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Numerical study of a diffusion equation with Ventcel boundary condition using curved meshes

Fabien Caubet , Joyce Ghantous , Charles Pierre
Monografías Matemáticas García de Galdeano, 2022, Jaca, Spain
Communication dans un congrès hal-03972051v1
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The derivative of a parameterized mechanical contact problem with a Tresca's friction law involves Signorini unilateral conditions

Samir Adly , Loïc Bourdin , Fabien Caubet
2019
Pré-publication, Document de travail hal-02368180v1
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Sensitivity analysis of a Tresca-Type Problem leads to Signorini’s conditions

Samir Adly , Loïc Bourdin , Fabien Caubet
ESAIM: Control, Optimisation and Calculus of Variations, 2022, 28, pp.29. ⟨10.1051/cocv/2022025⟩
Article dans une revue hal-03679192v1
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Inverse Scattering Using a Kohn-Vogelius Formulation and Shape Optimization Method

Thomas Bonnafont , Fabien Caubet
2023 17th European Conference on Antennas and Propagation (EuCAP), Mar 2023, Florence, Italy. pp.1-5, ⟨10.23919/EuCAP57121.2023.10133032⟩
Communication dans un congrès hal-04123417v1
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Instability of an inverse problem for the stationary Navier-Stokes equations

Fabien Caubet
SIAM Journal on Control and Optimization, 2013, 51 (4), pp.2949--2975
Article dans une revue hal-00696174v1

Stability estimates for Navier-Stokes equations and application to inverse problems

Fabien Caubet
Stability estimates for Navier-Stokes equations and application to inverse problems, IPMS 2018, 2018, Malte, Malta
Communication dans un congrès hal-02134822v1
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Shape optimization methods for the Inverse Obstacle Problem with generalized impedance boundary conditions

Fabien Caubet , Marc Dambrine , Djalil Kateb
Inverse Problems, 2013, 29 (11), ⟨10.1088/0266-5611/29/11/115011⟩
Article dans une revue hal-00780735v1
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On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace's equation

Fabien Caubet , Jérémi Dardé , Matías Godoy
ESAIM: Control, Optimisation and Calculus of Variations, 2017, ⟨10.1051/cocv/2017056⟩
Article dans une revue hal-01624524v1
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Localisation of small obstacles in Stokes flow

Fabien Caubet , Marc Dambrine
Inverse Problems, 2012, 28 (10)
Article dans une revue hal-00678037v1
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On a decomposition formula for the proximal operator of the sum of two convex functions

Samir Adly , Loïc Bourdin , Fabien Caubet
Journal of Convex Analysis, 2019, 26 (2), pp.699-718
Article dans une revue hal-01558522v2
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New Transmission Condition Accounting For Diffusion Anisotropy In Thin Layers Applied To Diffusion MRI

Fabien Caubet , Houssem Haddar , Jing-Rebecca Li , Dang Van Nguyen
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, ⟨10.1051/m2an/2016060⟩
Article dans une revue hal-01110298v2
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A robust inverse scattering method based on shape optimization

Thomas Bonnafont , Fabien Caubet
2023 IEEE Conference on Antenna Measurements and Applications (CAMA), Nov 2023, Genoa, Italy
Communication dans un congrès hal-04282123v1

Sixteenth International Conference Zaragoza-Pau on Mathematics and its Applications

José Luis Gracia , María Cruz Lopez de Silanes , Manuel Palacios , Etienne Ahusborde , Chérif Amrouche , et al.
Sixteenth International Conference Zaragoza-Pau on Mathematics and its Applications, 43, 2024, 9788413407913
Proceedings/Recueil des communications hal-04471182v1

On inverse problems by optimization methods

Fabien Caubet
On inverse problems by optimization methods, PICOF 2018, 2018, Hamra, Lebanon
Communication dans un congrès hal-02134821v1
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Shape Derivative for Some Eigenvalue Functionals in Elasticity Theory

Fabien Caubet , Marc Dambrine , Rajesh Mahadevan
SIAM Journal on Control and Optimization, 2021, 59 (2), pp.1218-1245. ⟨10.1137/20M1343105⟩
Article dans une revue hal-03591473v1

New transmission condition accounting for diffusion anisotropy in thin layer applied to diffusion MRI

