Marc Dambrine
Marc Dambrine
Publications:
Published papers are available on request, Preprints versions usualy on HAL.
47.
Oriented distance point of view on random sets with application to shape optimization.
with B. Puig.
To appear in ESAIM : Control, Optimisation and Calculus of Variations.
46.
Incorporating knowledge on the measurement noise in electrical impedance tomography.
with H. Harbrecht and B. Puig.
ESAIM : Control, Optimisation and Calculus of Variations, 25 :84, 2019.
45.
Stability in shape optimization with second variation.
with J. Lamboley
Journal of Differential Equations, 267(5) :3009–3045, 2019.
43.
A new method for the data completion problem and application to obstacle detection.
with F. Caubet and H. Harbrecht.
SIAM Journal on Applied Mathematics, 79(1) :415–435, 2019.
42.
A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary.
with V. Bonnaillie-Noël, M. Dalla Riva and P. Musolino.
Journal des Mathematiques Pures et Appliquees, 116 :211–267, 2018.
41.
Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness.
with I. Greff, H. Harbrecht and B. Puig.
Journal of Computational Physics, 330 :943–959, 2017.
40.
On Bernoulli’s free boundary problem with a random boundary.
with H. Harbrecht, M.D. Peters, and B. Puig.
International Journal for Uncertainty Quantification, 7(4) :335–353, 2017.
39.
Numerical solution of the Poisson equation on domains with a thin layer of random thickness.
with H. Harbrecht, I. Greff, and B. Puig.
SIAM Journal on Numerical Analysis, 54(2) :921–941, 2016.
38. A first order approach for the worst-case shape optimization of the compliance for a mixture in the low contrast regime
with A. Laurain.
Structural and Multidisciplinary Optimization, 54(2) :215–231, 2016.
37. Minimization of the ground state of the mixture of two conducting materials in a small contrast regime
with C. Conca, R. Mahadevan and D. Quintero.
Mathematical Methods in the Applied Sciences, 39(13) :3549–3564, 2016.
36. Shape optimization for quadratic functionals and states with random right-hand sides
with C. Dapogny and H. Harbrecht.
SIAM Control and Optimization 53 (2015), no. 5, 3081–3103..
35.Interactions between moderately close inclusions for the 2D Dirichlet-Laplacian
with V. Bonnaillie-Noel and C. Lacave.
To Appear in Applied Mathematics Research eXpress. doi:10.1093/amrx/abv008.
34.Sard theorems for Lipschitz functions and applications in optimization
with L. Barbet, A. Daniilidis, and L. Rifford.
Israel Journal of Mathematics, 212(2) :757–790, 2016
33.
Computing quantities of interest for random domains with second order shape sensitivity analysis
with H. Harbrecht, and B. Puig.
ESAIM : Mathematical Modelling and Numerical Analysis, 49(5) :1285–1302, 2015 49-5, pp. 1285-1302.
32.An extremal eigenvalue problem for the Wentzell-Laplace operator
with J. Lamboley and D. Kateb.
Annales de l’Institut Henri Poincare (C) Analyse Non
Lineaire, 33(2) :409–450, 2016.
31.Artificial conditions for the linear elasticity equations
with V. Bonnaillie-Noël, F. Hérau and G. Vial.
Math. Comp. 84 (2015), 1599-1632 .
30.Interactions between moderately close circular inclusions: the Dirichlet-Laplace equation in the plane
with V. Bonnaillie-Noël.
Asymptotic Analysis 84 (2013) 197–227.
29.Morse-Sard theorem for Clarke critical values.
with L. Barbet and A. Daniilidis.
Advances in Mathematics, (2013), 242, 217-227.
28.Shape optimization methods for the Inverse Obstacle Problem with generalized impedance boundary conditions
with F. Caubet and D. Kateb.
Inverse Problems (2013) 29:115011.
27.Stability of critical shapes for the drag minimization problem in Stokes flow.
with F. Caubet.
Journal des Mathématiques Pures et Appliquées, (2013), 100, 327-346.
26.A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid.
with F. Caubet, D. Kateb and C.Z. Timimoun.
Inverse Problems and Imaging, (2013), 7:1, 123-157.
25.Localisation of small obstacles in Stokes flow.
with F. Caubet.
Inverse Problems, (2012), 28 :105007.
24.A Lp theory of linear elasticity in the half-space.
with C. Amrouche and Y. Raudin.
Journal of Differential Equations, (2012), 253, 906–932.
23.Persistency of wellposedness of Ventcel's boundary value problem under shape deformations.
with D. Kateb.
Journal of Mathematical Analysis and Applications, (2012), 394, 129-138.
22.On the necessity of Nitsche term. Part II: an alternative approach.
with G. Dupire, J.-P. Boufflet and P. Villon.
Applied Numerical Mathematics, (2012), 62, Vol. 5, 521–535.
21.Artificial boundary conditions to compute correctors in linear elasticity.
with V Bonnaillie-Noël, D Brancherie, and G. Vial.
Numerical Analysis and Applications, (2012), 5, Vol. 2, 129–135.
20.Multiscale expansion and numerical approximation for surface defects.
with V. Bonnaillie-Noel, D. Brancherie, F. Hérau, S. Tordeux and G. Vial,
ESAIM Proc., 33 (2011), p. 22-35
19.Detecting an obstacle immersed in a fluid by shape optimization methods.
with M. Badra and F. Caubet.
