Publications

Publication de recherche

Publiées

1. Kévin Santugini. Solutions to the Landau-Lifshitz system with nonhomogenous boundary conditions arising from surface anisotropy and super exchange interactions in a ferromagnetic media , Nonlinear Analysis, Volume 65, Issue 1, 1 July 2006, Pages 129-158, preprint postprint.
2. Kévin Santugini. Modelization of a split in a ferromagnetic body by an equivalent boundary condition: Part 1. The classical case: no surface energies present Asymptotic Analysis, 47(3,4) (2006), pp. 227-259, preprint postprint
3. Kévin Santugini. Modelization of a split in a ferromagnetic body by an equivalent boundary condition: Part 2. The influence of super-exchange and surface anisotropy. Asymptotic Analysis, 47(3,4) (2006), pp. 261-290, preprint postprint
4. Kévin Santugini. Homogenization of ferromagnetic multilayers in the presence of surface energies ESAIM Control Optim. Calc. Var. 13(2) (2007), pp 305-330. preprint
5. Kévin Santugini. Homogenization of the heat equation in multilayers in the presence of interlayer conduction. Proc. Roy. Soc. Edinburgh Sect. A 137, pp 147-181, 2007. preprint
6. Kévin Santugini. Homogenization of the demagnetization field operator in perforated domains. J. Math. Anal. Appl., pp. 502-516, 2007. preprint
7. Kévin Santugini. Regularity on the boundary of weak solutions to the Landau-Lifshitz equation. Electronic Journal of Differential Equations 141, pp 1--9, 2007. preprint
8. Martin J. Gander, Laurence Halpern, Stéphane Labbé, Kévin Santugini. An Optimized Schwarz Waveform Relaxation Algorithm for Micro-Magnetics. Proceedings of the 17th International Conference on Domain Decomposition Methods, pp 203--212, 2007.

Acceptée

9. Martin J. Gander, Laurence Halpern, Kévin Santugini. Non shape regular domain decompositions: an analysis using a stable decomposition in $H^1_0$. Proceedings of the 20th International Conference on Domain Decomposition Methods.
10. Kévin Santugini. Homogenization at different linear scales, bounded martingales and the Two-Scale Shuffle limit. Accepted at COCV in October 2012

En révision

11. Martin J. Gander, Laurence Halpern, Kévin Santugini. Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates . Proceedings of the 21st International Conference on Domain Decomposition Methods.

Soumises

12. Martin J. Gander, Laurence Halpern, Kévin Santugini. A New Coarse Grid Correction for RAS. Proceedings of the 21st International Conference on Domain Decomposition Methods.
13. Martin J. Gander, Laurence Halpern, Kévin Santugini. Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in H 1 With explicit dependence of the constants on the shape regularity of the decomposition, submitted .
14. Stéphane Labbé, Kévin Santugini. Dependance of the final state of the magnetization in ferromagnetic bilayers on the magnitude of the super-exchange energy.

En préparation

15. Kévin Santugini. Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energies, 19 pages.

Manuscrit de thèse

Matériaux ferromagnétiques: influence d'un espaceur mince non magnétique, et homogénéisation d'agencements multicouches, en présence de couplage sur la frontière.

Publications à finalité historique ou didactique

1. Martin J. Gander, Kévin Santugini, A. Steiner, Shortest Road Network Connecting Cities. Bollettino dei docenti di matematica, 56, pp 9--19, 2008