Publications by themes

Shape Optimization Optimization in finite dimension Numerical analysis of PDEs Inverse problems PDEs and asymptotic analysis of solutions of PDEs

Inverse problems

F. Caubet, M. Dambrine, J. Dardé
On the penalization by the perimeter in shape optimization applied to Dirichlet inverse obstacle problem HAL
M. Dambrine and V. Karnaev.
Robust obstacle reconstruction in an elastic medium.
Discrete and Continuous Dynamical Systems - B, 29(1) :124-150, 2024. HAL
M. Dambrine and S. Zerrouq.
Robust inverse homogenization of elastic micro-structures.
Journal of Optimization Theory and Applications, 199 :209-232, 2023.
M. Dambrine, A. Khan, M. Sama, and H.-J. Starkloff.
Stochastic elliptic inverse problems. solvability, convergence rates, discretization, and applications.
Journal of Convex Analysis, 30 :851-885, 2023.
M. Dambrine, A. Khan, and M. Sama.
A stochastic regularized second-order iterative scheme for optimal control and inverse problems in stochastic partial differential equations.
Philosophical Transactions of the Royal Society A : Mathematical, Physical and Engineering Sciences, 380(2236), 2022.
M. Dambrine, H. Harbrecht and B. Puig
Incorporating knowledge on the measurement noise in electrical impedance tomography.
ESAIM: Control, Optimization and Calculus of Variations, 25 (2019).
F. Caubet, M. Dambrine, and H. Harbrecht.
A new method for the data completion problem and application to obstacle detection.
SIAM Journal on Applied Mathematics,79(1) :415-435, 2019.
F. Caubet, M. Dambrine, and D. Kateb.
Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions.
Inverse Problems, 29(11), 2013.
F. Caubet, M. Dambrine, D. Kateb, and C.Z. Timimoun.
A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid.
Inverse Problems and Imaging,7(1) :123-157, 2013.
F. Caubet and M. Dambrine.
Localization of small obstacles in Stokes flow.
Inverse Problems, 28(10), 2012.
M. Badra, F. Caubet, and M. Dambrine.
Detecting an obstacle immersed in a fluid by shape optimization methods.
Mathematical Models and Methods in Applied Sciences,21(10) :2069-2101, 2011.
M. Dambrine and D. Kateb.
A remark on precomposition on H1/2(S1) and epsilon-identifiability of disks in tomography.
Journal of Mathematical Analysis and Applications, 337(1) :594-616, 2008.
L. Afraites, M. Dambrine, and D. Kateb.
On second order shape optimization methods for electrical impedance tomography.
SIAM Journal on Control and Optimization,47(3) :1556-1590, 2008.
L. Afraites, M. Dambrine, K. Eppler, and D. Kateb.
Detecting perfectly insulated obstacles by shape optimization techniques of order two.
Discrete and Continuous Dynamical Systems - Series B, 8(2) :389-416, 2007.
L. Afraites, M. Dambrine, and D. Kateb.
Shape methods for the transmission problem with a single measurement.
Numerical Functional Analysis and Optimization, 28(5-6) :519-551, 2007.
M. Dambrine and D. Kateb.
Conformal mapping and inverse conductivity problem with one measurement.
ESAIM - Control, Optimisation and Calculus of Variations,13(1) :163-177, 2007.