. 07, 2013 May 27, 2013 Apr. 03, 2012 Oct. 12, 2011 Mar. 08, 2011 June 02, 2010 Dec. 16, 2015 Dec. 04, 2014 Oct. 17, 2014 June 19, 2014 Nov. 29, 2013 Nov. 25, 2013 Oct. 16, 2013 Apr. 24, 2013 Apr. 04, 2013 Mar. 26, 2013 Mar. 22, 2013 Mar. 21, 2013 Mar. 14, 2013 Mar. 12, 2013 Jan. 07, 2013 Dec. 18, 2012 Dec. 14, 2012 Dec. 13, 2012 Oct. 09, 2012 Apr. 28, 2011 Oral communications with proceedings Detecting an obstacle immersed in a fluid (the Stokes case), Eleventh International Conference Zaragoza-Pau on Applied Mathematics and Statistics, Jaca (Spain). Interventions in national and international conferences AIP 2015, Helsinki (Finland). SMAI MODE 2014, Rennes (France). ANR CISIFS, IHP (Paris, France). SMAI 2013, Seignosse (France). PICOF 2012, École Polytechnique (Palaiseau, France). ANR GAOS, IECN (Nancy, France). ANR GAOS, IHP (Paris, France). CANUM 2010, Carcans-Maubuisson (France). Invitations to seminars CPT seminar, Université Aix-Marseille (Marseille, France). LMA seminar, Université d Avignon (Avignon, France). DMI seminar, Université de Limoges (Limoges, France). Workshop Mathematics Programmation (GDR RO), INPT ENSEEIHT (Toulouse, France). IMT seminar, Université Toulouse III Paul-Sabatier (Toulouse, France). Workshop Optimization, LAAS-CNRS (Toulouse, France). Workshop ONI, Université Toulouse III Paul Sabatier (Toulouse, France). IRIT seminar, INPT ENSEEIHT (Toulouse, France). IMB seminar, Université de Bourgogne (Dijon, France). LM seminar, Université Blaise Pascal (Clermont-Ferrand, France). GREMAQ seminar, Université Toulouse 1 Capitole (Toulouse, France). IMATH seminar, Université du Sud Toulon Var (Toulon, France). LJK seminar, Université Joseph Fourier (Grenoble, France). LATP seminar, Université Aix Marseille (Marseille, France). LAMFA seminar, Université de Picardie (Amiens, France). IECN seminar, Université Henri Poincaré (Nancy, France). LAMA seminar, Université de Savoie (Chambéry, France). IRMAR seminar, Université Rennes 1 (Rennes, France). LMAC seminar, Université de Technologie de Compiègne (Compiègne, France). LMAP seminar, Université de Pau, UPPA (Pau, France).

4 July 06, 2011 Posters Detecting an obstacle immersed in a fluid, OPTPDE, BCAM (Bilbao, Spain). Teaching At Université de Limoges Practical programming for students in M2 ACSYON, shape optimization, use of Freefem++. At the Université Paul Sabatier Toulouse III (UPS IUT A) Lecture and exercises for the second year students, DUT GMP, functions of several variables, differentiability, double and triple integrals Lecture, exercises and practical programming for the third year students, TIAS, differential equations, matrix calculus, numerical integration, Newton s method, programmation with Excel Lecture and exercises for the first year students, DUT GMP, vectorial calculus, continuity, differentiability, bijection, polynomials, Taylor s formula, probability, statistics Lecture and exercises for the second year students, DUT GMP, parametric equations, polar curves, line integrals, diagonalization, application to solving system of equations and to reduction of quadratic forms, series Exercises for the first year students, DUT GMP, matrix calculus, diagonalization, applications to solving systems of equations Exercises for the second year students, DUT GMP, matrix calculus, diagonalization, linear application. At the Université de Technologie de Compiègne (UTC) Exercises for the first year students, "tronc commun", MT 22: functions of several variables, vector analysis, double and triple integrals, line integrals, surface integrals, integral theorems Exercises for the first year students, "tronc commun", MT 90/91: sets, applications, real numbers, sequences, limits, continuity, differentiability, Taylor s formula, integrals, complex numbers, polynomials, differential equations. At the Université de Pau (UPPA) Practical programming with Scilab for the 3 rd year students in mathematics, numerical analysis, matrix, matrix norms, conditioning, linear systems, interpolation, numerical integration Exercises for the 2 nd year students in physics, generalized integrals, series, sequences of functions, series of functions, entire series, Fourier series Exercises for the 2 nd year students in mathematics, generalized integrals, series, sequences of functions, series of functions, entire series, Fourier series Exercises for the 2 nd year students in chemistry (SDM), generalized integrals, series, sequences of functions, series of functions, entire series, Fourier series Exercises for the 2 nd year students in economic and social sciences (MASS), functions of several variables, entire series Lecture in general mathematics for the 3 rd year students in spanish, preparation for the entrance examination to the I.U.F.M. (Institut Universitaire de Formation des Maîtres) Preparing for the second examination session for the 1 st year students in economic and social sciences (MASS), functions, real sequences.

5 Collective and vulgarization activities Collective activities Co-organizer of the seminar of the MIP team of the IMT, UPS (Toulouse, France) Member of educational committee, trainings of the doctoral school of the exact sciences and their applications of the UPPA (Pau, France) Representative of the PhD students, council of the doctoral school of the exact sciences and their applications of the UPPA (Pau, France) Co-organizer and co-founder of the PhD students seminar of LMAP, UPPA (Pau, France). Feb. 22, 2012 Nov. 18, 2010 Vulgarization activities Vulgarization talk on optimal shapes, UPPA (Pau, France), PhD students seminar of LMAP. Vulgarization talk on shape optimization, UPPA (Pau, France), PhD students seminar of LMAP. Scientific expertise Referee, for the journals Acta Applicandae Mathematicae; Boundary value problems; ESAIM: Control, Optimisation and Calculus of Variations; Inverse Problems; Inverse Problems in Science & Engineering and SIAM Journal on Control and Optimization. Referee, for Mathematical Reviews. Computing and language Computing Languages Python, C++, Fortran 77 Web HTML numerical calculus software Finite elements software Scilab, Matlab, Maple Freefem++, Mélina Certificates C2I (level 1) Languages Operating systems Office automation Unix, GNU/Linux, Windows Latex, Microsoft Office French read, written, spoken native English read, written, spoken professional Spanish read, written, spoken novice