Fabien Caubet , Houssen Haddar , Jing Rebecca Li , Dang Van Nguyen
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 51, pp.1279--1301. ⟨10.1051/m2an/2016060⟩
Article dans une revue hal-01902194v1
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Naissance de la fédération MARGAUx (FR-2045) (MAthématiques de Recherche en réGion nouvelle-AqUitaine)

My Abdelfattah Barkatou , Samuel Boissière , Fabien Caubet , Rafik Imekraz , Raphaël Loubère
Matapli, 2021
Article dans une revue hal-03358609v1
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Stability estimates for Navier-Stokes equations and application to inverse problems

Mehdi Badra , Fabien Caubet , Jérémi Dardé
Discrete and Continuous Dynamical Systems - Series B, 2016, ⟨10.3934/dcdsb.2016052⟩
Article dans une revue hal-01364124v1
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Shape optimization for variational inequalities: the scalar Tresca friction problem

Samir Adly , Loïc Bourdin , Fabien Caubet , Aymeric Jacob de Cordemoy
SIAM Journal on Optimization, 2023, 33 (4), pp.2512-2541
Article dans une revue hal-03848645v4
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Shape sensitivity of eigenvalue functionals for scalar problems: computing the semi-derivative of a minimum

Fabien Caubet , Marc Dambrine , Rajesh Mahadevan
Applied Mathematics and Optimization, In press, 86 (1), pp.10. ⟨10.1007/s00245-022-09827-6⟩
Article dans une revue hal-02511124v2
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Stability of critical shapes for the drag minimization problem in Stokes flow

Fabien Caubet , Marc Dambrine
Journal de Mathématiques Pures et Appliquées, 2013, 100 (3), pp.327--346. ⟨10.1016/j.matpur.2013.01.003⟩
Article dans une revue hal-00780730v1
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A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid

Fabien Caubet , Marc Dambrine , Djalil Kateb , Chahnaz Zakia Timimoun
Inverse Problems and Imaging , 2013, 7 (1), pp.123--157. ⟨10.3934/ipi.2013.7.123⟩
Article dans une revue hal-00678036v1
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A dual approach to Kohn-Vogelius regularization applied to data completion problem

Fabien Caubet , Jérémi Dardé
Inverse Problems, 2020, ⟨10.1088/1361-6420/ab7868⟩
Article dans une revue hal-02310869v1
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Finite element analysis of a spectral problem on curved meshes occurring in diffusion with high order boundary conditions

Fabien Caubet , Joyce Ghantous , Charles Pierre
2024
Pré-publication, Document de travail hal-04552691v1
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Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -Application to compliance minimization

Fabien Caubet , Djalil Kateb , Frédérique Le Louër
Journal of Elasticity, In press, Journal of Elasticity, 136, pp.17-53. ⟨10.1007/s10659-018-9692-3⟩
Article dans une revue hal-01525249v1
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Flip procedure in geometric approximation of multiple-component shapes – Application to multiple-inclusion detection

Pierre Bonnelie , Loïc Bourdin , Fabien Caubet , Olivier Ruatta
SMAI Journal of Computational Mathematics, 2016, 2, pp.255-276
Article dans une revue hal-01710845v1
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Sensitivity Analysis of a Scalar Mechanical Contact Problem with Perturbation of the Tresca's Friction Law

Loïc Bourdin , Fabien Caubet , Aymeric Jacob de Cordemoy
Journal of Optimization Theory and Applications, 2022, 192, pp.856-890
Article dans une revue hal-03561843v2
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A New Method for the Data Completion Problem and Application to Obstacle Detection

Fabien Caubet , Marc Dambrine , Helmut Harbrecht
SIAM Journal on Applied Mathematics, 2019, 79 (1), pp.415-435. ⟨10.1137/18M1186071⟩
Article dans une revue hal-02127606v1
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Contributions in shape optimization and inverse problems for some partial differential equations

Fabien Caubet
Mathematics [math]. Université Toulouse 3 Paul Sabatier (UT3 Paul Sabatier), 2018
HDR tel-01973336v1
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Optimal location of resources for biased movement of species: the 1D case

Fabien Caubet , Thibaut Deheuvels , Yannick Privat
SIAM Journal on Applied Mathematics, 2017, 77 (6), pp.1876--1903
Article dans une revue hal-01514344v2