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
Submitted
2013
2011
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
Research reports
Submitted
2007