List of publications

Marc DAMBRINE


LIST OF PUBLICATIONS



    Submitted

  1. D. Capatina , F. Caubet , M. Dambrine , Rodrigo Zelada
    Nitsche extended finite element method of a Ventcel transmission problem with discontinuities at the interface.
    HAL
  2. M. Dambrine, F. Caubet, G. Gargantini, J. Maynadier
    Shape optimization under a constraint on the worst case scenario
    HAL
  3. F. Caubet , M. Dambrine , J. Dardé
    On the penalization by the perimeter in shape optimization applied to Dirichlet inverse obstacle problem
    HAL
  4. M. Dambrine, G. Gargantini, H. Harbrecht, J. Maynadier
    Shape optimization under constraints on the probability of a quadratic functional to exceed a given treshold.

  5. M. Dambrine, F. Caubet, G. Gargantini, J. Maynadier
    Shape optimization of polynomial functionals under uncertainties on the right-hand side of the state equation
    HAL


    In revision

    2024

  6. M. Dambrine, Ch. Dossal, A. Rondepierre, and B. Puig.
    Stochastic differential equations for modeling first-order optimization methods.
    SIAM Journal on Optimization, 2024.

  7. M. Dambrine and V. Karnaev.
    Robust obstacle reconstruction in an elastic medium.
    Discrete and Continuous Dynamical Systems - B, 29(1) :124-150, 2024.

    2023

  8. M. Dambrine and S. Zerrouq.
    Robust inverse homogenization of elastic micro-structures.
    Journal of Optimization Theory and Applications, 199 :209-232, 2023.

  9. 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.

  10. M. Dambrine, H. Harbrecht, and B. Puig. Bernoulli free boundary problems under uncertainty : The convex case.
    Computational Methods in Applied Mathematics, 23(2) :333-352, 2023.

    2022

  11. 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.

  12. F. Caubet, M. Dambrine and R. Mahadevan.
    Shape derivatives of eigenvalues for mixture problems: Computing the semi-derivative of a minimum.
    Applied Mathematics and Optimization, 86(1), 2022.

    2021

  13. F. Caubet, M. Dambrine and R. Mahadevan.
    Shape Derivative for Some Eigenvalue Functionals in Elasticity Theory.
    SIAM J. Control Optim., 59(2), 1218-1245.

  14. M.Dambrine, V. Bonnaillie-Noël, M. Dalla Riva and P. Musolino.
    Global representation and multi-scale expansion for the Dirichlet problem in a domain with a small hole close to the boundary.
    Communications in Partial Differential Equations Volume 46,Pages 282-309, 2021.

    2020

  15. M. Dambrine, B. Puig, and G. Vallet.
    A mathematical model for marine dinoflagellates blooms.
    DCDS-S Discrete & Continuous Dynamical Systems - S, doi: 10.3934/dcdss.2020424
  16. M. Dambrine and H. Harbrecht
    Shape optimization for composite materials and scaffold structures.
    SIAM Multiscale Model. Simul., 18(2), 1136-1152, 2020.
  17. M. Dambrine and B. Puig
    Oriented distance point of view on random sets with application to shape optimization.
    ESAIM: Control, Optimization and Calculus of Variations, 26 (2020).

    2019

  18. 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).
  19. M. Dambrine and J. Lamboley.
    Stability in shape optimization with second variation.
    Journal of Differential Equations, 267(5) :3009-3045, 2019.
  20. 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.

    2018

  21. V. Bonnaillie-Noël, M. Dalla Riva, M. Dambrine, and P. Musolino.
    A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary.
    Journal des Mathématiques Pures et Appliquées, 116 :211-267, 2018.

    2017

  22. M. Dambrine, I. Greff, H. Harbrecht, and B. Puig.
    Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness.
    Journal of Computational Physics, 330 :943-959, 2017.
  23. M. Dambrine, H. Harbrecht, M.D. Peters, and B. Puig.
    On Bernoulli's free boundary problem with a random boundary.
    International Journal for Uncertainty Quantification, 7(4) :335-353, 2017.

    2016

  24. C. Conca, M. Dambrine, R. Mahadevan, and D. Quintero.
    Minimization of the groundstate of the mixture of two conducting materials in a small contrast regime.
    Mathematical Methods in the Applied Sciences, 39(13) :3549-3564, 2016.
  25. M. Dambrine and A. Laurain.
    A first order approach for worst-case shape optimization of the compliance for a mixture in the low contrast regime.
    Structural and Multidisciplinary Optimization, 54(2) :215-231, 2016.
  26. L. Barbet, M. Dambrine, A. Daniilidis, and L. Rifford.
    Sard theorems for Lipschitz functions and applications in optimization.
    Israel Journal of Mathematics,212(2) :757-790, 2016.
  27. M. Dambrine, D. Kateb, and J. Lamboley.
    An extremal eigenvalue problem for the Wentzell-Laplace operator.
    Annales de l'Institut Henri Poincare (C) Analyse Non Linéaire, 33(2) :409-450, 2016.
  28. V. Bonnaillie-Noël, M. Dambrine, and C. Lacave.
    Interactions between moderately close inclusions for the two-dimensional Dirichlet-Laplacian.
    Applied Mathematics Research eXpress, 2016(1) :1-23, 2016.17
  29. M. Dambrine, I. Greff, H. Harbrecht, and B. Puig.
    Numerical solution of the Poisson equation on domains with a thin layer of random thickness.
    SIAM Journal on Numerical Analysis, 54(2) :921-941, 2016.