M3AS: Mathematical Models and Methods in Applied Sciences, (2011), 21, Vol. 10, 2069-2101.
18.On the sensitivity with respect to the shape of the first Dirichlet eigenvalue for two-phase problems.
with D. Kateb.
Applied Mathematics and Optimization, (2011), vol. 63, no. 1, 45-74.
17.On the necessity of Nitsche term.
with G. Dupire, J.-P. Boufflet and P. Villon.
Applied Numerical Mathematics, (2010), vol. 60, no. 9, 888-902.
16.On generalized Ventcel's type boundary conditions for Laplace operator in a bounded domain.
with V. Bonnaillie-Noël, F. Hérau and G. Vial.
SIAM Journal of Mathematical Analysis, (2010), vol. 42, 931-945.
15.Effect of micro-defects on structure failure : coupling asymptotic analysis and strong discontinuity approach.
with V. Bonnaillie-Noël, D. Brancherie, S. Tordeux and G. Vial.
European Journal of Computational Mechanics, (2010), vol. 19, 165-175.
14.On the ersatz material approximation in level-set methods.
with D. Kateb.
ESAIM: Control, Optimisation and Calculus of Variations, (2010), vol. 16 , 618-634.
13.Interactions between moderately close inclusions for the Laplace equation.
with V. Bonnaillie-Noël, S. Tordeux and G. Vial.
M3AS: Mathematical Models and Methods in Applied Sciences, (2009), vol. 19, 1853–1882.
12.Effect of surface defects on structure failure: a two-scale approach.
with D. Brancherie, G. Vial and P. Villon.
European Journal of Computational Mechanics. (2008), vol. 17, no 5-7, pp. 613-624.
11.On second order shape optimization methods for electrical impedance tomography.
with L. Afraites and D. Kateb.
SIAM Control and Optimization. (2008), vol 47-3, pp. 1556-1590.
10.A remark on precomposition on $H^{1/2}(S^1)$ and epsilon-identifiability of disks in tomography.
with D. Kateb.
Journal of Mathematical Analysis and Applications. (2008), vol 337, pp. 594-616.
9.Detecting perfectly insulated obstacles by shape optimization techniques of order two.
with L. Afraites, K. Eppler and D. Kateb.
Discrete and Continuous Dynamical Systems - serie B. (2007), vol 8-2, pp. 389 - 416 ;
8.Conformal mappings and shape derivatives for the transmission problem with a single measurement.
with L. Afraites and D. Kateb.
Numerical Functional Analysis and Optimization. (2007), vol 28-5-6 , pp. 519 - 551 ;
7.On moderately close inclusions for the Laplace equation.
with V. Bonnaillie-Noel, S. Tordeux and G. Vial.
C. R. Acad. Sci. Paris, (2007), vol. 345, num. 11, pp. 609-614.
6.A multiscale correction method for local singular perturbations of the boundary.
with G. Vial.
ESAIM: Mathematical Modelling and Numerical Analysis. (2007) vol 41, pp. 111-128.
5.Conformal mapping and inverse conductivity problem with one measurement.
with D. Kateb.
ESAIM: Control, Optimization and Calculus of Variations. (2007), vol 13-1, pp. 163--177.
4.On the influence of a boundary perforation on the Dirichlet energy.
with G. Vial.
Control and cybernetics. (2005), vol. 34-1, pp. 117-136.
3.On stability analysis in shape optimisation : critical shapes for Neumann problem.
with J. Sokolowski and A. Zochowski.
Control and cybernetics. (2003), vol 32-3, pp. 503-528.
2.About the variations of the shape Hessian and sufficient conditions of stability for critical shapes.
Revista Real Academia Ciencias-RACSAM. (2002), vol 96-1, pp. 95-121.
1.About stability of equilibrium shapes.
with M. Pierre.
ESAIM: Mathematical Modelling and Numerical Analysis. (2000), vol 34-4, pp. 811-834.
Recent works in proceedings (since 2008):
1.An integrated parameterization and optimization methodology for assisted history matching: Application to libyan field case.
with S. Al-akhdar, D. Ding, M. Dambrine, and A. Jourdan.
In SPE North Africa Technical Conference and Exhibition, NATC2012, 2012.
2.Small defects in mechanics.
with V. Bonnaillie-Noël and G. Vial.
AIP Conference Proceedings ICNAAM 2011, 1389 pp. 1416-1424 (2011).
3.Stable and unstable problems in shape optimization.
Oberwolfach Reports, 8(1) pp. 208–210 (2011).
4.On second order shape optimization methods.
with L. Afraites, K. Eppler, H. Harbrecht and D. Kateb.
In A. El Jai, L. Afifi, and E. Zerrik, editors, Proceedings of the International Conference on Systems Theory: Modeling, Analysis and Control, May 25-28, 2009, Fes, Morocco, pages 399-407, Perpignan, France, 2009. Presses Universitaires de Perpignan.
5.A Least Squares approach for an inverse transmission problem.
with L. Afraites, and D. Kateb.
Monografias Matemáticas Garcia de Galdeano, Jaca 2008.
Much of this material is based upon work supported by the Agence Nationale de la Recherche under grants Macadam, Gaos, Optiform and Aramis.