Numerical Linear Algebra: Structured matrices computations,
Fast solvers for block Toeplitz systems, Factorization of matrices
issued from Boundary Element Methods.
Boundary Element Methods for Surface
Acoustic Waves (SAW) devices simulations in collaboration with Temex
Resonant frequencies in periodic structures (electromagnetic
gratings, photonic band gap optic devices)
Fast direct solvers for some complex
symmetric block Toeplitz linear systems, Linear Algebra Appl. 404 (2005) 193-222
Phases of the SAW Reflection and Transmission Coefficients for
Short Reflectors on 128° LiNbO3, IEEE Transactions
on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 51, No. 12,
December 2004, pp. 1671-1682 (with S. Lehtonen, V. Plessky, M.
Minimum-loss short reflectors on 128° LiNbO3, IEEE
Transactions on Ultrasonics, Ferroelectrics and Frequency
Control, Volume 51,
Oct. 2004, pp. 1203 - 1205 (with S. Lehtonen, V. Plessky, M.
Analysis of the radiation properties of a planar antenna on a
photonic crystal substrate. Math. Methods Appl. Sci. 24 (2001), no. 13,
1021--1042 (with H.Ammari and E. Bonnetier).
Resonances for Maxwell's equations in a periodic structure ,
Japan Journal of Industrial and Applied Mathematics (with H. Ammari and
J.-C. Nédélec), 17, 149-198 (2000).
Resonant frequencies for a narrow strip grating, Mathematical
Methods in the Applied Sciences, (with H. Ammari and J-C.
Nédélec), 22, 1121-1152 (1999).
Resonances for Maxwell's equations in a periodic structure. C. R.
Acad. Sci. Paris Sér. I Math. 325 (1997), no. 2, 211--215 (with
H. Ammari and J.-C Nédélec).