UMA Home page for Nicolas Forcadel
Research activities (sorry, only french text)
- Dynamique des dislocations,
- Homogénéisation d'équations non-linéaires de type Hamilton-Jacobi,
- Equations non linéaires avec termes non-locaux,
- Fast Marching methods,
- Convergence et estimations d'erreur pour des schémas numériques,
- Contrôle optimal.
Publications
Papers in peer-reviewed journals
2014
- Singular perturbation of optimal control problems on multi-domains
and
SIAM Journal on Control and Optimization, vol. 52 (5), pp. 2917–2943, Society for Industrial and Applied Mathematics, sep, 2014
2013
- State-Constrained Optimal Control Problems of Impulsive Differential Equations
, and
Applied Mathematics & Optimization, vol. 68, pp. 1--19, 2013 
2011
- Deterministic state constrained optimal control problems without controllability assumptions
, and
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
, and
Mathematics of Computation., vol. 79(271), pp. 1395--1426, 2010 [ ] - Reachability and minimal times for state constrained nonlinear problems without any controllability assumption
, and
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
and
vol. 40 (6), pp. 2517-2535, 2009 - Homogenization of fully overdamped Frenkel-Kontorova models
, and
vol. 246, pp. 1057--1097, 2009 - Minimizing movements for dislocation dynamics with a mean curvature term
and
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
and
Mathematics of Computation, vol. 77, pp. 789-812, 2008 - An error estimate for a new scheme for mean curvature motion
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
, , and
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
, and
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
Differential and Integral Equations, vol. 21(3-4), pp. 285-304, 2008 - Generalized Fast Marching Method: Applications to Image Segmentation
, and
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
, and
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
2007
- Homogenization of the dislocation dynamics and of some particle systems with two-body interactions
, and
2007