List of publications

Marc DAMBRINE


LIST OF PUBLICATIONS




    Submitted

  1. M. Dambrine, Ch. Dossal, B. Puig, A. Rondepierre
    Stochastic Differential Equations for modeling first order optimization methods.



    In revision

  2. F. Caubet, M. Dambrine and R. Mahadevan.
    Shape derivatives of eigenvalues for mixture problems. Part one : scalar problems.
    in revision in Applied Mathematics and Optimization

    2021

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

  4. 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

  5. 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
  6. M. Dambrine and H. Harbrecht
    Shape optimization for composite materials and scaffold structures.
    SIAM Multiscale Model. Simul., 18(2), 1136-1152, 2020.
  7. 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

  8. 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).
  9. M. Dambrine and J. Lamboley.
    Stability in shape optimization with second variation.
    Journal of Differential Equations, 267(5) :3009-3045, 2019.
  10. 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

  11. 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

  12. 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.
  13. 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

  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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
  19. 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

  20. 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.
  21. 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.
  22. 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

  23. 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.
  24. 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.
  25. 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.
  26. L. Barbet, M. Dambrine, and A. Daniilidis.
    The Morse-Sard theorem for Clarke critical values.
    Advances in Mathematics, 242 :217-227, 2013.
  27. 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

  28. F. Caubet and M. Dambrine.
    Localization of small obstacles in Stokes flow.
    InverseProblems, 28(10), 2012.
  29. 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.
  30. 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.
  31. 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.
  32. 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

  33. 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.
  34. 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

  35. G. Dupire, J.P. Boufflet, M. Dambrine, and P. Villon.
    On the necessity of Nitsche term.
    Applied Numerical Mathematics, 60(9) :888-902, 2010.
  36. 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.
  37. 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.
  38. 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

  39. 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

  40. 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.
  41. 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.
  42. 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

  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. 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

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

    2003

  49. 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

  50. 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

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