Nicolas Forcadel
Statut

Publications et Preprints

Communications Orales

Enseignements

Encadrement

Simulations numériques


 Prépublications
  1. (avec Z. Rao et H. Zidani) State-constrained optimal control problems of impulsive differential equations.

  2. (avec C. Le Guyader) A short time existence/uniqueness result for a nonlocal topology-preserving segmentation model. (soumis)

  3. (avec C. Imbert et R. Monneau) Uniqueness and existence of spirals moving by forced mean curvature motion. (soumis)

Publications
  1. (avec Z. Rao et H. Zidani) Optimal control problems of BV trajectories with pointwise state constraints , Proceedings of the 18th IFAC World Congress, Milan, vol. 18, 2011.

  2. (avec E. Carlini et R. Monneau) Generalized Fast Marching Method for dislocation dynamics, SIAM Journal on Numerical Analysis 49(6), 2011, pp.2470-2500.

  3. (avec C. Imbert et R. Monneau) Homogenization of accelerated Frenkel-Kontorova models with n types of particles, accepté à Transaction of the AMS.

  4. (avec O. Bokanowski et H. Zidani) Deterministic state constrained optimal control problems without controllability assumptions, ESAIM: Control, Optimisation and Calculus of Variations, 17(4), 2011, pp. 995-1015.

  5. (avec O. Bokanowski et H. Zidani) Reachability and minimal times for state constrained nonlinear problems without any controllability assumption, SIAM J. Control Optim., 48(7), 2010, pp. 4292-4316

  6. (avec O. Bokanowski et H. Zidani) L1-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1, Math. Comp. 79, 2010, pp 1395-1426.

  7. (avec C. Imbert et R. Monneau) Viscosity solutions for particle systems and homogenization of dislocation dynamics, Alvino, Angelo (ed.) et al., On the notions of solution to nonlinear elliptic problems : results and developments. Caserta : Dipartimento di Matematica, Seconda Università di Napoli ; Rome : Aracne. Quaderni di Matematica 23, 230-253 (2008).

  8.  Comparison principle for a Generalized Fast Marching Method, SIAM Journal on numerical analysis, 47(3), 2009, pp. 1923-1951.

  9. (avec R. Monneau) Existence of solutions for a model describing the dynamics of junctions between dislocations, SIAM Journal on mathematical analysis, 40(6), 2009, pp. 2517-2535.

  10. (avec C. Imbert et R. Monneau) Homogenization of the fully overdamped Frenkel-Kontorova models, Journal of Differential Equations, 246, 2009, pp. 1057-1097.

  11. (avec C. Imbert et R. Monneau) Homogenization of some particle systems with two-body interactions and of the dislocation dynamics, Discrete and Continuous Dynamical Systems A, 23(3), 2009, pp 785--826.

  12. An error estimate for a new scheme for mean curvature motion, SIAM journal on numerical analysis, 46(5), 2008, pp. 2715-2741.

  13. (avec E. Carlini, M. Falcone, R. Monneau) Convergence of a Generalized Fast Marching Method for an Eikonal equation with a Velocity Changing Sign, SIAM journal on numerical analysis, 46(6), 2008, pp. 2920-2952.

  14. (avec C. Gout et C. Le Guyader) Generalized Fast Marching Method: Applications to Image Segmentation, Numerical Algorithms, 48(1-3), 2008, pp 189-212.

  15. (avec A. Monteillet) Minimizing movements for dislocation dynamics with a mean curvature term, ESAIM: Control, Optimisation and Calculus of Variations, 15(1), 2009, pp 214-244.

  16. (avec A. El Hajj) A convergent scheme for a non-local coupled system modelling dislocations densities dynamics, Math. Comp. 77, 2008, pp 789-812.

  17. (avec F. Da Lio, R. Monneau) Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics, Journal of the European Mathematical Society, 10(4), 2008, pp 1105-1119.

  18. Dislocations dynamics with a mean curvature term: short time existence and uniqueness, Differential and Integral Equations, 21(3-4), 2008, pp 285-304.

Proceedings
  1. (with C. Imbert, R. Monneau) Recent results on dislocations dynamics and homogenization, PAMM, 7(1), 2007, pp 1040203–1040204.

  2. (avec P. Cardaliaguet, F. Da Lio, R. Monneau) Dislocation dynamics: a non-local moving boundary, proceedings du congres FBP 2005, Coimbra, Portugal, International Series of Numerical Mathematics, Vol. 154, Birkhaüser Verlag Basel/Switzerland, 125-135, (2006).

  3. (avec E. Carlini, E. Cristiani) A non-monotone Fast Marching scheme for a Hamilton-Jacobi equation modeling dislocation dynamics, Numerical Mathematics and Advanced Applications Proceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005 Bermdez de Castro, A.; Gmez, D.; Quintela, P.; Salgado, P. (Eds.).

Thèse et DEA
  1. Mémoire de thèse: Contribution à l'analyse d'équations aux dérivées partielles  décrivant le mouvement de fronts avec applications à la dynamique des dislocations sous la direction de Régis Monneau

  2. Mémoire de DEA sur le traitement d'images numériques réalisé sous la direction de Christian Gout.