    2015

  30. M. Dambrine, H. Harbrecht, and B. Puig.
    Computing quantities of interest for random domains with second order shape sensitivity analysis.
    ESAIM : Mathematical Modelling and Numerical Analysis, 49(5) :1285-1302, 2015.
  31. M. Dambrine, C. Dapogny, and H. Harbrecht.
    Shape optimization for quadratic functionals and states with random right-hand sides.
    SIAM Journal on Control and Optimization, 53(5) :3081-3103, 2015.
  32. V. Bonnaillie-Noël, M. Dambrine, F. Hérau, and G. Vial.
    Artificial conditions for the linear elasticity equations.
    Mathematics of Computation, 84(294) :1599-1632, 2015.

    2013

  33. 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.
  34. V. Bonnaillie-Noël and M. Dambrine.
    Interactions between moderately close circular inclusions : The Dirichlet-Laplace equation in the plane.
    Asymptotic Analysis, 84(3-4) :197-227, 2013.
  35. F. Caubet and M. Dambrine.
    Stability of critical shapes for the drag minimization problem in Stokes flow.
    Journal des Mathématiques Pures et Appliquées, 100(3) :327-346, 2013.
  36. L. Barbet, M. Dambrine, and A. Daniilidis.
    The Morse-Sard theorem for Clarke critical values.
    Advances in Mathematics, 242 :217-227, 2013.
  37. 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.

    2012

  38. F. Caubet and M. Dambrine.
    Localization of small obstacles in Stokes flow.
    Inverse Problems, 28(10), 2012.
  39. M. Dambrine and D. Kateb.
    Persistency of wellposedness of Ventcel's boundary value problem under shape deformations.
    Journal of Mathematical Analysis and Applications, 394(1) :129-138, 2012.
  40. C. Amrouche, M. Dambrine, and Y. Raudin.
    An Lp theory of linear elasticity in the half-space.
    Journal of Differential Equations, 253(3) :906-932, 2012.
  41. J.P. Boufflet, M. Dambrine, G. Dupire, and P. Villon.
    On the necessity of Nitsche term. Part ii : An alternative approach.
    Applied Numerical Mathematics, 62(5) :521-535,2012.
  42. V. Bonnaillie-Noël, D. Brancherie, M. Dambrine, and G. Vial.
    Artificial boundary conditions to compute correctors in linear elasticity.
    Numerical Analysis and Applications, 5(2) :129-135, 2012.

    2011

  43. 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.
  44. M. Dambrine and D. Kateb.
    On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems.
    Applied Mathematics and Optimization, 63(1) :45-74, 2011.

    2010

  45. G. Dupire, J.P. Boufflet, M. Dambrine, and P. Villon.
    On the necessity of Nitsche term.
    Applied Numerical Mathematics, 60(9) :888-902, 2010.
  46. M. Dambrine and D. Kateb.
    On the ersatz material approximation in level-set methods.
    ESAIM - Control, Optimisation and Calculus of Variations, 16(3) :618-634,2010.
  47. V. Bonnaillie-Noël, M. Dambrine, F. Hérau, and G. Vial.
    On generalized Ventcel'stype boundary conditions for Laplace operator in a bounded domain.
    SIAM Journalon Mathematical Analysis, 42(2) :931-945, 2010.
  48. V. Bonnaillie-Noël, D. Brancherie, M. Dambrine, S. Tordeux, and G. Vial.
    Effect of micro-defects on structure failure : Coupling asymptotic analysis and strong discontinuity.
    European Journal of Computational Mechanics, 19(1-3) :165-175, 2010.

    2009

  49. V. Bonnaillie-Noël, M. Dambrine, S. Tordeux, and G. Vial.
    Interactions between moderately close inclusions for the Laplace equation.
    Mathematical Models and Methods in Applied Sciences, 19(10) :1853-1882, 2009.

    2008

  50. 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.
  51. 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.
  52. D. Brancherie, M. Dambrine, G. Vial, and P. Villon.
    Effect of surface defects on structure failure : A two-scale approach.
    European Journal of Computational Mechanics,17(5-7) :613-624, 2008.

    2007

  53. L. Afraites, M. Dambrine, K. Eppler, and D. Kateb.
    Detecting perfectly insulatedobstacles by shape optimization techniques of order two.
    Discrete and Continuous Dynamical Systems - Series B, 8(2) :389-416, 2007.
  54. 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.
  55. M. Dambrine and G. Vial.
    A multiscale correction method for local singular perturbations of the boundary.
    Mathematical Modelling and Numerical Analysis, 41(1) :111-127, 2007.
  56. 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.
  57. V. Bonnaillie-Noël, M. Dambrine, S. Tordeux, and G. Vial.
    On moderately close inclusions for the Laplace equation.
    C. R. Math. Acad. Sci. Paris, 345(11) :609-614,2007.

    2005

  58. M. Dambrine and G. Vial.
    Influence of a boundary perforation on the Dirichlet energy.
    Control and Cybernetics, 34(1) :117-136, 2005.

    2003

  59. M. Dambrine, J. Sokolowski, and A. Zochowski.
    On stability analysis in shape optimisation : Critical shapes for Neumann problem.
    Control and Cybernetics, 32(3 SPEC.ISS.) :503-528, 2003..

    2002

  60. Marc Dambrine.
    On variations of the shape Hessian and sufficient conditions for thestability of critical shapes.
    RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. AMat., 96(1) :95-121, 2002.

    2000

  61. M. Dambrine and M. Pierre.
    About stability of equilibrium shapes.
    ESAIM: Mathematical Modelling and Numerical Analysis, 34(4) :811-834, 2000.