Publications

Papers in peer-reviewed journals

Submitted

• Singular perturbation of optimal control problems on multi-domains
  Zhiping Rao and Nicolas Forcadel
  SICON, submitted   

2013

• State-Constrained Optimal Control Problems of Impulsive Differential Equations
  Nicolas Forcadel, Zhiping Rao and Hasnaa Zidani
  Applied Mathematics & Optimization, vol. 68, pp. 1--19, 2013   

2011

• Deterministic state constrained optimal control problems without controllability assumptions
  Olivier Bokanowski, Nicolas Forcadel and Hasnaa Zidani
  ESAIM: Control, Optimisation and Calculus of Variations., vol. 17(04), pp. 975--994, 2011    [ ]   

2010

• L¹-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1
  Olivier Bokanowski, Nicolas Forcadel and Hasnaa Zidani
  Mathematics of Computation., vol. 79(271), pp. 1395--1426, 2010    [ ]   
• Reachability and minimal times for state constrained nonlinear problems without any controllability assumption
  Olivier Bokanowski, Nicolas Forcadel and Hasnaa Zidani
  SIAM J. Control and Optimization., vol. 48(7), pp. 4292-4316, 2010    [ ]   

2009

• Existence of solutions for a model describing the dynamics of junctions between dislocations
  Nicolas Forcadel and Régis Monneau
  vol. 40 (6), pp. 2517-2535, 2009   
• Homogenization of fully overdamped Frenkel-Kontorova models
  Nicolas Forcadel, Cyril Imbert and Régis Monneau
  vol. 246, pp. 1057--1097, 2009   
• Minimizing movements for dislocation dynamics with a mean curvature term
  Nicolas Forcadel and Aurélien Monteillet
  ESAIM: Control, Optimisation and Calculus of Variations, vol. 15, 1, pp. 214--244, 2009   

2008

• A convergent scheme for a non-local coupled system modelling dislocations densities dynamics
  Ahmad El Hajj and Nicolas Forcadel
  Mathematics of Computation, vol. 77, pp. 789-812, 2008   
• An error estimate for a new scheme for mean curvature motion
  Nicolas Forcadel
  SIAM journal on numerical analysis, vol. 46, 5, pp. 2715--2741, 2008   
• Convergence of a Generalized Fast Marching Method for a non-convex eikonal equation
  Elisabetta Carlini, Maurizio Falcone, Nicolas Forcadel and Régis Monneau
  SIAM journal on numerical analysis, vol. 46, 4, pp. 2920--2952, 2008   
• Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics
  Francesca Da Lio, Nicolas Forcadel and  Monneau Régis
  Journal of the European Mathematical Society, vol. 10, 4, pp. 1105--1119, 2008   
• Dislocations dynamics with a mean curvature term: short time existence and uniqueness
  Nicolas Forcadel
  Differential and Integral Equations, vol. 21(3-4), pp. 285-304, 2008   
• Generalized Fast Marching Method: Applications to Image Segmentation
  Nicolas Forcadel, Christian Gout and Carole Le Guyader
  Numerical Algorithms, vol. 48, 1-3, pp. 189--211, 2008   

International conference with proceedings

2011

• Optimal control problems of BV trajectories with pointwise state constraints
  Nicolas Forcadel, Zhiping Rao and Hasnaa Zidani
  Proceedings of the 18th IFAC World Congress, Milan. Doi: 10.3182/20110828-6-IT-1002.01694, vol. 18, pp. 2583-2588, 2011   

Research reports

Submitted

• Comparison principle for a Generalized Fast Marching Method
  Nicolas Forcadel
  submitted   

2007

• Homogenization of the dislocation dynamics and of some particle systems with two-body interactions
  Nicolas Forcadel, Cyril Imbert and Régis Monneau
  2007