•  Thèmes de recherche
•  Thèse et HDR
•  Publications
  1. Weighted Regularization of Maxwell Equations - Computations in Curvilinear Polygons, avec M. Costabel, M. Dauge et D. Martin, Numerical mathematics and advanced applications, Springer, 2003,pp. 273-280.    
  2. Efficiency of approximate boundary conditions for corner domains coated with thin layers, C. R. Acad. Sci. Paris, 2005, Ser. I, 340, pp. 215-220.    
  3. On the influence of a boundary perforation on the Dirichlet energy, avec M. Dambrine. Control and Cybernetics, 2005, Vol. 34 No1, pp. 117-136.    
  4. Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer, avec G. Caloz, M. Costabel et M. Dauge, Asymptotic Analysis, 2006, Vol. 50, No1-2, pp. 121-173.    
  5. Matching and multiscale expansions for a model singular perturbation problem, avec S. Tordeux et M. Dauge, C. R. Acad. Sci. Paris, 2006, Ser. I 343.    
  6. Computations of the first eigenpairs for the Schrödinger operator with magnetic field, avec V. Bonnaillie-Noël, M. Dauge et D. Martin. Comput. Methods Appl. Mech. Engrg., 2007, Vol. 196, pp. 3841-3858.    
  7. A multiscale correction method for local singular perturbations of the boundary, avec M. Dambrine, M2AN, 2007, Vol. 41, No1, pp.111-127.    
  8. On moderately close inclusions for the Laplace equation, avec V. Bonnaillie-Noël, M. Dambrine et S. Tordeux, C. R. Acad. Sci. Paris, 2007, Ser. I, Vol. 345, No11, pp. 609-614.    
  9. Reinforcement of a thin plate by a thin layer, avec L. Rahmani, Math. Meth. Appl. Sci., 2008, Vol. 31, pp. 315-338.    
  10. Effect of surface defects on structure failure: a two-scale approach, avec D. Brancherie, M. Dambrine et P. Villon, European Journal of Computational Mechanics, 2008, Vol. 17, No5-7, pp. 613-624.    
  11. Interactions between moderately close inclusions for the Laplace equation, avec V. Bonnaillie-Noël, M. Dambrine et S. Tordeux, M3AS: Mathematical Models and Methods in Applied Sciences, 2009, Vol. 10, No19, pp. 1853-1882.    
  12. Numerical simulations for nodal domains and spectral minimal partitions, avec V. Bonnaillie-Noël et B. Helffer, COCV : Control, Optimisation and Calculus of Variations, 2010, Vol. 16, No1, pp. 221-246.    
  13. Self-similar perturbation near a corner: matching versus multiscale expansions for a model problem, avec M. Dauge et S. Tordeux, Around the Research of Vladimir Maz'ya, International Mathematical Series (Springer), 2010, Vol. 12, pp 95-134    
  14. On generalized Ventcel's type boundary conditions for Laplace operator in a bounded domain, avec V. Bonnaillie-Noël, M. Dambrine et F. Hérau, SIAM J. Math. Anal., 2010, Vol. 42, No2, pp. 931-945    
  15. Effect of micro-defects on structure failure : coupling asymptotic analysis and strong discontinuity approach, avec V. Bonnaillie-Noël, D. Brancherie, M. Dambrine et S. Tordeux, Eur. J. Comp. Mech, 2010, Vol. 10, No1-2-3, pp. 165-175    
  16. Best Design for a Fastest Cells Selecting Process, avec M. Pierre, DCDS-S, 2011, Vol. 4, No1, pp. 223-237    
  17. Multiscale expansion and numerical approximation for surface defects, avec V. Bonnaillie-Noël, D. Brancherie, F. Hérau, M. Dambrine et S. Tordeux, ESAIM Proc., 2011, 33, No2, pp. 22-35.    
  18. High order finite element calculations for the deterministic Cahn-Hilliard equation, avec L. Goudenège et D. Martin, J. Sci. Comp., 2011, Vol. 52, No2, pp. 294-321.    
  19. Artificial boundary conditions to compute correctors in linear elasticity, avec V. Bonnaille-Noël, D. Brancherie et M. Dambrine, Numerical Analysis and Applications, 2012, 5, 2, pp. 129-135    
  20. Artificial conditions for the linear elasticity equations, avec V. Bonnaille-Noël, M. Dambrine et F. Hérau, Math. of Comp. (2014) [DOI].    
  21. Multi-scale Asymptotic expansion for a singular problem of a free plate with thin stiffener, avec L. Rahmani, Asymptotic Analysis 90 (2014) 161–187.    
  22. Topological sensitivity analysis for the modified Helmholtz equation under an impedance condition on the boundary of a hole, avec M. Jleli et B. Samet, Journal de Mathématiques Pures et Appliquées, Volume 103, Issue 2, February 2015, Pages 557-574 [DOI]    
  23. Multi-Scale Asymptotic Expansion for a Small Inclusion in Elastic Media, avec M. Arfaoui, M.R. Ben Hassine, M. Moakher et Y. Renard, Journal of Elasticity, Volume 131, Issue 2, April 2018, Pages 207-237 [DOI]    
  24. Asymptotic expansions and effective boundary conditions: a short review for smooth and nonsmooth geometries with thin layers, avec A. Auvray, ESAIM Proc., Vol. 61, 2018, pp. 38-54 [DOI]    
  25. Improved impedance conditions for a thin layer problem in a non smooth domain, avec A. Auvray, Math. Meth. Appl. Sci., Vol. 42, 2019, 1432–1448 [DOI]    
  26. Modeling of Exposure to Low Frequency Electromagnetic Fields of Workers in Arbitrary Posture, avec A. Conchin Gubernati, F. Freschi, L. Giaccone, R. Scorretti et L. Seppecher, IEEE Transactions on Magnetics, Vol. 56, Issue 2, 2019 [DOI]    
  27. Asymptotic expansions for the conductivity problem with nearly touching inclusions with corner,, avec V. Bonnaillie-Noël et C. Poignard, Annales H. Lebesgue, Vol. 3, 2020, pp. 381-406 [DOI]    
  28. Small defects reconstruction in waveguides from multifrequency one-side scattering data,, avec E. Bonnetier, A. Niclas et L. Seppecher, Inverse Problems and Imaging, Vol. 16, Issue 2, 2022, pp. 417-450 [DOI]    
  29. Metamodeling the optimal total revenues of the short-term optimization of a hydropower cascade under uncertainty, avec A. Benefice, G. Bontron, C. Helbert et A. Piguet, Science and Technology for Energy Transition, Vol. 78, 2023 [DOI]    
  30. The Helmholtz problem in slowly varying waveguides at locally resonant frequencies, avec E. Bonnetier, A. Niclas et L. Seppecher, Wave Motion, Vol. 120, Issue 7, 2023 [DOI]    

Dernière mise à jour le 23/03/2023.